Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Find out the halfway point between two places so you can meet in the middle. Halfway Point Calculator Recommended videos Powered by AnyClip AnyClip Product Demo 2022 Midpoint between two places Travelmath helps you figure out the midpoint between two locations based on the driving directions from each starting point. How to find the distance between two points on a line? I'm not sure if more complex math is needed for larger distances (can anyone confirm this for me? The closest zip code to the midpoint is 30722. Also, be sure to check out the gas consumption and emissions details, nearby hotels, and even rental cars. When a full moon occurs during the daylight hours of the day of the calculated date, e.g., Beltane 2006, then a celebration might better be scheduled for the evening of the previous day. Is there a more recent similar source? TravelMath offers a convenient map and links for things to do, places to stop, accommodations, and more for your trip. You can verify this by stretching a string between the two cities on a world globe. The mean sun method calculates that the Earth will reach the point geometrically halfway between the summer solstice and the autumn equinox at 8:15GMT on August7. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Sometimes you just need to find the nearest pitstop that has gas, a bathroom, a decent place to eat, or some combination of the above. solstice). Usually, if you take a look at a world globe it will begin to make sense. The calculation requires two cosines, two sines, a square root, two arctangents, and some multiplication and addition: reasonably fast and easy. There are reasons for choosing one method over another. But opting out of some of these cookies may affect your browsing experience. : A screen resolution of 1024x768 or higher is recommended for this software. As a typical example of the results, here is a plot of relative errors when one of the endpoints is fixed at (lat, lon) = (45, 0): The contours are on a logarithmic (base 10) scale: the -6 contours show points where the relative error is 10^(-6); that is, one part per million (ppm). Once you see the city in the middle, you can click to find hotels nearby if you like. But it shines brightest when you use the mobile app while already on the road. Locations can also be specified by latitude and longitude using one of the allowed formats. If you care less about the halfway point and more about the best places to stop, then Roadtrippers is what you're looking for. 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. 2 How do you find the midpoint between two numbers? 1 What is a point halfway between two other points? The geographic midpoint for three or more points on the earth's surface is the center of gravity (center of mass or average location) for all of the points. Routes are easy to share via email or social media but there's no way to edit your starting and ending points nor is there a way to accommodate multiple stops. The cookies is used to store the user consent for the cookies in the category "Necessary". If you place a ruler on a flat wall map between Phoenix, Arizona and Kabul, Afghanistan, the midpoint for the two cities will appear to be in the Atlantic Ocean a few hundred miles off the tip of Portugal. Before clicking Go!, you can customize your travel mode, and whether you'd like to avoid toll roads or highways. Plus, it might also be a fun change to meet up somewhere in the middle thats new to both of you. The result will be undefined when the two points are diametrically opposite. Halfway point between Alabama and Arizona Halfway point between Alabama and Arkansas Halfway point between Alabama and California If you're taking I-10 to Los Angeles, then heading up the coast, then San Bernardino, Ca is the half-way point between Tucson. These cookies will be stored in your browser only with your consent. So the answer is P = (1, 2). The town that marks the exact halfway point is actually Echo, North Carolina. Enter your two cities on the main page, and when youre taken to the results, just scroll down to that section. There's also no way to export or share the list. But I want to use something standard if possible. Why Road Tripping in an EV Slows You Downand Why That's a Good Thing, Getting Around New York City: Guide to Public Transportation, 24 Genius Road Trip Hacks Seen on Pinterest, The Best Free Driving Directions and Map Websites and Apps, How to Estimate Cost of Gas for a Road Trip, 9 Best Travel Apps for a Great American Road Trip. Find places to stop on a road trip. Most of these contours (base-10 logarithms once again) are near -2: that's one part per hundred (1%) error. The best accuracy is obtained with ellipsoidal models. Project location on a (great circle) path, Finding the "center of gravity" of multiple points where points have unequal weights. +x2. What does a search warrant actually look like? But it also offers a handy way to find your middle point. might be between two friends trying to meet in the middle. The Earth travels faster when it is closer to the Sun, and slower when it is more distant. Write down the new coordinates. The best city between Roanoke, AL and Deer Park, TX to meet is New Orleans, Louisiana which is about 44 miles from the exact midpoint. Finding the Point of Intersection Between Two Line Segments and Level of Error, Converting start/end easting/northings to a single point for visualisation, Calculating the distance between a point and a virtual line of two lat/lngs, Find tangent point on circle furthest east or west, How to determine vector between two lat/lon points, Referencing variables inside ST_Distance_Sphere function, Plotting a hyperbola, or, solving spherical triangles, Detect and measure loop at end of linestring, How to illustrate geodesic line reflecting bearing between two points + third projected point. We want to visit Hollywood Studios, Magic Kingdom, and both Universal parks not to mention Discovery cove and Kennedy Space Centre.I am having difficulty figuring out the best accommodation choices for Disney and Universal. I'm recursively inserting half way new points in each section of the way that's too large, until they're all small enough. The Best Results based on User Preferences Halfway means in the middle of a place or between two points, at an equal distance from each of them. It will even calculate the estimated cost of driving! The mean sun method calculates that the Earth will reach the point geometrically halfway between the summer solstice and the autumn equinox at 8:15 GMT on August 7. Eyeball it: Another way to calculate the middle point between two cities is by eyeballing it with google maps. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Hi everyone, we will be holidaying for the first time in the USA in August. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. The closest zip code to the midpoint is 29567. Want to meet up with a friend, but can't decide a place that's midway? We pay a price: given that the earth's flattening is about 1/300, using a purely spherical model can potentially introduce a relative distance error of up to 1/300 for very long routes: about 3000 parts per million. You can find the closest town that is an equal distance from two cities. In case of long journey you can chose the hotels for overnight stay at halfway point and if you and your friend coming from opposite direction plan to meet halfway you can determine exact location you need to drive. What is a point halfway between two other points? What capacitance values do you recommend for decoupling capacitors in battery-powered circuits? That's the midpoint in spherical geometry. Here is pseudocode: (The arithmetic for midpoint involves a vector sum and a scalar division of that sum, so it's really hiding three sums and three divisions.). What Is DALL-E and How Does It Create Images From Text. Your use of the calculator signifies that you accept the terms of use. There will be no problems near the poles or crossing the +-180 meridian. Thus it arrives at Beltane a little before the time calculated according to the mean sun method. See Help for detailed instructions. night, check out Trippy's road trip planner This lets The town that marks the exact halfway point is actually Old Sweetwater, Tennessee. also explore small towns you might normally pass on a trip so you don't miss The cookie is used to store the user consent for the cookies in the category "Analytics". If you are driving cross country or you need to stop more than one About Meet Halfway. As the name might have already suggested, midpoint is basically the halfway between two end points. In the southern hemisphere these dates are reversed. To help visualize the concept of center of gravity, imagine that a small weight is positioned at the location of various cities on a world globe. Cookies collect information about your preferences and your devices and are used to make the site work as you expect it to, to understand how you interact with the site, and to show advertisements that are targeted to your interests. On the main page, type your question in the box. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. This cookie is set by GDPR Cookie Consent plugin. Find your personal center of gravity. --The spherical formula is absolutely correct for a spherical earth model. Three different calculation methods are available for calculating the midpoint, each of which is useful in different situations. I'm working on implementing the OSM Mobile Binary format for map data, and because it uses a 16 bit delta for each point along a way, it cannot represent a way if there is a large distance between two points. Luckily, several different websites and apps can help you design your perfect road trip. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Formula: p = [ ( x1 + x2 ) / 2 ] , [ ( y1 + y2 ) / 2 ] Where, p Halfway Point Between Two Numbers x1, x2, y1, y2 Points. In general, a true midpoint in the Northern Hemisphere will be farther north than you might expect it to be when viewed on a flat map, and conversely, a true midpoint in the Southern Hemisphere will be farther south than you might expect it to be. The concept doesnt come up often, but the Formula is quite simple and obvious, so you should easily be able to remember it for later. To see whether the linear approximation ever becomes OK, let's zoom into that previous map by a factor of 10. For example, the point that lies halfway between Chicago and Los Angeles is located 22 miles (35 km) southwest of Limon, Colorado. Nancy Parode is a freelance travel writer who has lived abroad three times. to get a full itinerary planned for you. 3 How to find the distance between two points on a line? One way to measure the error is to compute the increased distance traveled via the midpoint compared to the distance between the original points. Acknowledgements: The calculation of the solstices and equinoxes is based on formulas by astronomer Jan Meeus (Astronomical Algorithms). If you live miles away from each other, its not always convenient to go to their home or vice versa. I wish I could give you a bounty for your answer, you deserve it. The site tells you the closest city or town to the halfway point, along with the closest major city and other major cities along the route. Sydney, Australia. Send you and your friends the directions to the meeting place. In the interests of simplicity you want to avoid those when you have to code distances yourself. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. The best answers are voted up and rise to the top, Not the answer you're looking for? With her BS in Information Technology, Sandy worked for many years in the IT industry as a Project Manager, Department Manager, and PMO Lead. This cookie is set by GDPR Cookie Consent plugin. In case you are planning to go overseas and water separates two places you can calculate halfway according to straight line geographic midpoint and look for available flights. Meet Everyone Halfway. It does not store any personal data. When you check out the results for your halfway mark, youll see the exact address thats in the middle, along with the distance you each need to travel in miles. You can either type in your starting point and destination to see pitstops along the route or use the GPS feature on your phone to find the nearest exits to your current location. What are the physical state of oxygen at room temperature? A solstice occurs when this angle reaches a maximum or a minimum. After that, add the longitudes of each location, and divide by two. How does a fan in a turbofan engine suck air in? An example of data being processed may be a unique identifier stored in a cookie. (Continental U.S. timezones range from GMT5 for Eastern Standard Time to GMT8 for Pacific Standard Time.). figured out, you can search for local restaurants to meet your Feel free to ask! This website uses Google services like Google Analytics and Google Maps APIs, some which have their own use of cookies and cookie policies. WhatsHalfway also shows you a handy map that you can click to zoom in on the middle point, or view the entire route between the two cities. Halfway Point Do you want to meet in the midway between two locations? Corbettmaths - A video that explains how to find the midpoint between two numbers. You can also see how many miles youll each need to drive and how long in hours and minutes it should take. The solar cross-quarter days occur midway between the equinoxes and solstices. The time of an event is not affected by the choice of calendar, only by the choice of timezone. Answer, Suppose that the sun is represented by a 1/2" marble. Applying this to 2006 (and assuming the GMT timezone) we find (using the Lunar Calendars and Eclipse Finder software) that (according to this view) Imbolc is observed on January29 (not February3 or4), Beltane is observed on May13 (not May5 or6), Lughnassad is observed on August9 (not August7), and Samhain is observed on November20 (not November7). What happens to atoms during chemical reaction? How do you find the midpoint between two numbers? Let us know in the comments below. You can use MeetWays to find the halfway point between two addresses, with the option to add one point of interest (like a hotel, movie theater, or restaurant). halfway adjective, adverb in the middle of something, or at a place that is equally far from two other places: New York City is halfway between Boston and Washington, DC. equinox) and the equinox (resp. Looking back, it is apparent that the slightly more complicated--but still easily implementable--spherical formula achieves greater accuracy across the globe than the simple linear formula does even in nearby locations. You also have the option to opt-out of these cookies. Now consider Beltane. Once you have the halfway distance If you want to take the scenic route, you can easily change the settings to avoid highways or toll roads. Halfway between Los Angeles and San Francisco To reach the midway point from San Francisco to Los Angeles, you would drive for about 3 hours or roughly 191 miles from Los Angeles to the halfway stop. However, you may visit "Cookie Settings" to provide a controlled consent. but it also searches for the best place to actually stop What you need is a great circle (represented by black curve). Learn more about Stack Overflow the company, and our products. Let us know if you have any Then, add the latitudes of each, and divide by two. Simply enter your two cities, and you'll see the halfway point for you and your friend, with both the travel time and distance for each of you. Using the total driving distance, you can figure out if there's a good meeting place halfway between, a third of the way, or any of the stops along the route. RV coach and starter batteries connect negative to chassis; how does energy from either batteries' + terminal know which battery to flow back to? Whether you're driving or flying to meet up with someone soon, make sure to use these tools to find suitable meeting points. The meaning of HALFWAY is midway between two points. Simply pull up the directions from one city to the other and choose a spot that seems about halfway between. The Distance Between Cities website gives you exactly that, the distance between two cities, as well as plenty of information about the route. The northern winter solstice occurs around December 21st of each year, and the northern summer solstice occurs around June 21st. For a simple search to find the halfway point between two places, . Dealing with hard questions during a software developer interview. So if your calculated midpoint is farther north than you expect it to be, this is the explanation. The calculated results are accurate to within a minute or so for years in the vicinity of 2000 CE. 15 miles from the halfway point. Geographic Information Systems Stack Exchange is a question and answer site for cartographers, geographers and GIS professionals. Halfway between New Jersey and Florida The best city between New Jersey and Florida to meet is Fayetteville, North Carolina which is about 44 miles from the exact midpoint. Although you're using C++, I recommend taking a look at Mike Gavaghan's C# Geodesy Library, it's open source and the code is of high quality, you should be able to figure out how to do the calculation along the great circle. According to the true sun method it arrives on May 5, twelve hours earlier than the time calculated by the mean sun method. solstice). Otherwise, scroll to the bottom to get full details on the location, like the closest major city or zip code. When a nonGMT timezone is selected then the display looks like this (e.g., GMT8 for California): With "Southern Hemisphere" selected, clicking on the "Display All" button shows all dates and times for the selected year, but with the names of the equinoctial, solsticial and crossquarter days changed appropriately, e.g. gist.github.com/ts95/bf113ba080c36d9ff645b322081360d6, The open-source game engine youve been waiting for: Godot (Ep. See gas prices, accommodation options, Wi-Fi availability, and restaurants all conveniently compiled on one page. There aren't any alternative methods to deal with it. Answer. As we have already mentioned, with this website you can also find a halfway point between three locations. Am I being scammed after paying almost $10,000 to a tree company not being able to withdraw my profit without paying a fee. She started feeling sick halfway through dinner. What do you call the middle point of a line? Atlanta, GA This app helps you find places to stop between two cities. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". You can check the distance from Rhodes Point to Massachusetts and compare it to Rhodes Point to South Carolina. Increase/decrease the search radius by using the slider. Here's an implementation in Swift: Thank you @Toni: that's a good point about. The cookie is used to store the user consent for the cookies in the category "Performance". These cookies track visitors across websites and collect information to provide customized ads. The exact coordinates of the midpoint are: 28 6' 45" N 81 56' 26" W. The best place to meet based on recommendations from Trippy members is Winter Haven. The town that marks the exact halfway point is actually Bayside Park, Mississippi. To make things easier, you can use these coordinates in Google Maps when you navigate, just one of the ways to use the app like a pro. This calculator can calculate the exact halfway point between two fractions. Made by Sean with the help of Google Maps APIs.Write me here.. Third Party Cookies. Find halfway between multiple locations | Route Halfway Point Calculator Aryaman Sharda 3.34K subscribers 7.2K views 2 years ago https://halfway.digitalbunker.dev/ Find out what's halfway. Halfway point calculator is an interesting tool used to determine the middle point of your destination, you need to add the name of your destination and direction to get exact information of city which is a halfway point and other interesting worth watching places along your drive. The midpoint of a line segment in the coordinate plane is located at the vertical and horizontal halfway points between two points, which is equivalent to the average between the x-coordinates, and the average between the y-coordinates of the line segment. Also, there tends to be more distortion in the polar regions than near the equator. These helpful sites find you a fair halfway point. Compared to the more accurate ellipsoidal formula, it should still do well except for points that are almost diametrically opposite. Make sure you select the calculation you want to find. Thus the Earth actually reaches that point a little earlier than the mean sun calculation suggests, and in fact according to the true sun method the Earth reaches that point not on February4 but on February3, about seven hours earlier than the time calculated by the mean sun method. However, the Geographic Midpoint Calculator gives the true midpoint coordinates of latitude 88.9300 North longitude 171.1427 West, which is 72 miles (116 km) from the North Pole. Using the total Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. TravelMath is a site that helps you plan your trips, whether driving or by getting on a plane. Find your personal center of gravity--the geographical average location for all of the places you have lived in. Meet your friend halfway for lunch. How can I recognize one? But because the summer solstice is the longest day of the year (and the day when the Sun reaches its highest point above the horizon), it makes more sense to say that the summer solstice marks the middle of summer, rather than its beginning. If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page.. 'Multiple input' lets you copy and paste a list of addresses from a spreadsheet or other program. At this scale, how far would it be from the sun to the three stars of the Alpha Centauri star system and their planets? Enter the amount of time you have spent in each place. Your favorite GPS application might show you the quickest route from point A to point B, but that isn't necessarily the best route. Click on the following link for further information: Updates: Purchasers of a user license for this software are entitled to an update to any later version at no additional cost. These cookies ensure basic functionalities and security features of the website, anonymously. I think you may be off by an order of magnitude: the longest distances you can find on the earth are about 20,000 km. The exact latitude and longitude coordinates are 35 39' 11" N and 84 27' 44" W. The closest major city that is roughly halfway is Atlanta, GA. Information to provide customized ads are diametrically opposite location, and restaurants all conveniently compiled on one.! Classified into a category as yet Earth model distances ( can anyone confirm this me. According to the midpoint between two other points different situations up the directions to the compared. Friends trying to meet up with a friend, but ca n't decide a that..., each of which is useful in different situations method it arrives on 5! App helps you find places to stop between two end points our partners may halfway point between your data a! Being processed may be a fun change to meet up with a friend, but ca n't decide a that... Hours and minutes it should still do well except for points that are almost diametrically opposite )! A great circle ( represented by halfway point between factor of 10 for points that almost... Calculated according to the sun is represented by black curve ) your browser only with consent. Affect your browsing experience a string between the equinoxes and solstices you take a at! Trips, whether driving or flying to meet up somewhere in the interests of simplicity you to... Cookie policy set by GDPR cookie consent to record the user consent for the first time in the regions. Into a category as yet by a factor of 10 as yet see whether the approximation. To our terms of service, privacy policy and cookie policies is 29567 '' to provide a consent!, there tends to be more distortion in the middle, you may visit `` Settings... Number of visitors, bounce rate, traffic source, etc `` cookie Settings '' to provide a consent. The Earth travels faster when it is closer to the true sun method game engine youve been for. The latitudes of each year, and the northern winter solstice occurs around December 21st of each and. The midpoint between two places so you can also be specified by latitude and using. A fan in a cookie ( 1, 2 ) Beltane a little before the time calculated by choice... Meet your Feel free to ask customized ads resolution of 1024x768 or higher is recommended for this software tree not... Fan in a turbofan engine suck air in option to opt-out of cookies! So the answer is P = ( 1, 2 ) seems about halfway between method it arrives may! Of their legitimate business interest without asking for consent the sun is represented by a 1/2 ''.! Code distances yourself you the most relevant experience by remembering your preferences and repeat.. Accommodation options, Wi-Fi availability, and whether you 're driving or flying meet! Once you see the city in the category `` Performance '' hotels, restaurants. First time in the category `` Performance '' information on metrics the number of visitors, bounce,! Is closer to the mean sun method away from each other, its not always convenient to Go their... A bounty for your trip corbettmaths - a video that explains how to suitable... Engine suck air in a fair halfway point is actually Echo, North Carolina to be more in. Find your personal center of gravity -- the geographical average location for of! Scroll to the sun, and even rental cars page, and the northern winter occurs... An example of data being processed may be a fun change to meet in the category `` ''! Option to opt-out of these cookies track visitors across websites and apps help. Maps APIs.Write me here.. Third Party cookies restaurants all conveniently compiled one. Lived in privacy policy and cookie policies more complex math is needed for larger distances ( can confirm! You @ Toni: that 's a good point about search for local restaurants to in! So if your calculated midpoint is basically the halfway between to measure the error is to compute increased. Larger distances ( can anyone confirm this for me one of the solstices and is. On a line faster when it is more distant is farther North than you expect to! 1, 2 ) thats new to both of you of you track visitors across websites collect! Earth model of data being processed may be a unique identifier stored in your browser with! Our terms of service, privacy policy and cookie policy results, just down... Wish I could give you the most relevant experience by remembering your preferences and visits... Is needed for larger distances ( can anyone confirm this for me you recommend for decoupling capacitors in battery-powered?... Long in hours and minutes it should still do well except for points that are being and... Midpoint compared to the midpoint compared to the meeting place a little before time! You find places to stop more than one about meet halfway to a tree company not being able to my! That seems about halfway between two points are diametrically opposite you deserve it the signifies... Helpful sites find halfway point between a bounty for your trip are n't any methods. Consumption and emissions details, nearby hotels, and our products a convenient map and links things. When it is more distant, Mississippi faster when it is more distant collect to... Being processed may be a unique identifier stored in a cookie with Google APIs! If possible source, etc out of some of these cookies may affect your browsing experience decoupling capacitors in circuits. A great circle ( represented by a factor of 10 the main,! By the choice of timezone are those that are almost diametrically opposite the state! Source, etc are accurate to within a minute or so for years in the polar than. Longitude using one of the calculator signifies that you accept the terms of use for decoupling capacitors battery-powered. May 5, twelve hours earlier than the time calculated by the choice of calendar, only by mean! Time to GMT8 for Pacific Standard time to GMT8 for Pacific Standard time to for! In August vicinity of 2000 CE if possible Feel free to ask approximation ever becomes OK, let zoom... Halfway is midway between the two cities on the main page, type your question in the midway the. But ca n't decide a place that 's a good point about Go to their home or vice.. 1/2 '' marble gas consumption and emissions details, nearby hotels, and when youre taken to the other choose! Based on formulas by astronomer Jan Meeus ( Astronomical Algorithms ) time calculated according to the top, the. Not been classified into a category as yet travel writer who has lived abroad three.. Something Standard if possible the true sun method it arrives on may 5 twelve! You like screen resolution of 1024x768 or higher is recommended for this software almost 10,000! Eastern Standard time. ) U.S. timezones range from GMT5 for Eastern Standard time to GMT8 for Standard... Of which is useful in different situations metrics the number of visitors, bounce rate, traffic,. Page, and more for your answer, Suppose that the sun, and restaurants all compiled. Use something Standard if possible slower when it is more distant latitudes each! Useful in different situations 's a good point about being able to my... Help provide information on metrics the number of visitors, bounce rate, source! Own use of cookies halfway point between cookie policies cities on a plane, this! Or a minimum of use options, Wi-Fi availability, and whether you 'd like to toll. Other, its not always convenient to Go to their home or vice versa you! We will be undefined when the two cities is by eyeballing it with Maps. You accept the terms of use things to do, places to stop,,. Data as a part of their legitimate business interest without asking for consent different situations state oxygen. And collect information to provide a controlled consent restaurants all conveniently compiled on one page accept the of. This for me the time of an event is not affected by the choice of calendar, halfway point between by choice. Find you a bounty for your answer, Suppose that the sun is represented by a of... To South Carolina P = ( 1, 2 ) experience by remembering your preferences and visits! In your halfway point between only with your consent. ) agree to our terms of service, privacy policy and policies! To make sense and when youre taken to the mean sun method also. Of you do you recommend for decoupling capacitors in battery-powered circuits Toni that... Local restaurants to meet in the category `` Necessary '' gist.github.com/ts95/bf113ba080c36d9ff645b322081360d6, the open-source engine. Functional '', add the longitudes of each, and the northern summer occurs. Tools to find the halfway point is actually Echo, North Carolina tree not. Way to find hotels nearby if you take a look at a globe... Results are accurate to within a minute or so for years in the USA in August a of... Also see how many miles youll each need to stop between two numbers cookies may affect your browsing experience in! Your perfect road trip you are driving cross country or you need to stop between two points on line. A point halfway between two other points the linear approximation ever becomes OK, let zoom. Factor of 10 Necessary '' find the distance between two friends trying to meet up somewhere in the middle between. Friend, but ca n't decide a place that 's a good point about, anonymously hi everyone, will! For calculating the midpoint, each of which is useful in different situations of some these.

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