If L is the line containing the centers of two circles, intersections are on opposite sides of L ...
Why complex landing gears are used instead of simple,reliability and light weight muscle wire or shape memory alloys?
Resize vertical bars (absolute-value symbols)
Is it dangerous to install hacking tools on my private linux machine?
How to align enumerate environment inside description environment
Can you force honesty by using the Speak with Dead and Zone of Truth spells together?
I can't produce songs
Simple Line in LaTeX Help!
How can I prevent/balance waiting and turtling as a response to cooldown mechanics
Does the Black Tentacles spell do damage twice at the start of turn to an already restrained creature?
How to change the tick of the color bar legend to black
Sally's older brother
As a dual citizen, my US passport will expire one day after traveling to the US. Will this work?
Did Mueller's report provide an evidentiary basis for the claim of Russian govt election interference via social media?
How can a team of shapeshifters communicate?
Does silver oxide react with hydrogen sulfide?
Tannaka duality for semisimple groups
How much damage would a cupful of neutron star matter do to the Earth?
How many time has Arya actually used Needle?
Can an iPhone 7 be made to function as a NFC Tag?
What does the writing on Poe's helmet say?
Where is the Next Backup Size entry on iOS 12?
Is multiple magic items in one inherently imbalanced?
A proverb that is used to imply that you have unexpectedly faced a big problem
Monty Hall Problem-Probability Paradox
If L is the line containing the centers of two circles, intersections are on opposite sides of L
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)The number of the circles which are tangent to two circles and to a lineThree mutually-tangent circles have centers at given distances from each other; find each radius, and find the area between the circlesWithout using angle measure how do I prove two lines are parallel to the same line are parallel to each other?Proving Chords to be Equal using Radical AxisProve that if a ray has its endpoint on a line, where the ray is not on the line, then the points of the ray are on the same side of the line.A little conjecture about a circle related to any triangleAnother beauty hidden in a simple triangle (3)Ceva's Theorem: Proving lines in a specifically constructed triangle intersectProve all points lie on a common circleProving two lines are parallel with intersections and midpoints
$begingroup$
My current professor would like us to prove that the two intersection points of two circles lie on opposite sides of the line L that contains both of their centers. He gave us the hint that we need to use right angles and midpoints to prove it. However I am stuck. It seems straight forward but I am stumped.
proof-writing euclidean-geometry
asked Mar 26 at 1:12
User83114User83114
1
$endgroup$
add a comment |
$begingroup$
My current professor would like us to prove that the two intersection points of two circles lie on opposite sides of the line L that contains both of their centers. He gave us the hint that we need to use right angles and midpoints to prove it. However I am stuck. It seems straight forward but I am stumped.
proof-writing euclidean-geometry
asked Mar 26 at 1:12
User83114User83114
1
$endgroup$
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35
add a comment |
$begingroup$
My current professor would like us to prove that the two intersection points of two circles lie on opposite sides of the line L that contains both of their centers. He gave us the hint that we need to use right angles and midpoints to prove it. However I am stuck. It seems straight forward but I am stumped.
proof-writing euclidean-geometry
asked Mar 26 at 1:12
User83114User83114
1
$endgroup$
My current professor would like us to prove that the two intersection points of two circles lie on opposite sides of the line L that contains both of their centers. He gave us the hint that we need to use right angles and midpoints to prove it. However I am stuck. It seems straight forward but I am stumped.
proof-writing euclidean-geometry
proof-writing euclidean-geometry
asked Mar 26 at 1:12
User83114User83114
1
asked Mar 26 at 1:12
User83114User83114
1
asked Mar 26 at 1:12
User83114User83114
1
asked Mar 26 at 1:12
User83114User83114
1
asked Mar 26 at 1:12
User83114User83114
1
1
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35
add a comment |
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3162562%2fif-l-is-the-line-containing-the-centers-of-two-circles-intersections-are-on-opp%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3162562%2fif-l-is-the-line-containing-the-centers-of-two-circles-intersections-are-on-opp%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
How is the side of a line defined? (i mean, rigorously)
$endgroup$
– FormerMath
Mar 26 at 1:35