How did Euclid prove there was an infinite amount of primes?
Q. Can some one please tell me (in very dumbed down language) how Euclid proved there was an infinite amount of primes? Thanks :)
Asked by Bobby Knobby - Thu Apr 16 08:36:07 2009 - - 2 Answers - 0 Comments
A. 1. Assume there are a finite number, n, of primes, the largest being pn. 2. Consider the number that is the product of these, plus one: N = p1...pn+1. 3. By construction, N is not divisible by any of the pi. 4. Hence it is either prime itself, or divisible by another prime greater than pn, contradicting the assumption. q.e.d. Basically, he assumed the opposite and proved that the opposite wasn't possible.
Answered by unknown - Thu Apr 16 08:43:34 2009
Q. Can some one please tell me (in very dumbed down language) how Euclid proved there was an infinite amount of primes? Thanks :)
Asked by Bobby Knobby - Thu Apr 16 08:36:07 2009 - - 2 Answers - 0 Comments
A. 1. Assume there are a finite number, n, of primes, the largest being pn. 2. Consider the number that is the product of these, plus one: N = p1...pn+1. 3. By construction, N is not divisible by any of the pi. 4. Hence it is either prime itself, or divisible by another prime greater than pn, contradicting the assumption. q.e.d. Basically, he assumed the opposite and proved that the opposite wasn't possible.
Answered by unknown - Thu Apr 16 08:43:34 2009
How is Euclid the mathmatican important to life today?
Q. i'm doing a report for school and need any info anyone can give me on euclid.
Asked by Matt - Mon Dec 8 17:25:42 2008 - - 2 Answers - 0 Comments
A. Euclid (Greek: . Eukleid s), fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician and is often referred to as the Father of Geometry. He was active in Alexandria during the reign of Ptolemy I (323 BC 283 BC). His work Elements is the most successful textbook in the history of mathematics. In it, the principles of what is now called Euclidean geometry were deduced from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and rigor. Euclid brought us the basic definitions that are the foundation of much of modern mathematics: Definition 1. A point is that which has no part. Definition 2. A line is breadthless length. Definition 3. The ends of a line… [cont.]
Answered by Elfwreck - Tue Dec 16 13:43:34 2008
Q. i'm doing a report for school and need any info anyone can give me on euclid.
Asked by Matt - Mon Dec 8 17:25:42 2008 - - 2 Answers - 0 Comments
A. Euclid (Greek: . Eukleid s), fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician and is often referred to as the Father of Geometry. He was active in Alexandria during the reign of Ptolemy I (323 BC 283 BC). His work Elements is the most successful textbook in the history of mathematics. In it, the principles of what is now called Euclidean geometry were deduced from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and rigor. Euclid brought us the basic definitions that are the foundation of much of modern mathematics: Definition 1. A point is that which has no part. Definition 2. A line is breadthless length. Definition 3. The ends of a line… [cont.]
Answered by Elfwreck - Tue Dec 16 13:43:34 2008
Where can I take my recyclables in Euclid Ohio?
Q. The city has recently discontinued curbside pickup of recyclables. Does anyone know where I can take my items now? I live on the far east side of Euclid, just a couple of blocks from Lake County. Any ideas? Thanks in advance!
Asked by Kathryn Z - Sun Jun 28 14:38:21 2009 - - 2 Answers - 0 Comments
A. go to www.earth911.com to find local recycle centers.
Answered by whsgreenmom - Sun Jun 28 22:41:20 2009
Q. The city has recently discontinued curbside pickup of recyclables. Does anyone know where I can take my items now? I live on the far east side of Euclid, just a couple of blocks from Lake County. Any ideas? Thanks in advance!
Asked by Kathryn Z - Sun Jun 28 14:38:21 2009 - - 2 Answers - 0 Comments
A. go to www.earth911.com to find local recycle centers.
Answered by whsgreenmom - Sun Jun 28 22:41:20 2009
What is the name of the MOTHER OF EUCLID OF ALEXANDRIA?
Q. EUClID is also known as the father of geometry. plz give his mother's name as soon as possible. the person giving right answer for the first time will be chosen as the best answer.
Asked by nader_razak - Sat Sep 1 08:45:43 2007 - - 3 Answers - 0 Comments
A. There is no record of Euclid's parentage, not even firm agreement as to his date of birth. So the name of his mother is unknown.
Answered by senlin - Sat Sep 1 10:10:13 2007
Q. EUClID is also known as the father of geometry. plz give his mother's name as soon as possible. the person giving right answer for the first time will be chosen as the best answer.
Asked by nader_razak - Sat Sep 1 08:45:43 2007 - - 3 Answers - 0 Comments
A. There is no record of Euclid's parentage, not even firm agreement as to his date of birth. So the name of his mother is unknown.
Answered by senlin - Sat Sep 1 10:10:13 2007
I have 2 investment properties in Euclid, Ohio.How do I determine the basis and depreciation for tax purposes.
Q. I bought first property for $119,000 in September of 2005 and the second property for $127,000 in January of 2006. When I used tax filing software to do my taxes for 2005 and again for 2006,the software indicated that I had zero depreciation for both years.What am I doing wrong. It too late to do anything about last year taxes, but I have not filed my 2006 return as yet. I was told by people with investment propert that I could claim depreciation as soon as the houses became marketable.Is there a mistake that I made or is the mistake with the software?
Asked by moor questions - Tue Apr 10 01:22:42 2007 - - 2 Answers - 1 Comments
A. You must be doing something wrong with the software. Your basis is what you paid, plus the cost of any improvements. For depreciation purposes you must subtract the value of the land since land is never depreciated. You then divide the remaining basis by 27.5 to arrive at your annual depreciation amount. It's not too late to correct last year's return. File an amended return on Form 1040X to correct prior year returns.
Answered by Bostonian In MO - Tue Apr 10 01:42:57 2007
Q. I bought first property for $119,000 in September of 2005 and the second property for $127,000 in January of 2006. When I used tax filing software to do my taxes for 2005 and again for 2006,the software indicated that I had zero depreciation for both years.What am I doing wrong. It too late to do anything about last year taxes, but I have not filed my 2006 return as yet. I was told by people with investment propert that I could claim depreciation as soon as the houses became marketable.Is there a mistake that I made or is the mistake with the software?
Asked by moor questions - Tue Apr 10 01:22:42 2007 - - 2 Answers - 1 Comments
A. You must be doing something wrong with the software. Your basis is what you paid, plus the cost of any improvements. For depreciation purposes you must subtract the value of the land since land is never depreciated. You then divide the remaining basis by 27.5 to arrive at your annual depreciation amount. It's not too late to correct last year's return. File an amended return on Form 1040X to correct prior year returns.
Answered by Bostonian In MO - Tue Apr 10 01:42:57 2007
How do the five postulates created by Euclid influence the way geometry is taught today?
Q. How do the five postulates created by Euclid influence the way geometry is taught today?
Asked by gymnaststar118 - Wed Oct 24 19:10:41 2007 - - 1 Answers - 0 Comments
A. We use Euclidean geometry, but that is not the only type of geometry out there. Doing some research on non-Euclidean geometries is rather interesting. For example, in some non-Euclidean geometries, there is no so thing as parallel lines... We use Euclidean geometry because it's easy to understand, but it's not actually true when applied to the universe.
Answered by ken4christ4ever - Fri Oct 26 14:54:49 2007
Q. How do the five postulates created by Euclid influence the way geometry is taught today?
Asked by gymnaststar118 - Wed Oct 24 19:10:41 2007 - - 1 Answers - 0 Comments
A. We use Euclidean geometry, but that is not the only type of geometry out there. Doing some research on non-Euclidean geometries is rather interesting. For example, in some non-Euclidean geometries, there is no so thing as parallel lines... We use Euclidean geometry because it's easy to understand, but it's not actually true when applied to the universe.
Answered by ken4christ4ever - Fri Oct 26 14:54:49 2007
How do I find out where in Euclid, Ohio the official temperature is taken?
Q. How do I find out where in Euclid, Ohio the official temperature is taken?
Asked by Elizabeth E - Sat Mar 21 19:32:28 2009 - - 2 Answers - 0 Comments
A. You can go to this link which is the National Weather Service, type in your location and you can scroll down to current conditions and see where the weather is reported from. For your location it's Cuyahoga County Airport in Cleveland.
Answered by 5 - Sat Mar 21 20:16:24 2009
Q. How do I find out where in Euclid, Ohio the official temperature is taken?
Asked by Elizabeth E - Sat Mar 21 19:32:28 2009 - - 2 Answers - 0 Comments
A. You can go to this link which is the National Weather Service, type in your location and you can scroll down to current conditions and see where the weather is reported from. For your location it's Cuyahoga County Airport in Cleveland.
Answered by 5 - Sat Mar 21 20:16:24 2009
What did the Gettysburg address have to do with Euclid and Geometry?
Q. What did the Gettysburg address have to do with Euclid and Geometry?
Asked by Jacob D - Mon Nov 9 18:05:41 2009 - - 0 Answers - 0 Comments
Q. What did the Gettysburg address have to do with Euclid and Geometry?
Asked by Jacob D - Mon Nov 9 18:05:41 2009 - - 0 Answers - 0 Comments
How is Euclid's second common notion represented algebraically?
Q. Euclid's common notion #2: If equals are added to equals, then the wholes are equal.
Asked by setobalian - Mon Sep 11 08:53:19 2006 - - 3 Answers - 0 Comments
A. with line segments if you have two segments of equal length, and then next to them you place two more segments that are also equal, the resulting (big ) segments will be equal: --- --- = --- his idea was that of "adding" segments
Answered by locuaz - Mon Sep 11 10:35:59 2006
Q. Euclid's common notion #2: If equals are added to equals, then the wholes are equal.
Asked by setobalian - Mon Sep 11 08:53:19 2006 - - 3 Answers - 0 Comments
A. with line segments if you have two segments of equal length, and then next to them you place two more segments that are also equal, the resulting (big ) segments will be equal: --- --- = --- his idea was that of "adding" segments
Answered by locuaz - Mon Sep 11 10:35:59 2006
What are the three undefined terms Euclid used to write geometry?
Q. What are the three undefined terms Euclid used to write geometry?
Asked by Relk-D - Wed Aug 13 20:15:31 2008 - - 1 Answers - 0 Comments
A. Line, Point, and Plane
Answered by Math M - Sat Aug 16 11:01:03 2008
Q. What are the three undefined terms Euclid used to write geometry?
Asked by Relk-D - Wed Aug 13 20:15:31 2008 - - 1 Answers - 0 Comments
A. Line, Point, and Plane
Answered by Math M - Sat Aug 16 11:01:03 2008
what kinda of area is around euclid and pine ave?
Q. how good or bad is it gangy, do people get shot alot , what kinda of people live there? Chino california
Asked by thumper j - Thu Sep 20 13:09:43 2007 - - 1 Answers - 0 Comments
A. Could you mention the city, state, and country please... it might make it easier...
Answered by Don't Try This At Home - Thu Sep 20 13:17:36 2007
Q. how good or bad is it gangy, do people get shot alot , what kinda of people live there? Chino california
Asked by thumper j - Thu Sep 20 13:09:43 2007 - - 1 Answers - 0 Comments
A. Could you mention the city, state, and country please... it might make it easier...
Answered by Don't Try This At Home - Thu Sep 20 13:17:36 2007
Need help explainin how Euclid proved that there are an infinite number of prime numbers?
Q. I mean i know the mathmatical way but how could i put it in my own words and make it much simpler. thanks
Asked by need help - Thu Nov 8 18:48:03 2007 - - 1 Answers - 0 Comments
A. Suppose there were only finitely many primes. We'll exhibit an integer that is divisible by none of them, an obvious contradiction. In fact, take the product of all the primes. That's divisible by all the primes. Now add 1. That's divisible by none of the primes. So we're done. If you have to be more precise, than that, it you should name the product of all the primes N, and point out that any prime that divided both N and N+1 would also have to divide their difference, which is 1. And that's a contradiction.
Answered by Curt Monash - Thu Nov 8 22:08:59 2007
Q. I mean i know the mathmatical way but how could i put it in my own words and make it much simpler. thanks
Asked by need help - Thu Nov 8 18:48:03 2007 - - 1 Answers - 0 Comments
A. Suppose there were only finitely many primes. We'll exhibit an integer that is divisible by none of them, an obvious contradiction. In fact, take the product of all the primes. That's divisible by all the primes. Now add 1. That's divisible by none of the primes. So we're done. If you have to be more precise, than that, it you should name the product of all the primes N, and point out that any prime that divided both N and N+1 would also have to divide their difference, which is 1. And that's a contradiction.
Answered by Curt Monash - Thu Nov 8 22:08:59 2007
Who is the better mathematician, Euclid or Pythagoras?
Q. You can take any point you want.
Asked by Ludoviko Cosimo - Sat Oct 24 20:25:54 2009 - - 2 Answers - 0 Comments
A. Pythagoras is known for his Pythagorian Theorem. Euclid is known for his book - Element. It appears that Euclid is more of a mathematician.
Answered by YK - Sat Oct 24 20:35:57 2009
Q. You can take any point you want.
Asked by Ludoviko Cosimo - Sat Oct 24 20:25:54 2009 - - 2 Answers - 0 Comments
A. Pythagoras is known for his Pythagorian Theorem. Euclid is known for his book - Element. It appears that Euclid is more of a mathematician.
Answered by YK - Sat Oct 24 20:35:57 2009
What Downpayment Assistance Programs Are In South Euclid Ohio?
Q. What Downpayment Assistance Programs Are In South Euclid Ohio?
Asked by Blackbutterfly - Wed Apr 11 14:09:58 2007 - - 1 Answers - 0 Comments
A. Hey, I just moved from there, but anyways you can find this information at the Ginnie Mae site at
Answered by smarttrader101 - Wed Apr 11 15:23:02 2007
Q. What Downpayment Assistance Programs Are In South Euclid Ohio?
Asked by Blackbutterfly - Wed Apr 11 14:09:58 2007 - - 1 Answers - 0 Comments
A. Hey, I just moved from there, but anyways you can find this information at the Ginnie Mae site at
Answered by smarttrader101 - Wed Apr 11 15:23:02 2007
What school did Euclid teach at?
Q. I'm doing a Report on the mathematician Euclid. Please provide sources. I need one more source and I already have my source for Wikipedia.
Asked by Candie C - Sat Sep 19 16:13:09 2009 - - 1 Answers - 0 Comments
A. Look him up in Wikipedia and sources listed there or in any history of math book and READ about him. that's the whole point of doing a report.
Answered by Paul B - Sat Sep 19 16:20:26 2009
Q. I'm doing a Report on the mathematician Euclid. Please provide sources. I need one more source and I already have my source for Wikipedia.
Asked by Candie C - Sat Sep 19 16:13:09 2009 - - 1 Answers - 0 Comments
A. Look him up in Wikipedia and sources listed there or in any history of math book and READ about him. that's the whole point of doing a report.
Answered by Paul B - Sat Sep 19 16:20:26 2009
This is for people who know Euclid's elements ?
Q. I need to know where to find in Euclid's elements the exterior angle theorem and the verticle angle theorem. pease help!!! My whole geometry grade can be bumped up a level and i have a D.
Asked by blondie244 - Thu Oct 9 23:37:47 2008 - - 1 Answers - 0 Comments
A. (I.16) In any triangle, if one of the sides is produced, then the exterior angle is greater than either of the interior and opposite angles. (I.15) If two straight lines cut one another, then they make the vertical angles equal to one another. I is Book 1, the number is the proposition or theorem. I just googled both of these
Answered by o - Thu Oct 9 23:45:09 2008
Q. I need to know where to find in Euclid's elements the exterior angle theorem and the verticle angle theorem. pease help!!! My whole geometry grade can be bumped up a level and i have a D.
Asked by blondie244 - Thu Oct 9 23:37:47 2008 - - 1 Answers - 0 Comments
A. (I.16) In any triangle, if one of the sides is produced, then the exterior angle is greater than either of the interior and opposite angles. (I.15) If two straight lines cut one another, then they make the vertical angles equal to one another. I is Book 1, the number is the proposition or theorem. I just googled both of these
Answered by o - Thu Oct 9 23:45:09 2008
i live in euclid ohio, and i want to enter some shooting contests?
Q. im fifteen and a pretty good shot. can someone suggest a contest for me? and what are the regulations?
Asked by addblades - Mon Oct 26 22:29:07 2009 - - 4 Answers - 0 Comments
Q. im fifteen and a pretty good shot. can someone suggest a contest for me? and what are the regulations?
Asked by addblades - Mon Oct 26 22:29:07 2009 - - 4 Answers - 0 Comments
Who were the four men that tried to prove the fifth postulate of Euclid?
Q. Who were the four men that tried to prove the fifth postulate of Euclid?
Asked by mimi :) - Mon Jan 5 23:07:55 2009 - - 1 Answers - 0 Comments
A. I would think there were probably more than 4. Probably Gauss and Lobachevsky were two of them, since they are usually credited with the discovery of non-Euclidean geometry. I'll guess Bolyai was another, since his name comes up in this context. For my fourth guess I'll say: Sacchari, since I seem to remember that he tried hard to find a contradiction by assuming the fifth postulate was false and never succeeded, but did not come to the realization that the alternate postulates gave rise to new equally consistent geometries.
Answered by JB - Mon Jan 5 23:38:54 2009
Q. Who were the four men that tried to prove the fifth postulate of Euclid?
Asked by mimi :) - Mon Jan 5 23:07:55 2009 - - 1 Answers - 0 Comments
A. I would think there were probably more than 4. Probably Gauss and Lobachevsky were two of them, since they are usually credited with the discovery of non-Euclidean geometry. I'll guess Bolyai was another, since his name comes up in this context. For my fourth guess I'll say: Sacchari, since I seem to remember that he tried hard to find a contradiction by assuming the fifth postulate was false and never succeeded, but did not come to the realization that the alternate postulates gave rise to new equally consistent geometries.
Answered by JB - Mon Jan 5 23:38:54 2009
Give an outline of major milestones in maths from euclid to euler?
Q. Give an outline of major milestones in maths from euclid to euler?
Asked by Harsimran Jeet - Tue Jun 16 08:08:18 2009 - - 1 Answers - 0 Comments
A. Just use this timeline from 300 BC to 1734 AD and cut out what doesn't seem to be major.
Answered by loud_mouth_lime - Tue Jun 16 11:58:24 2009
Q. Give an outline of major milestones in maths from euclid to euler?
Asked by Harsimran Jeet - Tue Jun 16 08:08:18 2009 - - 1 Answers - 0 Comments
A. Just use this timeline from 300 BC to 1734 AD and cut out what doesn't seem to be major.
Answered by loud_mouth_lime - Tue Jun 16 11:58:24 2009
Does anyone know of any house rentals in South Euclid, Ohio?
Q. I live in South Euclid, Ohio and I'm looking for a 3-4 bedroom house with rent in between $900 -$1,000. If anyone knows any good websites, or has any information on this subject please let me know.Thanks!
Asked by Amanda - Mon Mar 5 16:50:20 2007 - - 1 Answers - 0 Comments
A. Yeah lots. Check this out
Answered by WO LEE - Mon Mar 5 16:55:29 2007
Q. I live in South Euclid, Ohio and I'm looking for a 3-4 bedroom house with rent in between $900 -$1,000. If anyone knows any good websites, or has any information on this subject please let me know.Thanks!
Asked by Amanda - Mon Mar 5 16:50:20 2007 - - 1 Answers - 0 Comments
A. Yeah lots. Check this out
Answered by WO LEE - Mon Mar 5 16:55:29 2007
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