The Popular Educator Volume 4 download torrent
The Popular Educator Volume 4 download torrent
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Author: Anonymous
Number of Pages: 328 pages
Published Date: 13 Sep 2013
Publisher: Rarebooksclub.com
Publication Country: United States
Language: English
ISBN: 9781130734287
File Name: The.Popular.Educator.Volume.4.pdf
Download Link: The Popular Educator Volume 4
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 edition. Excerpt: ...fig. v, let B A o be a triangle, and let it be required to prove that the two sides B A and A o are greater than the third side B 0. Bisect the angle B A c by the straight line A D, meeting B o in D, by Prop. IX. Then, because the exterior angle B D A of the triangle BA c is greater than its interior and remote angle D A c, by Prop. XVI, and the exterior angle CDA of the triangle BDA is greater than its interior and remote angle D AB; and that the angles D A o and ID A B are equal; therefore, the angle B D A is also greater than the angle D A B, and the angle o D A than the angle D A 0; wherefore, by Prop. XIX., the side BA is greater than BD, and the side cA greater than on; therefore the two sides BA and A c are greater than the whole side B o. EXElCISE I. TO PROPOSITION XIX. Any side of a zfrttzngle is greater than the d fee'enoe between the other two sides. If the triangle be eq-u-ilateral, the truth of the proposition is evident; for the difference between any two sides is nothing. If the triangle be isosceles, the base or third of the triangle is greater than the difference between the other two sides, which are equal, for the same reason. In-any other case, let B A cl, fig. W, be a triangle, of which the side B c is greater than the side B A; then the remaining side A c is greater than the difference betwe:1 the other two sides, B o and B A. Prom B c, the greater side, cut ofl' BB, a part equal to the less side B A, by Prop. III. Because the two sides B A and A c are together greater than B c, by Prop. XX., and that BD is, by construction, equal to B A; therefore, taking these equals away, the remainder A 0 is greater than the remainder D 0. Therefore, any side of a triangle, &c. Q. E. D. EXERCISE II. TO...
Read online The Popular Educator Volume 4 Buy The Popular Educator Volume 4 Download and read The Popular Educator Volume 4 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook The Popular Educator Volume 4
The Popular Educator Volume 4 by Anonymous
Author: Anonymous
Number of Pages: 328 pages
Published Date: 13 Sep 2013
Publisher: Rarebooksclub.com
Publication Country: United States
Language: English
ISBN: 9781130734287
File Name: The.Popular.Educator.Volume.4.pdf
Download Link: The Popular Educator Volume 4
---------------------------------------------------------------
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 edition. Excerpt: ...fig. v, let B A o be a triangle, and let it be required to prove that the two sides B A and A o are greater than the third side B 0. Bisect the angle B A c by the straight line A D, meeting B o in D, by Prop. IX. Then, because the exterior angle B D A of the triangle BA c is greater than its interior and remote angle D A c, by Prop. XVI, and the exterior angle CDA of the triangle BDA is greater than its interior and remote angle D AB; and that the angles D A o and ID A B are equal; therefore, the angle B D A is also greater than the angle D A B, and the angle o D A than the angle D A 0; wherefore, by Prop. XIX., the side BA is greater than BD, and the side cA greater than on; therefore the two sides BA and A c are greater than the whole side B o. EXElCISE I. TO PROPOSITION XIX. Any side of a zfrttzngle is greater than the d fee'enoe between the other two sides. If the triangle be eq-u-ilateral, the truth of the proposition is evident; for the difference between any two sides is nothing. If the triangle be isosceles, the base or third of the triangle is greater than the difference between the other two sides, which are equal, for the same reason. In-any other case, let B A cl, fig. W, be a triangle, of which the side B c is greater than the side B A; then the remaining side A c is greater than the difference betwe:1 the other two sides, B o and B A. Prom B c, the greater side, cut ofl' BB, a part equal to the less side B A, by Prop. III. Because the two sides B A and A c are together greater than B c, by Prop. XX., and that BD is, by construction, equal to B A; therefore, taking these equals away, the remainder A 0 is greater than the remainder D 0. Therefore, any side of a triangle, &c. Q. E. D. EXERCISE II. TO...
Read online The Popular Educator Volume 4 Buy The Popular Educator Volume 4 Download and read The Popular Educator Volume 4 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook The Popular Educator Volume 4