 In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.  The Elements of Geometry - Page 122by Webster Wells - 1894 - 378 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term. Given a : b = c : d. Analysis.* The proportion a + 6: b = c-{-d:d is true if d(a + b)... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term. Given a: b = c: d. Analysis.* The proportion. a + b: b = c + d:d is true if d (a + 6)... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...proportion by alternation. Ex. 21. Write the proportion - =-, by inversion, and then write 6 y 255. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first tico terms is to the second, as the sum of the last two terms is to the fourth. If , bdbd Proof. 1.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...proof is similar to the proof of 282.] PROPOSITION V. THEOREM 284. In any proportion the terms are also in proportion by composition (that is, the sum of the first two terms is to the first, or the second, as the sum of the last two terms is to the third, or the fourth). -,. , „. ^ fa +... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...398 ,.!=» §402 406. Theorem. If four numbers form a proportion, they are in proportion by addition; that is, the sum of the first two terms is to the second as the sum of the last two terms is to the fourth. _. ac Given -- = -. bd a+b c+d To prove —I-... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...proof is similar to the proof of 282.] PROPOSITION V. THEOREM 284. In any proportion the terms are also in proportion by composition (that is, the sum of the first two terras is to the first, or the second, as the sum of the last two terms is to the third, or the fourth).... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...proportions of Ex. 19 by inversion. Ex. 21. Write the proportion -=-, by inversion, and then write 6 y 255. In any proportion, the terms are in proportion by...that is, the sum of the first two terms is to the second, as the sum of the last two terms is to the fourth. If ac thpn a+b_c+d -_-,tlun ___.___. Proof.... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...21. Write the proportion - = Ex. 21. Write the proportion -=-, by inversion, and then write by 255. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first tiro terms is to the second, as the sum of the last two terms is to the fourth. If « = f, then £±*... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...is to the third term as the second is to the fourth. 274. If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term. 275. In any proportion the terms... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...fourth is to the third. 364. If four numbers are in proportion, they are in proportion by addition ; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term. 365. If four numbers are in proportion,... | |
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