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" In any proportion the terms are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth. "
Solid Geometry - Page 254
by John H. Williams, Kenneth P. Williams - 1916 - 162 pages
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Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Theorem E. If four quantities are in proportion, they are m 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 last term. Given a/b = c/d, to prove that (a + b)/b = (c + d)/d....
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...Theorem E. 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 last term. Given a/b = c/d, to prove that (a + b)/b =(c + d)/d....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...THEOREM 283. If four quantities are in 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 +...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...prove that = . 407. Theorem. If four numbers form a proportion, they are in proportion by subtraction that is, the difference of the first two terms is to the second as the difference of the last two terms is to the fourth. „. a -c Given r=j. oa _ a—b c—d To...
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...By composition and the result by alternation. (d) By alternation and the result by composition. 256. In any proportion, the terms are in proportion by Division ; that is, the first term minus the second is to the second, as the third minus the fourth is to the fourth. If ,...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...By composition and the result by alternation. (d) By alternation and the result by composition. 256. In any proportion, the terms are in proportion by Division ; that is, the first term minus the second is to the second, as the third minus the fourth is to the fourth. If 2'then^l^i^l...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...Why? 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. Proof. If f =§, then 7 + 1=-. + 1. Why? bdba a +...
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Solid Geometry

William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...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, they are in...
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Elementary Algebra

Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...four numbers are in proportion, they are in proportion by division ; that is, the difference between the first two terms is to the second term as the difference between the last two terms is to the fourth. Or the difference between the first two terms is to the...
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First Course in Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1917 - 344 pages
...four numbers a, b, c, and d 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. Proof. Let T = ~,- (1) 0 I/ Adding 1 to each member,...
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