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" 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. "
Solid Geometry - Page 254
by John H. Williams, Kenneth P. Williams - 1916 - 162 pages
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...— , arranged by composition and division, od becomes a + 0 = c + d PROPOSITION VII. THEOREM 431. If four quantities are in proportion, they are- in proportion by composition and division. Let J=5. bd To Prove = L. a — bc — d Proof. [Analyze and solve.] 432. EXERCISE. If...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...as the extremes, and a and d as the means, 6 : a = d : c. (Whyt) QE ». PROPOSITION VI. THEOREM 309. If four quantities are in proportion, they are in...by composition ; that is, the sum of the first two ^rms is to the second term as the sum of the last two terms is to the last term. Given the proportion...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...If four quantities are in proportion, they 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 term. Let a : b = c : d. To prove that a — b :b...
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School Science and Mathematics, Volume 9

Education - 1909 - 1160 pages
...they are In proportion 2. It four quantities are in proportion, they are in proportion by division. 3. If four quantities are in proportion, they are in proportion by composition and division. D. 1. If four quantities are in proportion, equi-multiples (integral or fractional) of...
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School Science and Mathematics, Volume 9

Education - 1909 - 1030 pages
...proportion by composition. 2. If four quantities lire in proportion, they are in proportion by division. 3. If four quantities are in proportion, they are in proportion by composition and division. D. 1. If four quantities are In proportion, equi-multiples (integral or fractional) of...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...proportion be a : b = b : c. Then by § 331, b1 = ac, and b = Vac. 337. 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. Let the proportion be a : b = с...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 550 pages
...proportion be a : b = b : c. Then by § 331, b" = ac, and b = Vac. 337. 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. Let the proportion be a : b = с...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...third). [The proof is similar to the proof of 292.] 294. THEOREM. 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 second, as the sum of the last two terms is to the third, or fourth). , „, ( a + b : a...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...d :c. 581 Verify § 334 and Ex. 580 in the proportion 7 : 2 = 14 : 4. PROPOSITION VIII. THEOREM 335 If four quantities are in proportion, they are in proportion by composition and division ; that is, the sum of the first two terms is to their difference as the sum of the last...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...d :c. 581 Verify § 334 and Ex. 580 in the proportion 7 : 2 = 14 : 4. PROPOSITION VIII. THEOREM 335 If four quantities are in proportion, they are in proportion by composition and division ; that is, the sum of the first two terms is to their difference as the sum of the last...
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