 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...the proportion be a:b::c:d. Then ? = « bd Dividing unity by both members of the equation, b—d 97. If four quantities are in proportion, they are in proportion by composition. Let the proportion be a:b::c:d. Then ? = £. bd Adding unity to both members of the equation, or a... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...ad. § 327 Divide each member of the equation by ac. Then - = -• ac PROPOSITION VI. THEOREM. 332. If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms ,s to the second term as the sum of the last two terms is to... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...—, arranged by composition and division, 0 Ci becomes a + b _c + d PROPOSITION VII. THEOREM 431. If four quantities are in proportion, they are in proportion by composition and division. H. a — bc — d Proof. [Analyze and solve.] 432. EXERCISE. If 2 = -, bd prove ^l« = <lzi&.... | |
 | Arthur Schultze - 1901 - 260 pages
...x and y. Ex. 524. If x — y : y = 2 : 3, find the ratio of x and y. PROPOSITION VIII. THEOREM 272. If four quantities are in proportion, they are in proportion by composition and division, ie the sum of the first two terms is to their difference as the sum of the last two terms... | |
 | Arthur Schultze - 1901 - 260 pages
...Transform the proposition, m : x = p : q, so that x becomes the fourth term. PROPOSITION VI. THEOREM 270. 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...Transform the proposition, m : x = p : q, so that x becomes the fourth term. PROPOSITION VI. THEOREM 270. 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Transform the proposition, m : x = p : q, so that x becomes the fourth term. PROPOSITION VI. THEOREM 270. 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Transform the proposition, m : x = p : q, so that x becomes the fourth term. PROPOSITION VI. THEOREM 270. If four quantities are in proportion, they are in proportion by composition, ie the sum ofthefirst two terms is to the second term as the sum of the last two terms is to the fourth... | |
 | Minnesota - 1903 - 1096 pages
...Exercise — Each exterior angle of an equilateral triangle equals how many times each interior angle? 7. Prove that if four quantities are in proportion they are in proportion by division. 8. Show how to find a mean proportional between two given lines. 9. The angle formed outside... | |
 | 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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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. 
