 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 254by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...I 6 it Adding 1 to each member, a + bc + d -£- = ^JThat is, a + b : b = c + d : d THEOREM VI. 134. In any proportion the terms are in proportion by Division...is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term. Let <>-,!, _ .: c : d Thflti8'... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...b : a = c-\-d: c. Q. i. D. PROPOSITION VII. THEOREM 310. If four quantities are in proportion, they are in proportion by division ; that is, the difference of the first two is to the second as the difference of the last two is to the last. Given the proportion a : b = c :... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...term is to the third as the second is to the fourth. 310. // four quantities are in proportion, they are in proportion by division ; that is, the difference of the first two is to the second as the difference of the last two is to the last. 312. In a series of equal ratios,... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...+ bia — c -\~ di c. QEB PROPOSITION VII. THEOREM 310, If four quantities are in proportion, they are in proportion by division ; that is, the difference of the first two is to the second as the difference of the last two is to the last. Given the proportion a : 6 = c :... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...332. 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. Let a : b = c : d. To prove that a + b :b = c + d:d.... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...309. 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 the proportion a : b = c : d. To prove a + 6 :... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...+ d) = c(a + b). Then by §333, a + b : a = c + d :.c. We may also prove a + b :b = с + d:d. 338. In any proportion, the terms are in proportion by...is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Let the proportion be a:b... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...a(c + d) = c(a + b). Then by § 333, a + b: a = c + d: c. We may also prove a + b :b = c + d:d. 338. In any proportion, the terms are in proportion by...is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Let the proportion be a:b... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...333 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. HYPOTHESIS. a:b = c:d. CONCLUSION. a + b:b = c + d:d.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...333 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. HYPOTHESIS. a : 6 = c : d. CONCLUSION. a + b:b = c... | |
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