 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
 | Webster Wells - Geometry - 1908 - 336 pages
...+ ad = ac + be, or a(c + d) = c(a + b). Then, £±& = ^±rf (§218). (2) ac PROP. VI. THEOREM 222. 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. Given the proportion - = -.... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...Then, aj-6 = c + d (§ 218> (2) ac In like manner, we may prove a =^-i — . PROP. VI. THEOREM 222. 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. Given the proportion - = -.... | |
 | Webster Wells - Algebra - 1908 - 262 pages
...is to the third term. Let the proportion be £ = c- • Then ^ = baac also, «±6 = £±<*. oa 146. In any proportion, the terms are in proportion by Division ; that is, the difference between the first two terms is to the first term as the difference between the last two terms is to... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...terms is to the third term. Let the proportion be - = - • Then ^±6 = C±4, о a aс s±8-s±i. 146. In any proportion, the terms are in proportion by Division ; that is, the difference between the first two terms is to the first term as the difference between the last two terms is to... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...If four quantities are in proportion, they are in proportion by division, ie the difference between the first two terms is to the second term as the difference between the last two terms is to the last term. SUGGESTION. - - 1 = - - 1. oa THEOREM VII 333. If four... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...THEOREM V 331. If four quantities are in proportion, they are in proportion by composition, ie tlie 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: £-1. od To Prove: a±b = c_±d, bd Proof: v... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...267. 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. or Given a : b = c : d. To prove that a + b:b = c... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...for the student. Ex. 627. y it , PROPOSITION VI. THEOREM 399. If four numbers are in proportion, they are in proportion by division; that is, the difference of the first two terms is to the first (or second) term as the difference of the last two terms is to the third (or fourth) term. Given... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...If* = ?, PROPOSITION VI. THEOREM 399. // four numbers are in proportion, they are in proportion Inj division; that is, the difference of the first two terms is to the first (or second) term as the difference of the last two terms is to the third (or fourth) term. Given... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...the given equation. EXAMPLE. Since - = — , then ?-±J? should equal 4 + 12. Does it? 6 12 0 12 222. In any proportion, the terms are in proportion by...difference of the first two terms is to the second, as the difference of the last two is to the fourth. If «=c, prove '1 , _ b d' bd SUGGESTION. Subtract... | |
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