 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 254by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...This method is illustrated in the analysis of Prop. V. PROPOSITION V. THEOREM 398. If four numbers are in proportion, they are in proportion by composition;...that is, the sum of the first two terms is to the first (or second) term as the sum. of the last two terms is to the third (or fourth) term. Given a... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...equation by oc. EXAMPLE. Since | = Д, then g should equal ^. Does it ? 311. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the second as the sum of the last two terms is to the fourth. If £ =4 prove *¥ = *¥• bdbd SUGGESTION. Add... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...equation by ac. EXAMPLE. Since J = Д, then | should equal *?. Does it ? 221. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the second as the sum of the last tico terms is to the fourth. If ? = £, prove a + b = c±d_ bdlbd SUGGESTION.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...If four numbers are -in proportion, they are in proportion by subtraction ; 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. rt /» ft ft \Tl. Why ? CL Proof. If - = -,... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...365. If four numbers are in proportion, they are in proportion by subtraction; 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. Proof. If f = 3, then 7 -1 = 3-1. Why? bdbd... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...by ас. EXAMPLE. Since | = Д, then $ should equal ^. Does it ? 193. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the second as the sum of the last two terms is to the fourth. If J = 5, prove «±6 = £±<?. о а о а SUGGESTION.... | |
 | Webster Wells - 1913 - 366 pages
...j = r^i, then J should equal J^. Does it ? 193. In any proportion, the terms are in proportion bу Composition ; that is, the sum of the first two terms is to the second as the sum of the last two terms is to the fourth. SUGGESTION. Add 1 to both members of the given equation.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...268. 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. Given a: b=c: d. To prove that a — b:b =... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...Theorem E. If four quantities are in proportion, they are in proportion by composition. Theorem G. If four quantities are in proportion, they are in proportion by composition and division. Theorem H. In a series of equal ratios the sum of the antecedents is to the sum of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...Transform the proposition, m:x=p:q, so that x becomes the fourth term. PROPOSITION VI. 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... | |
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