 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, Walter Wilson Hart - Algebra - 1912 - 504 pages
...given equation. EXAMPLE. Since - = — , then H-±5 should equal 4 + 12. Does it ? о \¿t U \¿> 312. 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. т,, ac, a — b с — d If - = - , prove = •... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...construct a tangent to a circle from a point outside. 399. If four numbers are in preportion, 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. 401.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...Why? 364. If four numbers are in proportion, they are in proportion by addition ; 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. Proof. If £ = -, then \ + \ = - + 1. Why ? Then Similarly,... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...Why? 364. If four numbers are in proportion, they are in proportion by addition ; 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. Proof. If ^ = v then ^ + 1=^ + 1. Why ? bdbd a + bc... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...manner it may be shown that or PROPOSITION V. THEOREM 268. If four quantities are in proportion, they are in proportion by division ; that is, the difference...is to the second term as the difference of the last tivo terms is to the fourth term. Given a : b = c : d. To prove that a — b: b = c — d: d. Proof.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...c -|- d : d, by § 257. QED PROPOSITION V. THEOREM 268. If four quantities are in proportion, they are in proportion by division; that is, the difference...two terms is to the second term as the difference <j jj of the last two terms is to the fourth term. Given a: b = c: d. To prove that a—b:b = c —... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 360 pages
...the given equation. EXAMPLE. Since - = — . then ? +° should equal + . Does it ? 6 12 в 12 194. In any proportion, the terms are in proportion by Division ; that is, the difference of the ßrst two terms is to the second, as the difference of the last two is to the fourth. «i-î-p»- *?-ЧгSUGGESTION.... | |
 | Webster Wells - 1913 - 366 pages
...should equal 4 + 12. Does it? 6 12' .6 12 194. In anу proportion, the terms are in proportion bу Division ; that is, the difference of the first two terms is to the second, as the difference of the last two is to the fourth. К £ = §, prove 'J , d' bd SUGGESTION. Subtract... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 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. Given a: b=c:d. To prove that a+b:b = c + d:d. Proof.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...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 fourth term. Given a: b = c: d. Analysis.* The proportion. a +... | |
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