 In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.  College Algebra - Página 270por Webster Wells - 1890 - 577 páginasVista completa - Acerca de este libro
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 páginas
...by bd, - = -, by Ax. 4. 6 d PROPOSITION II. THEOREM 265. If four quantities are in proportion, they are in proportion by alternation ; that is, the first...to the third as the second term is to the fourth. Given a : b = c:d. To prove that a:c = b:d. Proof. ad = be. § 261 Dividing loycd, - = -» Ax. 4 cd... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 páginas
...by bd, - = -, by Ax. 4. 6 d PROPOSITION II. THEOREM 265. If four quantities are in proportion, they are in proportion by alternation • that is, the...to the third as the second term is to the fourth. Given a : b = c:d. To prove that a : c = b : d. , Proof. ad = be. § 261 Dividing by erf, - = -> Ax.... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 491 páginas
...by 6d, - = -, by Ax. 4. OL C PROPOSITION II. THEOREM 265. If four quantities are in proportion, they are in proportion by alternation ; that is, the first...to the third as the second term is to the fourth. §261 Ax. 4 or aic = b:d y by § 257. QED Given To prove that Proof. Dividing by-cd, a : b = c: d.... | |
 | Webster Wells, Walter Wilson Hart - 1913 - 362 páginas
...three other proportions which, should be true according to the property given in this paragraph. 191. In any proportion, the terms are in proportion by...that is, the first term is to the third as the second is to the fourth. H. SUGGESTION. Use § 189 and then divide both members of the equation by cd. EXAMPLE.... | |
 | Webster Wells - 1913 - 366 páginas
...other proportions which should be true according to the property given in this paragraph. 191. In anу proportion, the terms are in proportion by Alternation...that is, the first term is to the third as the second ù to the fourth. SUGGESTION. Use § 189 and then divide both members of the equation by cd. EXAMPLE.... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 376 páginas
...third. Given a/b = c/d, to prove that b/a = d/c. Theorem D. If Jour quantities are in proportion, they are in proportion by alternation ; that is, the first term is to the third as the second is to the fourth. [The proof is left to the student. First use Theorem A.] Theorem E. If four quantities... | |
 | Walter Burton Ford, Earle Raymond Hedrick - 1913 - 272 páginas
...third. Given a/b = c/d, to prove that b/a = d/c. Theorem D. If four quantities are in proportion, they are in proportion by alternation ; that is, the first term is to the third as the second is to the fourth. [The proof is left to the student. First use Theorem A. ] Theorem E. If four quantities... | |
 | Webster Wells, Walter Wilson Hart - 1915 - 330 páginas
...by yn.) yn Ex. 18. Since 4 x 5 = 2 x 10, write four proportions which involve 4, 5, 2, and 10. 253. In any proportion, the terms are in proportion by...that is, the first term is to the third as the second is to Hie fourth. If ,. bdcd Proof. 1. Since - = -, then ad = be. § 250 bd 2. Since ad = be, then... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 336 páginas
...extremes, a and d the means, - = -. § 402 ac 405. Theorem. If four numbers form a proportion, they are in proportion by alternation; that is, the first term is to the third as the second is to the fourth. _. ac Given r = -. bd a, ab To prove - = -. cd Proof. ad = bc. §398 •••-A... | |
 | Webster Wells, Walter Wilson Hart - 1916 - 504 páginas
...(c)?=JL. yn my xm Ex. 18. Since 4 x 5 = 2 x 10, write four proportions which involve 4, 5, 2, and 10. 253. In any proportion, the terms are in proportion by...that is, the first term is to the third as the second is to the fourth. If ,. bdcd Proof. 1. Since - = -, then ad = be. § 250 bd 2. Since ad = be, then... | |
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