 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.  Elementary Algebra - Página 226por Elmer Adelbert Lyman, Albertus Darnell - 1917 - 503 páginasVista completa - Acerca de este libro
 | Webster Wells - 1885 - 368 páginas
...prove that : a : с = b : d, b : d = a : с, с : -d = a : b, etc. 297. 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. Let a : b = с :ß. Then, by Art. 293, ad = be. Whence, by Art.... | |
 | Webster Wells - 1885 - 370 páginas
...may prove that : a : с = b : d, b : d = a : c, c: d = a: b, etc. 297. In any proportion t)ie terms are in proportion by Alternation; that is, the first term is to the third, as the second term is to the fourth. Let a : b = с : d. Then, by Art. 293, ad= 6e. Whence, by Art.... | |
 | Webster Wells - 1885 - 324 páginas
...may prove that : a : c = b : d, b : d = a : c, с : d = a : b, etc. 297. 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. Let a : b = с : d. Then, by Art. 293, ad=bc. Whence, by Art.... | |
 | Webster Wells - 1886 - 392 páginas
...manner it may be proved that a : c = b : d, PROPOSITION III. THEOREM. 245. 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. Let a : 6 = c : d. Then by §242, ad = 6c. Whence by § 244, a... | |
 | Webster Wells - 1889 - 584 páginas
...may prove that : a : с = b : d, b : d = a : c, с : d = a : b, etc. 313. 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. Let a:b = c:d. Then by Art. 309, ad = be. Whence by Art. 312,... | |
 | Edward Albert Bowser - 1890 - 414 páginas
...' ., . . Id that is. — = - , ac . • . I : a = d : c. QED Proposition 4. 286. If four quantities are in proportion, they are in proportion by alternation; that is, the first term is to the third as the second term is to the fourth. Hyp. Let a : b = c : d. To prove a : c — b : d. Proof. Since... | |
 | Webster Wells - 1890 - 604 páginas
...d. In like manner we may prove that a : с = b : d, c:d = a:b, etc. 385. 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. Let a : b = с : d. Then by Art. 381, ad = be. Whence by Art.... | |
 | Webster Wells - 1897 - 384 páginas
...like manner, we may prove that a : с = b : d, с : d = a : b, etc. 310. 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. Let the proportion be a : b = с : d. Then, ad = bc. (§ 306)... | |
 | Webster Wells - 1897 - 434 páginas
...manner, we may prove that a : с — b : d, с : d = a : b, etc. 310. 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. Let the proportion be a : b = с : d. Then, ad = be. (§ 306)... | |
 | Henry W. Keigwin - 1897 - 254 páginas
...an interpretation in geometry. 222. THEOREMS IN PRO PORTION. I. If four magnitudes of the fame kind are in proportion, they are in proportion by Alternation; that is, the first is to the third as the second is to the fourth. Let A, B, C, D be four magnitudes of the same kind... | |
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