 | Thomas Keith - 1822 - 354 σελίδες
...16 shillings, Answer. Variation 1. The third term is to the fourth as the first is to the second. 2. The second term is to the first as the fourth is to the third. 3. The fourth term is to the third as tke second is to the first. Examples. (1.) If 2cwt.3qrs.14lb.... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...PKOPOSITION VH.-THEOREM. The terms of any proportion form also a proportion when they are taken INVERSEI/T ; that is, the second term is to the first as the fourth is to the third, or the second has the same ratio to the first that the fourth has to the third. Let the proportion... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...the fourth, the proportion is taken by alternation, as in the second case, Article 18. When we say the second term is to the first as the fourth is to the third, the proportion is taken inversely, as in the third case. 21. Proposition — Ratios which are equal... | |
 | Eli Todd Tappan - 1868 - 432 σελίδες
...the fourth, the proportion is taken by alternation, as in the second case, Article 18. When we say the second term is to the first as the fourth is to the third, the proportion is taken inversely, as in the third case. 21. Proposition. — Ratios which are equal... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...the fourth, the proportion is taken by alternation, as in the second case, Article 18. When we say the second term is to the first as the fourth is to the third, the proportion is taken inversely, as in the third case. 21. Proposition. — Ratios which are equal... | |
 | Webster Wells - 1885 - 370 σελίδες
...d. Then, by Art. 293, ad= 6e. Whence, by Art. 296, a : с = b : d. 298. In any proportion the terms are in proportion by Inversion; that is, the second term is to the first, as the fourth term is to the third. Let ч :l!:- r : d. Then, ad = be. Whence, b : a = d : c. 299. In any proportion... | |
 | Webster Wells - 1885 - 368 σελίδες
...:ß. Then, by Art. 293, ad = be. Whence, by Art. 296, a : с = b : d. 298. In any proportion the terms are in proportion by Inversion; that is, the second term is to the first, as the fourth term is to the third. Let a : b = с : d. Then, ad — be. Whence, b : a = d : c. 299. In any proportion... | |
 | Webster Wells - 1885 - 382 σελίδες
...Then, by Art. 293, ad— be. Whence, by Art. 296, a : с = b : d. 298. In any proportion the terms are in proportion by Inversion; that is, the second term is to the first, as the fourth term is to the third. Let a : b = с : d. Then, ad = be. Whence, b : a = d : c. 299. In any proportion... | |
 | Webster Wells - 1886 - 392 σελίδες
...ad = 6c. Whence by § 244, a : c = 6 : d. PROPOSITION IV. THEOREM. 246. In any proportion the terms are in proportion by INVERSION ; that is, the second term is to the first as the fourth term is to the third. Let a : 6 = c : d. Then by §242, ad = bc. Whence by § 244, b : a = d : c. PROPOSITION... | |
 | Webster Wells - 1889 - 584 σελίδες
...= c:d. Then by Art. 309, ad = be. Whence by Art. 312, a:r. = b:d. 314. In any proportion the terms are in proportion by Inversion ; that is, the second term is to the first, as the fourth term is to the third. Let a : & = с : d. Then, aa = bc. Whence, b : a = d : c. 315. In any proportion... | |
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If four quantities are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third. 
