 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.  Elementary Algebra - Page 226by Elmer Adelbert Lyman, Albertus Darnell - 1917 - 503 pagesFull view - About this book
 | Thomas Keith - Arithmetic - 1822 - 354 pages
...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 - Science - 1854 - 534 pages
...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 - Geometry, Modern - 1864 - 288 pages
...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 - Geometry - 1868 - 432 pages
...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 - Geometry - 1873 - 288 pages
...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 - 368 pages
...: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 - Algebra - 1885 - 382 pages
...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 - Algebra - 1885 - 370 pages
...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 - Geometry - 1886 - 392 pages
...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 - Algebra - 1889 - 584 pages
...= 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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