 | Robert Simson - Trigonometry - 1806 - 546 pages
...5th book. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third. Prop. B, book 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...this book. XV. Invertendo, by inversion : when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third. Prop. A. book 5. XVI. Componendo, by composition : when there are four proportionals, and it is inferred,... | |
 | John Mason Good - 1813 - 714 pages
...Book V. 14. Invertendo, by inversion: when there are four proportionals, and it is inferred, tliat the se-cond is to the first, as the fourth to the third. Prop. B. Book V. 15. Componendo, by composition, »hen there are four proportional», and it is inferred,... | |
 | Euclides - 1816 - 588 pages
...5th book. XIV. Invertendo by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book 5. XV. Componendo, by composition; when there are four proportionals, and it is ini'erred,... | |
 | John Playfair - 1819 - 354 pages
...this Book. XV. Invertendo, by inversion : When there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. A. Book 5. XVI. C.omponendo, by composition : When there are four proportionals, and it is inferred,... | |
 | Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...by transposing or interchanging its extreme and mean terms.— On this principle are founded the twp following theorems. PROP. VII. THEOR. The terms of...consequently the same equality of products AD and BC (V. 2.) still obtains. PROP. VIII. THEOR. Numbers are proportional by alternation, or the first is... | |
 | Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...following theorems. i > PROP. VII. THEOR. I f ! The terms of an analogy are proportional by inversiont or the second is to the first, as the fourth to the third,,. .. , ..i .,; .. ,,.', i , „ ..... .1. i Let A : B : : C : D ; then inversely B 1 A ': It) : (X For... | |
 | Euclides - 1821 - 294 pages
...the 5th Book. 15. By invertendo ; when it is concluded that if there be four magnitudes proportional, the second is to the first as the fourth to the third. Note. Here the antecedent is made consequent, and the consequent antecedent. If A : B : : C : D then... | |
 | Euclid - 1822 - 222 pages
...proved in Prop. 33. B. 5. 15. By inversion, when we inter that if there be four magnitudes proportional, the second is to the first as the fourth to the third. Prop. 20. 16. By composition, when we infer that if there be four magnitudes proportional, the sum... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...16 prop, of t.his book. 17- Inverting; when it is inferred, if four magnitudes be proportional, that the second is to the first, as the fourth to the third ; as is shewn in Thcor. 3 at 15th of this book18. Compounding; when it is inferred, if four magnitudes... | |
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Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth. 
