| John Playfair - Geometry - 1855 - 334 pages
...Book 5. 18. Convertendo by conversion ; when there are four proportionals, and it is inferred, that the first is to its excess above the second, as the third 19. Ex aequali (sc. distantia), or ex sequo, from equality of distance ; when there is any number of... | |
| Noble Heath - 1855 - 468 pages
...P — 1 ,• P • • x — y ,• x an<^ invertendo p : p — q : : x : x — y ; that is to say, the first is to its excess above the second, as the third is to its excess above the fourth. 413. If we put the proportion p : q. : : x : y in equation, thus... | |
| Noah Webster - English language - 1857 - 1310 pages
...one. — Conversion of proportion* in mathematics, IB when, of four proportionals, it id inferred that the first is to its excess above the second as the third is to its excess above the fourth. — Conversion of propositions, in logic, is a changing of the subject... | |
| Eucleides - 1860 - 396 pages
...book 5. 18. Convertendo, by conversion ; when there are four proportionals, and it is inferred, that the first is to its excess above the second, as the third to its excess above the fourth. Proposition E, book 5. 19. Ex ccqitali (sc. distantia), or ex cequo, from equality of distance ; when... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION E. THEOREM. If four magnitudes be proportional!, they are also proportionals by coif version ; that is, the first is to its excess above the second, as the third to if. excess abtve the fourth. Let AB be to BE, as CD to DF. Then BA shall be to AE, as DC to CF. AEB... | |
| Euclides - 1860 - 288 pages
...the second, as the excess of the third above the fourth, is to the fourth. 26. By conversion, when the first is to its excess above the second, as the third is to its excess above the fourth. 27. By mixing, when the sum of the first and second is to their... | |
| Euclides - 1861 - 464 pages
...= 10 X 6, an identity; .'. 15:15-10=6^6—4. ie 15 : 5 = 6 : 2. PROP. E. — THEOR. Convertendo. If four magnitudes be proportionals, they are also proportionals...second, as the third to its excess above the fourth. " If fonr magnitudes be proportional, the first being greater than the second, and the third than the... | |
| George Sturton Ward - Geometry, Algebraic - 1862 - 104 pages
...that a — с _ с b^~d~d; whence a — с : b — d : : с : d. PROPOSITION E. " CoNVERTENDO." If four magnitudes be proportionals, they are also proportionals...second, as the third to its excess above the fourth. a, b, c, d. Let a : b : : с : d. Then shall a : a — b : : с : с — d. Because a : b : : с :... | |
| Euclides - 1863 - 122 pages
...Book V. XVII. Canvertendo, by «onversion: when there are four proportionals, and il is inferred that the first is to its excess above the second, as the third to its excess above the fourth. XVIII. Ex txguali (sc. distuntid), or ex tcquo, from equality of distance: when there is any number... | |
| Euclides - 1864 - 448 pages
...Bookv. XVU. Convertendo, by conversion ; when there are four proportionals, and it is inferred, that the first is to its excess above the second, as the third to its excess above the fourth. Prop. E. Book v. XVIII. Ex sequali (so. distantia), or ex sequo, from equality of distance : when there... | |
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