 | Euclid, John Playfair - 1846 - 334 σελίδες
...permutation, or alternately ; this word is used when there are four proportionals, and it is inferred, that the first . has the same ratio to the third which...first is to the third as the second to the fourth : See Prop. 16. of this Book. 15. Invertendo, by inversion : When there are four proportionals, and... | |
 | Euclides - 1846 - 272 σελίδες
...Permutation, when it is inferred that if there be four magnitudes, of the same kind, proportional, the first is to the third as the second to the fourth ; as, is shown in Prop. 33, B. 5. Ex. gr. — A to B as C to Do, becomes A to C as B to Do. 15. By Inversion, when it is inferred... | |
 | Euclides - 1846 - 292 σελίδες
...or aMernando, by permutation or alternately ; when there are four proportionals, and it is inferred, that the first is to the third as the second to the fourth ; as is shewn in (S. 16) : xiv. Invertendo, by inversion ; when there are four proportionals, and it is inferred,... | |
 | Euclides - 1848 - 52 σελίδες
...permutation or alternately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...as the second to the fourth : as is shown in Prop. xvi. of this Fifth Book. XIV. Invertendo, by inversion; when there are four proportionals, and it is... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...permutation or alternately. This word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third which...third as the second to the fourth ; as is shown in the 16th Prop, of this 5th Book. 14. Invertendo, by inversion ; when there are four proportionals,... | |
 | Euclides - 1853 - 176 σελίδες
...permutation, or alternately. This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...is to the third as the second to the fourth : as is shewn in the 1 6th Prop, of this 5th Book. XIV. Invertendo, by inversion ; when there are four proportionals,... | |
 | William Frederick Greenfield - 1853 - 228 σελίδες
...a : b :: c : d, a X rf= b X c ; .-. from the Prop, b : a : : d : c. Cor. 2. Also, in the same case, the first is to the third as the second to the fourth. For if a : b :: c : d, a X </ = * X c ; and .•. from the Prop. a : c :: b : d. Cor. 3. Also the third... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...proportional if taken alternately, provided the four quantities arc all of the same kind ; that is, the first is to the third, as the second to the fourth : thus, if a : Ь : : e : d then a : e : : Ь : d if the quantities are alike in kind ; because from... | |
 | Euclides - 1855 - 270 σελίδες
...permutation or alternately. This phrase is used -when there are four proportionals, and it is inferred that the first has the same ratio to the third which...as the second to the fourth : as is shown in Prop XVI. of this Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it... | |
 | Euclides - 1855 - 230 σελίδες
...permutation, or alternately ; this word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third, which...third, as the second to the fourth : as is shown in the 16th proposition of this book. 15. Invertendo, by inversion ; when there are four proportionals,... | |
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This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop. 
