 | Euclid, James Thomson - 1837 - 410 σελίδες
...Alternately : f this word is used when there are four proportionals of the same kind : 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. By inversion : when there are four proportionals, and it is... | |
 | Robert Simson - 1838 - 434 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.* XIV. Invertendo, by inversion ; when there are four proportionals,... | |
 | Euclides - 1838 - 264 σελίδες
...terms of a proportion are all of the same kind, they are proportional when taken ALTERNATELY, that is, the first is to the third as the second to the fourth. Let the proportion be A : B :: C : D; then also A : C :: B : D. For take mA, mB any equimultiples of... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 498 σελίδες
...inversion, when the second is to the first as the fourth to the third ; (328.) By alternation, when the first is to the third as the second to the fourth ; (329.) By composition, when the sum of the first and second is to the second, as the sum of the third... | |
 | Euclides - 1841 - 378 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 fifth Book. XIV. Invertendo, by inversion: when there are four proportionals,... | |
 | Oliver Byrne - 1841 - 140 σελίδες
...alternando, by permutation or alternately, is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which...; or that the first is to the third as the second is to the fourth : as is shown in the following proposition : — Let • : A : : О : Д, by " permuntando... | |
 | John Playfair - 1842 - 332 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 - 1845 - 544 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... | |
 | Euclid - 1845 - 218 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. XIV. Invertendo, by inversion; when there are four proportionals,... | |
 | Euclid, James Thomson - 1845 - 380 σελίδες
...Alternately:* this word is used when there are four proportionals of the same kind : 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. By inversion: when there are four proportionals, and it is inferred,... | |
| |
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. 
