 | Euclid - 1835 - 540 σελίδες
...it more distinct: It would be better to put the following definition in place of it, viz. DEF. II. Two magnitudes are said to be reciprocally proportional to two others, when one of the Jirst is to one of the other magnitudes, as the remaining one of the last two is to the remaining one... | |
 | John Playfair - 1836 - 148 σελίδες
...fourth magnitude ; as is manifest. THE ELEMENT OF GEOMETRY SOOK V. DEFINITIONS. I. Two magnitudes may be said to be reciprocally proportional to two others, when one of the first is to one of the second, as the remaining one of the second is to the remaining one of the first. II. A straight line... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...have their several angles equal, each to each, and the sides about the equal angles proportionals. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pair is to one of the second, as the remaining one of the second is to the remaining one of the first.... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...have their several angles equal, each to each, and the sides about the equal angles proportionals. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pah- is to one of'the second, as the remaining one of the second is to the remaining one of the first.... | |
 | Euclides - 1855 - 230 σελίδες
...rectangle, the angles are equal, each to each, but the sides about the equal angles are not proportional. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pair is to one of the second, as the remaining one of the second is to the remaining one of the first.... | |
 | Eucleides - 1860 - 396 σελίδες
...rectangle, the angles are equal, each to each, but the sides about the equal angles are not proportional. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pair is to one of the second, as the remaining one of the second is to the remaining one of the first.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...have their several angles equal, each to each, and the sides about the equal angles proportionals. 2. Two magnitudes are said to be reciprocally proportional to two others, when one of the first pair is to one of the second, as the remaining one of the second is to the remaining one of the first... | |
 | Aristotle - 1879 - 196 σελίδες
...у ГА тгрос rijv АД OVTCÜS 17 EA тгро? TTJV AB. See also Simson's Def. 2 of Bk. vi. " Two magnitudes are said to be reciprocally proportional...the last two is to the remaining one of the first." Cf. Aristot. Mech. 3. p. 850. a. 39. S oZv то Ktvov/tevov ßapoi irpos то KIVOW, то //.^кос... | |
 | Euclid - 1908 - 456 σελίδες
...interpolated from Heron, who has it. Simson proposes in his note to substitute the following definition. "Two magnitudes are said to be reciprocally proportional...the last two is to the remaining one of the first." This definition requires that the magnitudes shall be all of the same kind. "\Kpov Kal fiitrov \6yov... | |
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II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first. 
