 | Robert Simson - Trigonometry - 1762 - 488 pages
...manifeft when underftcod of magnitudes, unto ratios, viz. that a magnitude cannot bs both grer.ter and lefs than another. That thofe things which are equal to the fatfle are equal to one another, is a moft evident Axiom when undcritood of magnitudes, yet Euclid... | |
 | Euclid - 1781 - 552 pages
...which Eudoxus or Euclid had given, has been deceived in applying what is manifeft, when under flood of magnitudes, unto ratios, viz. that a magnitude...That thofe things which are equal to the fame are eqnal to one another, ie a moft evident axiom when underftood of magnitudes ; yet Euclid does not make... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...inftead of that which Eudoxus or Euclid had given, has been deceived in applying what was manifeft when underftood of magnitudes, unto ratios, viz. that...another. That thofe things which are equal to the time are equal to one another, is a moft evident Axiom when underftood of magnitudes, yet Euclid does... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...which Eudoxus or Euclid had given, has been deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. That those things which are equal to the same are equal to one another, is a most... | |
 | Euclides - 1816 - 588 pages
...which Eudoxus or Euclid had given, has been , deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. That those things which are equal to the same are equal to one another, is a most.evident... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...which Eudoxus or Euclid had given, has been deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. That those things which are equal to the same are equal to'one another, is a most... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...the work of some one who apparently "has been deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another." The proof substituted by Simson is satisfactory and simple. " Let A have to C a... | |
 | Euclid - 452 pages
...the work of some one who apparently "has been deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another." The proof substituted by Simson is satisfactory and simple. " Let A have to C a... | |
| |
Oth proposition as we now have it, instead of that which Eudoxus or Euclid had given, has been deceived in applying what is manifest, when understood of magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. 