The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected; and Some of Euclid's Demonstrations Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
Inni boken
Resultat 1-3 av 72
Side 61
... fquare of GF is equal to the fquare of FE ; and therefore the fquares of GF , FE are dou- ble of the fquare of EF : But the fquare of EG is equal i to the fquares of GF , FE ; therefore the fquare of EG is double of the fquare of EF ...
... fquare of GF is equal to the fquare of FE ; and therefore the fquares of GF , FE are dou- ble of the fquare of EF : But the fquare of EG is equal i to the fquares of GF , FE ; therefore the fquare of EG is double of the fquare of EF ...
Side 99
... fquare of DB . a 18. 3 . C b 6.2 . Either DCA paffes through the centre , or it does not ; firft , let it pa's ... fquare of EC , is equal to the fquare of ED , and CE is equal to EB : Therefore the rectangle AD , DC , B together with ...
... fquare of DB . a 18. 3 . C b 6.2 . Either DCA paffes through the centre , or it does not ; firft , let it pa's ... fquare of EC , is equal to the fquare of ED , and CE is equal to EB : Therefore the rectangle AD , DC , B together with ...
Side 473
... fquare of FE is to the fquare of GL , as the fquare of BA , which is equal to the rectangle BC , CD , is to the fquare of BD : The ratio of which spaces is the next thing faid to be given : And from this it follows that four times the ...
... fquare of FE is to the fquare of GL , as the fquare of BA , which is equal to the rectangle BC , CD , is to the fquare of BD : The ratio of which spaces is the next thing faid to be given : And from this it follows that four times the ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore