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 |
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Resultat 1-3 av 42
Side 60
... double of the fquare of CD : But the fquare of AE is likewise double of the fquare of AC ; therefore the fquares of AE , EF are double of the squares of AC , CD : And the square of AF is equal i to the squares of AE , EF , because AEF ...
... double of the fquare of CD : But the fquare of AE is likewise double of the fquare of AC ; therefore the fquares of AE , EF are double of the squares of AC , CD : And the square of AF is equal i to the squares of AE , EF , because AEF ...
Side 61
... double of the fquare of EF : And EF is equal to CD ; wherefore the fquare of EG is double of the fquare of CD : But it was demon- ftrated , that the fquare of EA is double of the fquare of AC ; therefore the fquares of AE , EG are double ...
... double of the fquare of EF : And EF is equal to CD ; wherefore the fquare of EG is double of the fquare of CD : But it was demon- ftrated , that the fquare of EA is double of the fquare of AC ; therefore the fquares of AE , EG are double ...
Side 113
... double of the angle KFC , and BKC double of FKC : For the fame reafon , the angle CFD is double of the angle CFL , and CLD double of CLF : And be- cause the circumference BC is equal to the circumference CD , the angle BFC is equal to ...
... double of the angle KFC , and BKC double of FKC : For the fame reafon , the angle CFD is double of the angle CFL , and CLD double of CLF : And be- cause the circumference BC is equal to the circumference CD , the angle BFC is equal to ...
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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