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 53
Side 79
... reafon , CD is A double of CG : And AB is equal to CD ; therefore , AF is equal to CG : And because AE is equal to EC , the F fquare of AE is equal to the square of EC : But the fquares of AF , FE are equal to the fquare of AE , because ...
... reafon , CD is A double of CG : And AB is equal to CD ; therefore , AF is equal to CG : And because AE is equal to EC , the F fquare of AE is equal to the square of EC : But the fquares of AF , FE are equal to the fquare of AE , because ...
Side 177
... reafon , the tri- angle ECD likewife is fi- milar to the E A M B L F d Therefore the triangle LHK : fimilar poly- gons ABCDE , D K H FGHKL are divided into the fame number of fimilar triangles . Alfo thefe triangles have , each to each ...
... reafon , the tri- angle ECD likewife is fi- milar to the E A M B L F d Therefore the triangle LHK : fimilar poly- gons ABCDE , D K H FGHKL are divided into the fame number of fimilar triangles . Alfo thefe triangles have , each to each ...
Side 316
... reafon why the one is preferable to the other . PROP . VI . B. V. There are two cafes of this propofition , of which only the firft and fimpleft is demonftrated in the Greek : And it is probable Theon thought it was fufficient to give ...
... reafon why the one is preferable to the other . PROP . VI . B. V. There are two cafes of this propofition , of which only the firft and fimpleft is demonftrated in the Greek : And it is probable Theon thought it was fufficient to give ...
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