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 82
Side 261
... base is the triangle RVF , and the oppoîte triangle STY : And because the two prifms in the pyramid ABCG are equal to one another , and alfo the two prisms in the pyramid DEFH equal to one another , as the prifm of which the base is the ...
... base is the triangle RVF , and the oppoîte triangle STY : And because the two prifms in the pyramid ABCG are equal to one another , and alfo the two prisms in the pyramid DEFH equal to one another , as the prifm of which the base is the ...
Side 263
... base ABC be to the base DEF , as the pyramid ABCG to any folid which is greater than the py-- ramid DEFH . For if it be poffible , let it be fo to a greater , viz . the folid Z. And because the base ABC is to the base DEF as the pyramid ...
... base ABC be to the base DEF , as the pyramid ABCG to any folid which is greater than the py-- ramid DEFH . For if it be poffible , let it be fo to a greater , viz . the folid Z. And because the base ABC is to the base DEF as the pyramid ...
Side 283
... base ABCD to the base EFGH , so is the altitude MN to the al- titude KL ; that is , the bafes and altitudes of the equal cylinders AX , EO are reciprocally proportional . But let the bafes and altitudes of the cylinders AX , EO , be ...
... base ABCD to the base EFGH , so is the altitude MN to the al- titude KL ; that is , the bafes and altitudes of the equal cylinders AX , EO are reciprocally proportional . But let the bafes and altitudes of the cylinders AX , EO , be ...
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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