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 33
Side 241
... altitudes , viz . the base EH to the base NP , as the altitude of the folid CD to the altitude of the folid AB . Because the folid AB is equal to the folid CD , and that the folid BT is equal folid BA , for they are upon the fame base ...
... altitudes , viz . the base EH to the base NP , as the altitude of the folid CD to the altitude of the folid AB . Because the folid AB is equal to the folid CD , and that the folid BT is equal folid BA , for they are upon the fame base ...
Side 242
... altitude of the folid AB ; that is , the bases of the folid parallelepipeds AB , CD are reciprocally proportional to ... altitude of the folid CD to the altitude of the fo- lid AB ; the folid AB is equal to the folid CD : The fame ...
... altitude of the folid AB ; that is , the bases of the folid parallelepipeds AB , CD are reciprocally proportional to ... altitude of the folid CD to the altitude of the fo- lid AB ; the folid AB is equal to the folid CD : The fame ...
Side 283
... altitude MN to the altitude MP : But MP is equal to the altitude KL ; wherefore as the 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 ...
... altitude MN to the altitude MP : But MP is equal to the altitude KL ; wherefore as the 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 ...
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