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 CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 13
... halves of the fame , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to one another . IX . Book I. IX . The whole is greater than its OF EUCLID . 13.
... halves of the fame , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to one another . IX . Book I. IX . The whole is greater than its OF EUCLID . 13.
Side 14
... whole is greater than its part . X. Two ftraight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a ftraight line meets two ftraight lines , fo as to make the " two interior angles on the fame ...
... whole is greater than its part . X. Two ftraight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a ftraight line meets two ftraight lines , fo as to make the " two interior angles on the fame ...
Side 17
... whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
... whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
Side 18
... whole AF is equal to the whole AG , of which the D parts AB , AC , are equal ; the re- C B C G E mainder BF fhall be equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two fides BF , FC are equal to the two ...
... whole AF is equal to the whole AG , of which the D parts AB , AC , are equal ; the re- C B C G E mainder BF fhall be equal to the remainder CG ; and FC was proved to be equal to GB ; therefore the two fides BF , FC are equal to the two ...
Side 37
... whole exterior angle ACD is equal to the two interior and oppofite angles CAB , ABC ; to thefe equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal to two ...
... whole exterior angle ACD is equal to the two interior and oppofite angles CAB , ABC ; to thefe equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal to two ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore