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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Resultat 1-5 av 51
Side 5
... adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse than is commonly supposed , and those not of i̇mall moment , especially in the Fifth and Eleventh Books of ...
... adding fome things , fuppreffing others , and mixing his own with Euclid's Demonftrations , had changed more things to the worse than is commonly supposed , and those not of i̇mall moment , especially in the Fifth and Eleventh Books of ...
Side 7
... added at the End of the fixth Book . Alfo the Note on the 29th Prop . Book ft , is altered , and made more explicit , and a more general Demon- ftration is given , instead of that which was in the Note on the 10th Definition of Book ...
... added at the End of the fixth Book . Alfo the Note on the 29th Prop . Book ft , is altered , and made more explicit , and a more general Demon- ftration is given , instead of that which was in the Note on the 10th Definition of Book ...
Side 13
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
Side 58
... fquare of AC , is es qual to the fquare of AD , that is , of AB and BC added toges ther in one ftraight line . Wherefore , if a ftraight line , & c . Q. E. D. d 4 PROP . Book H. PROP . IX . THEOR . Fa ftraight 58 THE ELEMENTS.
... fquare of AC , is es qual to the fquare of AD , that is , of AB and BC added toges ther in one ftraight line . Wherefore , if a ftraight line , & c . Q. E. D. d 4 PROP . Book H. PROP . IX . THEOR . Fa ftraight 58 THE ELEMENTS.
Side 112
... added BCD , the whole ABCD is equal to the whole EDCB : And the angle AED ftands on the circumference ABCD , and the angle BAE on the circumference EDCB ; therefore the angle BAE is equal f to the angle AED : For the fame reafon , each ...
... added BCD , the whole ABCD is equal to the whole EDCB : And the angle AED ftands on the circumference ABCD , and the angle BAE on the circumference EDCB ; therefore the angle BAE is equal f to the angle AED : For the fame reafon , each ...
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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