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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
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Resultados 1-5 de 51
Página 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 small mo- ment , 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 small mo- ment , especially in the Fifth and Eleventh Books of ...
Página 7
... added at the End of the fixth Book . Alfo the Note on the 29th Prop . Book Ift , is altered , and made more explicit , and a more gene- ral Demonstration 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 Ift , is altered , and made more explicit , and a more gene- ral Demonstration is given , instead of that which was in the Note on the 10th Definition of Book ...
Página 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 ...
Página 58
... , together with the fquare of AC , is e- qual to the fquare of AD , that is , of AB and BC added toge- ther in one ftraight line . Wherefore , if a straight line , & c . Q. E. D. PROP . 1 PROP . IX . THEOR . [ Fa ftraight 58 THE ELEMENTS.
... , together with the fquare of AC , is e- qual to the fquare of AD , that is , of AB and BC added toge- ther in one ftraight line . Wherefore , if a straight line , & c . Q. E. D. PROP . 1 PROP . IX . THEOR . [ Fa ftraight 58 THE ELEMENTS.
Página 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 rea- fon ...
... 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 rea- fon ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore