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 96
Página 13
... produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a fraight line may be drawn from any one point to , any other point . II . That a terminated straight line may be produced to any length in a ftraight ...
... produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a fraight line may be drawn from any one point to , any other point . II . That a terminated straight line may be produced to any length in a ftraight ...
Página 14
... produced , fhall at length meet upon that fide on which are the angles which are lefs than two right angles . See the notes on Prop . 29. of Book I. " PROPO T PROPOSITION I. PROBLEM . O defcribe an equilateral triangle 24 THE ELEMENTS ...
... produced , fhall at length meet upon that fide on which are the angles which are lefs than two right angles . See the notes on Prop . 29. of Book I. " PROPO T PROPOSITION I. PROBLEM . O defcribe an equilateral triangle 24 THE ELEMENTS ...
Página 15
... produce the ftraight lines DA , DB , to E and F ; from the centre B , at the diftance BC , defcribe d the circle CGH , and from the centre D , at the diftance DG , defcribe the circle GKL . AL hall be equal to BC . D a . I. Poft . b ...
... produce the ftraight lines DA , DB , to E and F ; from the centre B , at the diftance BC , defcribe d the circle CGH , and from the centre D , at the diftance DG , defcribe the circle GKL . AL hall be equal to BC . D a . I. Poft . b ...
Página 17
... one another ; and , if the equal fides be produced , the angles upon the other fide of the base thall be equal . Let ABC be an Ifofceles triangle , of which the fide AB is e- B qual Book I , qual to AC , and let the OF EUCLID . 17.
... one another ; and , if the equal fides be produced , the angles upon the other fide of the base thall be equal . Let ABC be an Ifofceles triangle , of which the fide AB is e- B qual Book I , qual to AC , and let the OF EUCLID . 17.
Página 18
... produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1. AG equal a to AF , the lefs , and join FC , GB . Because AF is ...
... produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1. AG equal a to AF , the lefs , and join FC , GB . Because AF is ...
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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