## 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 100

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**parallel**.. Let the ftraight line EF , which falls upon the two ftraight lines AB , CD , make the alternate angles AEF , EFD equal to one another ; AB is**parallel**to CD . For , if it be not**parallel**, AB and CD being produced shall meet ... Side 35

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**parallel**to CD . Wherefore , if a straight line , & c . Q. E. D. F I a PROP . XXIX . THEOR . notes on a ftraight line falls upon two**parallel**ftraight lines , it See the makes the alternate angles equal to one another ; and this propo ... Side 36

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**parallel**to the fame ftraight line are**parallel**to one another . Let AB , CD be each of them**parallel**to EF ; AB is alfo**parallel**to CD . Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the**parallel**ftraight lines AB ... Side 37

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**parallel**to the given Book I. ftraight line BC . Which was to be done . PROP . XXXII . THEOR . IF a fide of any ...**parallel**to the ftraight line AB ; and because AB is**parallel**to CE and AC meets them , the alternate angles BAC , ACE ... Side 38

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**parallel**ftraight lines , towards the fame parts , are also themselves equal and**parallel**. Let AB , CD be equal and pa A rallel ftraight lines , and joined towards the fame parts by the ftraight lines AC , BD ; AC , BD are alfo equal ...### Andre utgaver - Vis alle

The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |

### Vanlige uttrykk og setninger

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