## 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

Side 7

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**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 11th ; befides , the Tranflation is much ... Side 19

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**alfo**equal to the fide AC . For , if AB be not equal to AC , one of them is greater than a the other : Let AB be the greater , and from it cut off DB e- a 3. I. qual to AC , the lefs , and join DC ; there- fore , because in the ... Side 31

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**alfo**BC is greater than EF . Therefore , if two triangles , & c . Q. E. D. PROP . XXV . THEOR . IF two triangles have two fides of the one equal to two fides of the other , each to each , but the base of the one greater than the base of ... Side 34

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**alfo**equal to it , which is impoffible ; there . fore AB and CD being pro- duced do not meet towards B , D. In like manner it may be demonftrated that they do C not meet towards A , C ; but thofe ftraight lines which meet neither way ... Side 36

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**alfo**BGH , GHD are e- qual to two right angles . Wherefore , if a straight line , & c . Q. E. D. STR PROP . XXX . THEOR . TRAIGHT lines which are parallel to the fame ftraight line are parallel to one another . Let AB , CD be each of ...### 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