## 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 28

Side 49

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**described**upon the itraight line BC , and the iquares GB , HC upon BA , AC : Wherefore the fquare upon the fide BC is equal to the fquares upon the fides BA , AC . Therefore , in any right angled triangle , & c . Q. E. D. PRO P. XLVIII ... Side 50

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**described**upon BC , one of the fides of the tri- angle ABC , be equal to the fquares upon the other fides BA , AC ; the angle BAC is a right angle . D From the point A draw AD at right angles to AC , and make AD equal to BA , and join ... Side 89

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**described**of which it is a fegment . Which was to be done . d 9.3 . PROP . XXVI . THEOR . N equal circles , equal angles ftand upon equal circum- ferences , whether they be at the centres or circumfe- rences . Let ABC , DEF be equal ... Side 96

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**described**which contains an angle e- qual to the given angle at C. Which was to be done . T PROP . XXXIV . PROB . O cut off a fegment from a given circle which shall contain an angle equal to a given rectilineal angle . Let ABC be the ... Side 106

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**described**from the centre D , at the distance of any of them , fhall pass through the extremities of the other two , and touch the straight lines AB , BC , CA , because the angles at the points E , F , G are right angles , and the ...### 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