## 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 82

Side 29

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**fame reason**, the ex- terior angle CEB of the triangle ABE is greater than BAC ; and it has been demonftrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC . Therefore , if ... Side 40

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**fame**base and between the**fame**parallels , are equal to one another . Let ...**reafon**EF is equal to BC ; wherefore AD is equal b to EF ; and DE is common ...**fame**trapezium take the , triangle EAB ; the remain- ders therefore are equal f ... Side 41

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**fame**parallels , are equal to one another . Let ABCD , EFGH be parallelograms upon e qual bafes BC , FG , and ...**reafon**, the parallelogram EFGH is equal to the**fame**EBCH : Therefore alfo the parallelogram ABCD is equal to EFGH ... Side 45

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**fame reafon**, the triangle KGC is equal to the triangle KFC : Then , because the triangle AEK is equal to the triangle AHK , and the triangle KGC to KFC ; the triangle AEK , together with the triangle KGC is equal to the triangle AHK ... Side 49

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**fame reafon**, AB and AH are in ' the fame ftraight line ; and because the anglè DBC is e- qual to the angle FBA , each of them being a right angle , add to each the angle ABC , and the whole angle DBA is B D L E f 4. I. equal to 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