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 61
Side 40
... reafon EF is equal to BC ; wherefore AD is equal b to EF ; and DE is common ; therefore the whole , or the remain- der , AE is equal to the whole , or the remainder DF ; AB al- fo is equal to DC ; and the two EA , AB are therefore equal ...
... reafon EF is equal to BC ; wherefore AD is equal b to EF ; and DE is common ; therefore the whole , or the remain- der , AE is equal to the whole , or the remainder DF ; AB al- fo is equal to DC ; and the two EA , AB are therefore equal ...
Side 41
... reafon , the parallelogram EFGH is equal to the fame EBCH : Therefore alfo the parallelogram ABCD is equal to EFGH . Wherefore parallelograms , & c . Q. E. D. TR PROP . XXXVII . THEOR . RIANGLES upon the fame base , and between the fame ...
... reafon , the parallelogram EFGH is equal to the fame EBCH : Therefore alfo the parallelogram ABCD is equal to EFGH . Wherefore parallelograms , & c . Q. E. D. TR PROP . XXXVII . THEOR . RIANGLES upon the fame base , and between the fame ...
Side 45
... 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 ...
... 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
... 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 whole ...
... 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 whole ...
Side 58
... reafon , PR is equal to RO ; and becaufe CB is equal to BD , and GK to KN , the rectangle CK is equal to BN , and GR to RN : But CK is equal to RN , because they are the complements of the parallelogram CO ; therefore alfo BN is equal ...
... reafon , PR is equal to RO ; and becaufe CB is equal to BD , and GK to KN , the rectangle CK is equal to BN , and GR to RN : But CK is equal to RN , because they are the complements of the parallelogram CO ; therefore alfo BN is equal ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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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