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 30
Side 21
... bifect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal ... bifected by the flraight line AF . T Which was to be done . PROP . X. PRO B. ' O bisect a given finite ftraight line ...
... bifect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal ... bifected by the flraight line AF . T Which was to be done . PROP . X. PRO B. ' O bisect a given finite ftraight line ...
Side 26
... Bifect a AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because ... bifected , it may be demonstrated that the angle BCG , that is 4 , the angle ACD , is greater thari the angle ABC ...
... Bifect a AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because ... bifected , it may be demonstrated that the angle BCG , that is 4 , the angle ACD , is greater thari the angle ABC ...
Side 56
... bifected , is equal to the fquare of the straight line which is made up of the half and the part produced . Let the ftraight line AB be bifected in C , and produced to the point D ; the rectangle AD , DB , together with the square of CB ...
... bifected , is equal to the fquare of the straight line which is made up of the half and the part produced . Let the ftraight line AB be bifected in C , and produced to the point D ; the rectangle AD , DB , together with the square of CB ...
Side 60
... bifected , and of the fquare of the line made up of the half and the part pro- duced . Let the ftraight line AB be bifected in C , and produced to the point D ; the fquares of AD , DB are double of the fquares of AC , CD . a From the ...
... bifected , and of the fquare of the line made up of the half and the part pro- duced . Let the ftraight line AB be bifected in C , and produced to the point D ; the fquares of AD , DB are double of the fquares of AC , CD . a From the ...
Side 62
... bifect AC in E , and join BE ; produce CA to F , and make EF equal to EB ; and upon AF defcribe the fquare FGHA ; AB ... bifected in E , and produced to the point F , the rectangle CF , FA , to- gether with the fquare of AE , is equal to ...
... bifect AC in E , and join BE ; produce CA to F , and make EF equal to EB ; and upon AF defcribe the fquare FGHA ; AB ... bifected in E , and produced to the point F , the rectangle CF , FA , to- gether with the fquare of AE , is equal to ...
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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