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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Side 16
... third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are oppofite . Let ABC , DEF be two triangles which have the two fides AB , AC ...
... third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are oppofite . Let ABC , DEF be two triangles which have the two fides AB , AC ...
Side 28
... third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D , and make AD equal to AC ; and join DC . Because DA is equal to AC , the angle ADC is ...
... third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D , and make AD equal to AC ; and join DC . Because DA is equal to AC , the angle ADC is ...
Side 29
... third " . Let A , B , C be the three given ftraight lines , of which any two whatever are greater than the third , viz . A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which ...
... third " . Let A , B , C be the three given ftraight lines , of which any two whatever are greater than the third , viz . A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which ...
Side 32
... third angle of the other . Let ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles DEF ... third angle BAC to the third angle EDF . For , if AB be not D equal to DE , one of B them must be the C E F greater ...
... third angle of the other . Let ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles DEF ... third angle BAC to the third angle EDF . For , if AB be not D equal to DE , one of B them must be the C E F greater ...
Side 33
... third angle BAC to the third angle EDF . Next , let the fides which are oppofite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to ...
... third angle BAC to the third angle EDF . Next , let the fides which are oppofite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC 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