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 18
... base Therefore the angles at the bafe , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equi- angular . I PRO P. VI . THEOR . F two angles of a triangle be equal to one another , the fides alfo , which fubtend , or ...
... base Therefore the angles at the bafe , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equi- angular . I PRO P. VI . THEOR . F two angles of a triangle be equal to one another , the fides alfo , which fubtend , or ...
Side 19
... base , and on the fame fide of it , see N. there cannot be two triangles that have their fides . which are terminated in one extremity of the bafe equal to one another , and likewife those which are terminated in the other extremity ...
... base , and on the fame fide of it , see N. there cannot be two triangles that have their fides . which are terminated in one extremity of the bafe equal to one another , and likewife those which are terminated in the other extremity ...
Side 21
... base BC coin 7. 1 . cides with the bafe EF , the fides BA , AC cannot but coincide with the fides ED , DF ; wherefore likewife the angle BAC coincides with the angle EDF , and is equal to it . There- b . 8. Ax fore if two triangles ...
... base BC coin 7. 1 . cides with the bafe EF , the fides BA , AC cannot but coincide with the fides ED , DF ; wherefore likewife the angle BAC coincides with the angle EDF , and is equal to it . There- b . 8. Ax fore if two triangles ...
Side 30
... base FG , the angle DCE is equal b to the angle FAG . Therefore , at the given point A in the given ftraight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . IF PROP . XXIV . THEOR . F ...
... base FG , the angle DCE is equal b to the angle FAG . Therefore , at the given point A in the given ftraight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . IF PROP . XXIV . THEOR . F ...
Side 31
... base EF . Of the two fides DE , DF , let DE be the fide which is not greater than the other , and at the point D , in the straight line DE , make the angle EDG equal to the angle BAC ; and make a . 23. 1 . DG equal b to AC or DF , and ...
... base EF . Of the two fides DE , DF , let DE be the fide which is not greater than the other , and at the point D , in the straight line DE , make the angle EDG equal to the angle BAC ; and make a . 23. 1 . DG equal b to AC or DF , and ...
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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