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 13
Side 17
... opposite , shall be equal each to each , viz . the angle ABCB to the angle DEF , and the angle ACB to DFE . CE Book I. D F For , if the triangle ABC be applied to DEF , fo that the point A may be on D , and the ftraight line AB upon DE ...
... opposite , shall be equal each to each , viz . the angle ABCB to the angle DEF , and the angle ACB to DFE . CE Book I. D F For , if the triangle ABC be applied to DEF , fo that the point A may be on D , and the ftraight line AB upon DE ...
Side 24
... opposite fides of it , make the adjacent angles together equal to two right angles , these two straight lines fhall be in one and the fame ftraight line . At the point B in the straight line AB , let the two ftraight lines BC , BD upon ...
... opposite fides of it , make the adjacent angles together equal to two right angles , these two straight lines fhall be in one and the fame ftraight line . At the point B in the straight line AB , let the two ftraight lines BC , BD upon ...
Side 26
... opposite angles . 1 Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC . Bifect a AC in E , join BE and produce it to F , and make EF ...
... opposite angles . 1 Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC . Bifect a AC in E , join BE and produce it to F , and make EF ...
Side 39
... opposite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them in two equal parts . N. B. A parallelogram is a four fided figure , of which the oppofite fides are parallel ...
... opposite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them in two equal parts . N. B. A parallelogram is a four fided figure , of which the oppofite fides are parallel ...
Side 64
... opposite to the angle B , is lets than the fquares of CB , BA by twice the rectangle CB , BD . First , Let AD fall within the triangle ABC ; and because the ftraight line CB is divided in- to two parts in the point D , the fquares of CB ...
... opposite to the angle B , is lets than the fquares of CB , BA by twice the rectangle CB , BD . First , Let AD fall within the triangle ABC ; and because the ftraight line CB is divided in- to two parts in the point D , the fquares of CB ...
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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