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 are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 15
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which was to be demonstrated ...
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which was to be demonstrated ...
Side 18
... contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC , equal to the two sides DE , DF , each to each ...
... contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC , equal to the two sides DE , DF , each to each ...
Side 28
... contained by the two sides of one of them greater than the angle contained by the two sides equal to them , of the other ; the base of that which has the greater angle shall be greater than the base of the other . * Let ABC , DEF be two ...
... contained by the two sides of one of them greater than the angle contained by the two sides equal to them , of the other ; the base of that which has the greater angle shall be greater than the base of the other . * Let ABC , DEF be two ...
Side 29
... contain- ed by the sides of that which has the greater base , shall be greater than the angle contained by the sides equal to them , of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides ...
... contain- ed by the sides of that which has the greater base , shall be greater than the angle contained by the sides equal to them , of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides ...
Side 48
... contained by these two sides is a right angle . If the square described upon BC , one of the sides of the tri- angle ABC , be equal to the squares upon the other sides BA , AC , the angle BAC is a right angle . A D From the point A draw ...
... contained by these two sides is a right angle . If the square described upon BC , one of the sides of the tri- angle ABC , be equal to the squares upon the other sides BA , AC , the angle BAC is a right angle . A D From the point A draw ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore