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 25
... Q. E. D. PROP . XIX . THEOR . THE greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is ...
... Q. E. D. PROP . XIX . THEOR . THE greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is ...
Side 26
... Q. E. D. PROP . XX . THEOR . ANY two sides of a triangle are together greater than the third side . * Let ABC be a triangle ; any two sides of it together are greater than the third side , viz . the sides BA , AC greater than the side ...
... Q. E. D. PROP . XX . THEOR . ANY two sides of a triangle are together greater than the third side . * Let ABC be a triangle ; any two sides of it together are greater than the third side , viz . the sides BA , AC greater than the side ...
Side 27
... Q. E. D. PROP . XXII . PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third ( 20. 1 . ) * Let A , B , C be the three given straight ...
... Q. E. D. PROP . XXII . PROB . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third ( 20. 1 . ) * Let A , B , C be the three given straight ...
Side 29
... Q. E. D. PROP . XXV . THEOR . IF two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the angle also contain- ed by the sides of that which ...
... Q. E. D. PROP . XXV . THEOR . IF two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the angle also contain- ed by the sides of that which ...
Side 32
... Q. E. D. PROP . XXVIII . THEOR . Ir a straight line falling upon two other straight lines makes the exterior angle equal to the interior and oppo- site upon the same side of the line ; or makes the interior angles upon the same side ...
... Q. E. D. PROP . XXVIII . THEOR . Ir a straight line falling upon two other straight lines makes the exterior angle equal to the interior and oppo- site upon the same side of the line ; or makes the interior angles upon the same side ...
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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