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 26
... shown that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle , & c . 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 ...
... shown that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle , & c . 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 ...
Side 27
... shown that BA , AC are greater than BE , EC ; much more then are BA , AC greater than BD , DC . B A E Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the ...
... shown that BA , AC are greater than BE , EC ; much more then are BA , AC greater than BD , DC . B A E Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the ...
Side 30
... shown that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , & c . Q. E. D. B C E F PROP . XXVI . THEOR . : Ir two triangles have two angles of one equal to two angles of the ...
... shown that it is not equal to it ; therefore the angle BAC is greater than the angle EDF . Wherefore , if two triangles , & c . Q. E. D. B C E F PROP . XXVI . THEOR . : Ir two triangles have two angles of one equal to two angles of the ...
Side 34
... shown that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel ( 27. 1. ) to CD . Where- fore straight lines , & c . Q. E. D. PROP . XXXI . PROB . To ...
... shown that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel ( 27. 1. ) to CD . Where- fore straight lines , & c . Q. E. D. PROP . XXXI . PROB . To ...
Side 35
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
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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