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 11
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
Side 38
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal to one another . B D C F But , if the sides AD , EF , opposite to the base BC of the pa- rallelograms ABCD , EBCF , be not terminated in the same point ; then ...
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal to one another . B D C F But , if the sides AD , EF , opposite to the base BC of the pa- rallelograms ABCD , EBCF , be not terminated in the same point ; then ...
Side 41
... and between the same parallels ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon F A DE the same base BC , and between the BOOK I. 41 THE ELEMENTS OF EUCLID .
... and between the same parallels ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon F A DE the same base BC , and between the BOOK I. 41 THE ELEMENTS OF EUCLID .
Side 42
... double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) to the triangle EBC , be- cause they are upon the same base BC , and between the same parallels BC , AE . But the parallelogram ABCD is double ( 34. 1 ...
... double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) to the triangle EBC , be- cause they are upon the same base BC , and between the same parallels BC , AE . But the parallelogram ABCD is double ( 34. 1 ...
Side 47
... double ( 41. 1. ) of the triangle ABD , because they are upon the same base BD , and between the same parallels BD , AL ; and the square GB is double of the triangle FBC , because these also are upon the same base FB , and between the ...
... double ( 41. 1. ) of the triangle ABD , because they are upon the same base BD , and between the same parallels BD , AL ; and the square GB is double of the triangle FBC , because these also are upon the same base FB , and between the ...
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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