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 397
... given in species . Let the sides AB , BC about the acute angle ABC of the tri- angle ABC , which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in species . E A C F G Take a straight line DE given ...
... given in species . Let the sides AB , BC about the acute angle ABC of the tri- angle ABC , which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in species . E A C F G Take a straight line DE given ...
Side 398
... given , and if the sides about another angle have a given ratio to one another ; the triangle is given in species . Let the triangle ABC have one of its angles ABC a given but not a right angle , and let the sides BA , AC about another ...
... given , and if the sides about another angle have a given ratio to one another ; the triangle is given in species . Let the triangle ABC have one of its angles ABC a given but not a right angle , and let the sides BA , AC about another ...
Side 399
... given in species , wherefore the triangle ABC is also given in species . A Thirdly , let the given ratio be the ratio of a greater to a less , that is , let the side AB adjacent to the given angle be greater than AC ; and , as in the ...
... given in species , wherefore the triangle ABC is also given in species . A Thirdly , let the given ratio be the ratio of a greater to a less , that is , let the side AB adjacent to the given angle be greater than AC ; and , as in the ...
Side 400
... given in species ; there- E K fore also the triangles ABC , ABL are given in species . And from this it is BL C D H evident , that in this third case there are always two triangles of a different species , to which the things mentioned as ...
... given in species ; there- E K fore also the triangles ABC , ABL are given in species . And from this it is BL C D H evident , that in this third case there are always two triangles of a different species , to which the things mentioned as ...
Side 402
... given , and if the sides about another angle , both together , have a given ratio to the third side ; the triangle is given in species . Let the triangle ABC have one angle ABC given , and let the two sides BA , AC about another angle ...
... given , and if the sides about another angle , both together , have a given ratio to the third side ; the triangle is given in species . Let the triangle ABC have one angle ABC given , and let the two sides BA , AC about another angle ...
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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 |
Vanlige uttrykk og setninger
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