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
... drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater angle . * Let the two straight lines BD , CD be drawn from B , C , the ends of the side ...
... drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater angle . * Let the two straight lines BD , CD be drawn from B , C , the ends of the side ...
Side 35
... drawn through the given point A parallel to the given straight line BC . Which was to be done . PROP . XXXII . THEOR ... draw CE parallel ( 31. 1. ) to the straight line AB ; and be- cause AB is parallel to CE and AC meets them , the al ...
... drawn through the given point A parallel to the given straight line BC . Which was to be done . PROP . XXXII . THEOR ... draw CE parallel ( 31. 1. ) to the straight line AB ; and be- cause AB is parallel to CE and AC meets them , the al ...
Side 50
... draw ( 11. 1. ) BF at right angles to BC , and make BG equal ( 3. 1. ) to A ; and through G draw ( 31. 1. ) GH parallel to BC ; and through D , E , C draw ( 31. 1. ) DK , EL , CH parallel to F BG : then the rectangle BH is equal to the ...
... draw ( 11. 1. ) BF at right angles to BC , and make BG equal ( 3. 1. ) to A ; and through G draw ( 31. 1. ) GH parallel to BC ; and through D , E , C draw ( 31. 1. ) DK , EL , CH parallel to F BG : then the rectangle BH is equal to the ...
Side 61
... drawn from any of the acute angles to the opposite side pro- duced , the square of the side subtending the obtuse an- gle is greater than the squares of the sides containing the obtuse angle , by twice the rectangle contained by the ...
... drawn from any of the acute angles to the opposite side pro- duced , the square of the side subtending the obtuse an- gle is greater than the squares of the sides containing the obtuse angle , by twice the rectangle contained by the ...
Side 66
... drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon . the circumference intercepted between the straight ...
... drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon . the circumference intercepted between the straight ...
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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