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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Resultat 1-5 av 55
Side 43
... passes , and BK , KD the other parallelograms which make up the E whole figure ABCD , which are therefore called the complements : the complement BK is equal to the complement KD . A G H D K F C Because ABCD is a parallelogram , B and ...
... passes , and BK , KD the other parallelograms which make up the E whole figure ABCD , which are therefore called the complements : the complement BK is equal to the complement KD . A G H D K F C Because ABCD is a parallelogram , B and ...
Side 68
... pass through the centre , it shall cut it at right angles , and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
... pass through the centre , it shall cut it at right angles , and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
Side 69
... pass through the centre ; AC , BD do not bisect one another . A D For , if it is possible , let AE be equal to EC , and BE to ED ; if one of the lines pass through the centre , it is plain that it cannot be bisected by the other which ...
... pass through the centre ; AC , BD do not bisect one another . A D For , if it is possible , let AE be equal to EC , and BE to ED ; if one of the lines pass through the centre , it is plain that it cannot be bisected by the other which ...
Side 71
... passes through the centre is always greater than one more remote ; and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
... passes through the centre is always greater than one more remote ; and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
Side 72
... passes through the centre , of those which fall upon the concave circumference , the greatest is that which passes through the centre , and , of the rest , that which is nearer to that through the centre is always greater than the more ...
... passes through the centre , of those which fall upon the concave circumference , the greatest is that which passes through the centre , and , of the rest , that which is nearer to that through the centre is always greater than the more ...
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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