The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 39
... third angle of the one to the third angle of the other b , viz . the b 26. t . side AB to the side CD , and AC to BD , and the angle BAC equal to the angle BDC ; and because the angle ABC is equal to the angle BCD , and the angle CBD to ...
... third angle of the one to the third angle of the other b , viz . the b 26. t . side AB to the side CD , and AC to BD , and the angle BAC equal to the angle BDC ; and because the angle ABC is equal to the angle BCD , and the angle CBD to ...
Side 73
... third , BE , EF are greater than BF ; but AE a 20. L is equal to EB ; therefore AE , EF , that is , AF , is greater than -BF : again , because BE is equal to CE , and FE common to the triangles BEF , CEF , the two sides BE , EF are ...
... third , BE , EF are greater than BF ; but AE a 20. L is equal to EB ; therefore AE , EF , that is , AF , is greater than -BF : again , because BE is equal to CE , and FE common to the triangles BEF , CEF , the two sides BE , EF are ...
Side 110
... third angle . Take any straight line AB and divide it in the point C , so- that the rectangle AB , BC be equal to the square of CA ; and from the centre A , at the distance AB , describe the circle BDE , in which placeb the straight ...
... third angle . Take any straight line AB and divide it in the point C , so- that the rectangle AB , BC be equal to the square of CA ; and from the centre A , at the distance AB , describe the circle BDE , in which placeb the straight ...
Side 113
... third angle to the third angle : g 26. L. therefore the straight line KC is equal to CL , and the angle FKC to the angle FLC ; and because KC is equal to CL , KL is double of KC : in the same manner , it may be shown that HK is double ...
... third angle to the third angle : g 26. L. therefore the straight line KC is equal to CL , and the angle FKC to the angle FLC ; and because KC is equal to CL , KL is double of KC : in the same manner , it may be shown that HK is double ...
Side 116
... third part of two right angles : 4 in the same manner it may be demon- strated , that the angle DGC is also the third part of two right angles : and F because the straight line GC makes with EB the adjacent angles EGC , CG3 equal to two ...
... third part of two right angles : 4 in the same manner it may be demon- strated , that the angle DGC is also the third part of two right angles : and F because the straight line GC makes with EB the adjacent angles EGC , CG3 equal to two ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore