The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 1-5 av 73
Side 17
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to . each , and have ...
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to . each , and have ...
Side 18
... remaining angles of the one s are equal to the remaining an in97 % gles of the other , each to each , -to which the equal sides are op- sposite ; viz . the angle ACF to the angles ABG , and the angle AFC to the angle AGB and because the ...
... remaining angles of the one s are equal to the remaining an in97 % gles of the other , each to each , -to which the equal sides are op- sposite ; viz . the angle ACF to the angles ABG , and the angle AFC to the angle AGB and because the ...
Side 25
... remaining angle ABE is equal to the remaining angle b S. Ax ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like man- ner , it may be demonstrated , that no other ...
... remaining angle ABE is equal to the remaining angle b S. Ax ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like man- ner , it may be demonstrated , that no other ...
Side 26
... remaining angles to the re- maining angles , each to each , to which the equal sides are op- posite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle LCF ; therefore the angle ACD is ...
... remaining angles to the re- maining angles , each to each , to which the equal sides are op- posite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle LCF ; therefore the angle ACD is ...
Side 35
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line , & c . Q , ED . PROP . XXIX . THEOR . 11 d 13. 1 . notes on this IF a straight ...
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line , & c . Q , ED . PROP . XXIX . THEOR . 11 d 13. 1 . notes on this IF a straight ...
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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