Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical TrigonometryW.E. Dean, 1839 - 318 sider |
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Resultat 1-5 av 44
Side 24
... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the an- gle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles have two sides of the ...
... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the an- gle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles have two sides of the ...
Side 25
... remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other ...
... remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other ...
Side 30
... remaining an- gle ABE is equal ( 3. Ax . ) to the remaining angleABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrat- ed , that no other ...
... remaining an- gle ABE is equal ( 3. Ax . ) to the remaining angleABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrat- ed , that no other ...
Side 31
... remaining angle DEB . In the same manner it may be demonstrated that the angle CEB , AED are equal . There- fore ... remaining angles to the remaining angles each to each , to which the equal sides A E F D are opposite ; wherefore the ...
... remaining angle DEB . In the same manner it may be demonstrated that the angle CEB , AED are equal . There- fore ... remaining angles to the remaining angles each to each , to which the equal sides A E F D are opposite ; wherefore the ...
Side 39
... 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. E. D. PROP . XXIX . THEOR . If a straight line fall upon two parallel ...
... 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. E. D. PROP . XXIX . THEOR . If a straight line fall upon two parallel ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore