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 TrigonometryCollins & Hannay, 1860 - 333 páginas |
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Página 39
... exterior angle AEF is greater ( 16. 1. ) than the interior and oppor site angle EFG ; but it is also equal to it , which is impossible : therefore , AB A E and CD being produced , do not meet towards B , C F D. In like manner it may be ...
... exterior angle AEF is greater ( 16. 1. ) than the interior and oppor site angle EFG ; but it is also equal to it , which is impossible : therefore , AB A E and CD being produced , do not meet towards B , C F D. In like manner it may be ...
Página 128
... angle BAC is cut into two equal angles by the straight line AD . Therefore , if the angle , & c . Q. E. D. PROP . A. THEOR . If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the ...
... angle BAC is cut into two equal angles by the straight line AD . Therefore , if the angle , & c . Q. E. D. PROP . A. THEOR . If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the ...
Página 308
... exterior angle DCE or DCA . Let it then be cara ried along the line CA , till it be in the position - AF , that is , in the direction of CA produc- ed , and the point A remaining fixed , let it turn about A till it describe the angle ...
... exterior angle DCE or DCA . Let it then be cara ried along the line CA , till it be in the position - AF , that is , in the direction of CA produc- ed , and the point A remaining fixed , let it turn about A till it describe the angle ...
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Términos y frases comunes
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 and similar 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 multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore