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, 1836 - 311 páginas |
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Página 9
... equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall ...
... equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall ...
Página 10
... equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
... equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
Página 11
... equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the ... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ...
... equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the ... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ...
Página 12
... equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC ...
... equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC ...
Página 13
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles : therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC ...
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles : therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore