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
... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB . to DFE . B A E D F For , if the triangle ABC be ...
... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB . to DFE . B A E D F For , if the triangle ABC be ...
Página 10
... DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are 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 ...
... DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are 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 ...
Página 11
... triangles are identical , or have also their three angles equal , each to each . Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the ...
... triangles are identical , or have also their three angles equal , each to each . Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the ...
Página 16
... triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the ... DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to DE ...
... triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the ... DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to DE ...
Página 17
... triangle EFG is greater than its angle EGF , and because the greater ( 12. 1. ) side is opposite to the greater an ... DEF be two triangles which have the two sides , AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
... triangle EFG is greater than its angle EGF , and because the greater ( 12. 1. ) side is opposite to the greater an ... DEF be two triangles which have the two sides , AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
Otras ediciones - Ver todas
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