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
... triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive ... triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal ...
... triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive ... triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal ...
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 13
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together ... triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a ...
... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together ... triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a ...
Página 14
... ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the ...
... ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the ...
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