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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 páginas |
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Página 23
... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal , posite ...
... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal , posite ...
Página 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
Página 25
... triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal ...
... triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal ...
Página 27
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
Página 28
... triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. C Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to ...
... triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. C Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to ...
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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 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 parallelepipeds 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 shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore