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
... angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or ... remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the ...
... angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or ... remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the ...
Página 13
... angles ; two AED , DEB . ing angle CEA is D therefore the two angles CEA , AED are equal to the Take away the common angle AED , and the remain- equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that ...
... angles ; two AED , DEB . ing angle CEA is D therefore the two angles CEA , AED are equal to the Take away the common angle AED , and the remain- equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that ...
Página 14
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the ... remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE ...
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the ... remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE ...
Página 20
... angle GHD , and also ( 8. 1. ) to the angle AGH , the angle AGH is equal to the angle GHD ; and they A are the ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD ...
... angle GHD , and also ( 8. 1. ) to the angle AGH , the angle AGH is equal to the angle GHD ; and they A are the ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD ...
Página 25
... angle ABC is equal to C B D the angle BCD ; therefore the base AC is equal ( 1. 1. ) to the base BD , and the ... remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral ...
... angle ABC is equal to C B D the angle BCD ; therefore the base AC is equal ( 1. 1. ) to the base BD , and the ... remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral ...
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