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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 19
... interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another . Let the straight line EF , which falls upon ...
... interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another . Let the straight line EF , which falls upon ...
Página 21
... interior angles on the same side ; AGH , GHC , have the same name ; AGH , GHD , are called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively ...
... interior angles on the same side ; AGH , GHC , have the same name ; AGH , GHD , are called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively ...
Página 22
... interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior ...
... interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC 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 wherefore