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
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another . AB therefore is ...
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another . AB therefore is ...
Página 21
... meet on the side of EF , on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
... meet on the side of EF , on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
Página 182
... meet one another , but are not in the same plane with AB , BC : The planes through AB , BC , and DE , EF shall not meet , though pro- duced . E க From the point B draw BG perpendicular ( 10. 2. Sup . ) to the plane which passes through ...
... meet one another , but are not in the same plane with AB , BC : The planes through AB , BC , and DE , EF shall not meet , though pro- duced . E க From the point B draw BG perpendicular ( 10. 2. Sup . ) to the plane which passes through ...
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Términos y frases comunes
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