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 TrigonometryCollins & Hannay, 1860 - 333 σελίδες |
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Σελίδα 200
... prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . Q. E. D. A E N. B. The insisting straight lines of a parallelopiped , mentioned in the following propositions , are ...
... prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . Q. E. D. A E N. B. The insisting straight lines of a parallelopiped , mentioned in the following propositions , are ...
Σελίδα 210
... prism ( def . 4. 3. Sup . ) . By the same construction , let the prisms PM , RO , TV be described . Also , let the straight line IP , which is in the plane of the triangle ABC be produced till it meet BC in h ; and let the line MQ , be ...
... prism ( def . 4. 3. Sup . ) . By the same construction , let the prisms PM , RO , TV be described . Also , let the straight line IP , which is in the plane of the triangle ABC be produced till it meet BC in h ; and let the line MQ , be ...
Σελίδα 211
... prism BL is less than the prism which has the triangle BCD for its base , and for its altitude the perpendicular from E upon the plane BCD ; and the prism which has BCD for its base , and the pendicular from E for its altitude , is by ...
... prism BL is less than the prism which has the triangle BCD for its base , and for its altitude the perpendicular from E upon the plane BCD ; and the prism which has BCD for its base , and the pendicular from E for its altitude , is by ...
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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 and similar 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 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 side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore