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 σελίδες |
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Σελίδα 195
... solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others are parallelograms . V. A parallelepiped is a solid figure contained by six quadrilateral ...
... solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others are parallelograms . V. A parallelepiped is a solid figure contained by six quadrilateral ...
Σελίδα 200
... 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 parallelepiped ... Solid parallelepipeds upon the same base , and of the same altitude , the in sisting straight lines of which ...
... 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 parallelepiped ... Solid parallelepipeds upon the same base , and of the same altitude , the in sisting straight lines of which ...
Σελίδα 201
... solid , of which the base is the parallelogram AB , and FDKN the plane opposite to the base ; and if from this same solid there be taken the prism AGD , the remain- ing solid , viz . the parallelepiped ... solid parallelepipeds , & c ...
... solid , of which the base is the parallelogram AB , and FDKN the plane opposite to the base ; and if from this same solid there be taken the prism AGD , the remain- ing solid , viz . the parallelepiped ... solid parallelepipeds , & c ...
Σελίδα 202
... solid CP is a parallelepiped . Now the solid parallelepiped CM is equal ( 5. 2. Sup . ) to the solid parallelepiped CP ; because they are upon the same base , and their insisting straight lines AF , AO , CD , CR ; LM . LP , BH , BQ are ...
... solid CP is a parallelepiped . Now the solid parallelepiped CM is equal ( 5. 2. Sup . ) to the solid parallelepiped CP ; because they are upon the same base , and their insisting straight lines AF , AO , CD , CR ; LM . LP , BH , BQ are ...
Σελίδα 204
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. PROP . VIII . THEOR . Solid parallelepipeds which have the same altitude , are to one another as their bases , Let AB , CD be solid parallelepipeds ...
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. PROP . VIII . THEOR . Solid parallelepipeds which have the same altitude , are to one another as their bases , Let AB , CD be solid parallelepipeds ...
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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 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