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
... parallelepiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . VI . A cube is a solid figure contained by six equal squares . VII . A sphere is a solid figure described by ELEMENTS.
... parallelepiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . VI . A cube is a solid figure contained by six equal squares . VII . A sphere is a solid figure described by ELEMENTS.
Σελίδα 200
... parallelepiped , mentioned in the following propositions , are the sides of the parallelograms be . twixt the base and the plane parallel to it . PROP . V. THEOR . Solid parallelepipeds upon the same base , and of the same altitude ...
... parallelepiped , mentioned in the following propositions , are the sides of the parallelograms be . twixt the base and the plane parallel to it . PROP . V. THEOR . Solid parallelepipeds upon the same base , and of the same altitude ...
Σελίδα 201
... parallelepiped AH is equal to the remaining parallele- piped AK . Therefore solid parallelepipeds , & c . Q. E. D. PROP . VI . THEOR . Solid parallelepipeds upon the same base , and of the same altitude , the in- sisting straight lines ...
... parallelepiped AH is equal to the remaining parallele- piped AK . Therefore solid parallelepipeds , & c . Q. E. D. PROP . VI . THEOR . Solid parallelepipeds upon the same base , and of the same altitude , the in- sisting straight lines ...
Σελίδα 202
... 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 terminated in ...
... 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 terminated in ...
Σελίδα 203
... parallelepipeds , SE , CF be upon equal bases SB , CD , and be of the same altitude , and let their insisting straight lines be at right angles to the bases ; and place the bases SB , CD in the plane , so that CL , LB be in a straight ...
... parallelepipeds , SE , CF be upon equal bases SB , CD , and be of the same altitude , and let their insisting straight lines be at right angles to the bases ; and place the bases SB , CD in the plane , so that CL , LB be in a straight ...
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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