## 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 Trigonometry |

### From inside the book

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**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. Page 200

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**parallelepiped**, mentioned in the following propositions , are the sides of the parallelograms be- twixt the ...**parallelepipeds**AH , AK be upon the same base AB , and of the same altitude , and let their insisting straight lines ... Page 201

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**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 ... Page 202

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**parallelepipeds**, & c . Q. E. D. 1 PROP . VII . THEOR Solid**parallelepipeds**which are upon equal bases , and of the same altitude are equal to one another . Let the solid**parallelepipeds**, AE , CF , be upon equal bases AB , CD , and be ... Page 203

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**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 same plane , so that CL , LB be in a ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition 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 MDCCCXX 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