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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 189
... parallelopiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . 6. A cube is a solid figure contained by six equal squares . 7. A sphere is a solid figure described by the revolution ...
... parallelopiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . 6. A cube is a solid figure contained by six equal squares . 7. A sphere is a solid figure described by the revolution ...
Página 191
... parallelopiped be cut by a plane parallel to two of its opposite planes , it will be divided into two solids , which will be to one another as the bases . Let the solid parallelopiped ABCD be cut by the plane EV , which is parallel to ...
... parallelopiped be cut by a plane parallel to two of its opposite planes , it will be divided into two solids , which will be to one another as the bases . Let the solid parallelopiped ABCD be cut by the plane EV , which is parallel to ...
Página 192
... the solid ED . COR . Because the parallelogram AF is to the parallelogram FH as YF to FC ( 1. 6. ) , therefore the solid AV is to the solid ED as YF to FC . PROP . IV . THEOR . If a solid parallelopiped 192 SUPPLEMENT TO THE ELEMENTS.
... the solid ED . COR . Because the parallelogram AF is to the parallelogram FH as YF to FC ( 1. 6. ) , therefore the solid AV is to the solid ED as YF to FC . PROP . IV . THEOR . If a solid parallelopiped 192 SUPPLEMENT TO THE ELEMENTS.
Página 193
... parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes , it will be cut into two equal prisms . Let AB be a solid parallelopiped , and DE , CF the diagonals of the op- posite parallelograms AH , GB ...
... parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes , it will be cut into two equal prisms . Let AB be a solid parallelopiped , and DE , CF the diagonals of the op- posite parallelograms AH , GB ...
Página 194
... parallelopiped AH is equal to the remaining . parallelopiped AK . PROP . VI . THEOR . Solid parallelopipeds upon the same base , and of the same altitude , the in- sisting straight lines of which are not terminated in the same straight ...
... parallelopiped AH is equal to the remaining . parallelopiped AK . PROP . VI . THEOR . Solid parallelopipeds upon the same base , and of the same altitude , the in- sisting straight lines of which are not terminated in the same straight ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided 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 triangle DEF wherefore