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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 189
... 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 . 5. A parallelopiped 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 . 5. A parallelopiped is a solid figure contained by six quadrilateral ...
Página 191
... solid 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 ...
... solid 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 ...
Página 192
... solid NV ; and if the base LF be greater than the base NF , the solid LV is greater than the solid NV : and if less , less . Since then there are four magnitudes , viz . the two bases ... solid parallelopiped 192 SUPPLEMENT TO THE ELEMENTS.
... solid NV ; and if the base LF be greater than the base NF , the solid LV is greater than the solid NV : and if less , less . Since then there are four magnitudes , viz . the two bases ... solid parallelopiped 192 SUPPLEMENT TO THE ELEMENTS.
Página 193
... solid 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 ...
... solid 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 ...
Página 194
... 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 remaining solid , viz . the parallelopiped AH is equal to the remaining .
... 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 remaining solid , viz . the parallelopiped AH is equal to the remaining .
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
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 draw Prob 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