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
... prism is a 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 ...
... prism is a 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 ...
Página 193
... prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . A D N. B. , The insisting straight lines of a parallelopiped , mentioned in the following propositions , are the ...
... prism CAE is equal to the prism CBE ( 1. 3. Sup . ) , and the solid AB is cut into two equal prisms by the plane CDEF . A D N. B. , The insisting straight lines of a parallelopiped , mentioned in the following propositions , are the ...
Página 194
... prisms DAG , HLN are equal ( 1. 3. Sup . ) . If therefore the prism LNH be taken from the 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 ...
... prisms DAG , HLN are equal ( 1. 3. Sup . ) . If therefore the prism LNH be taken from the 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 ...
Página 197
... prism and a parallelopiped , which have the same alti tude , are to one another as their bases ; that is , the prism BNM is to the parallelopiped CD as the triangle AEM to the parallelogram LG . For by the last Cor . the prism BNM is to the ...
... prism and a parallelopiped , which have the same alti tude , are to one another as their bases ; that is , the prism BNM is to the parallelopiped CD as the triangle AEM to the parallelogram LG . For by the last Cor . the prism BNM is to the ...
Página 199
... prisms are to one another in the ratio compounded of the ratios of their bases , and of their altitudes . For every prism is equal to a parallelopiped of the same altitude with it , and of an equal base ( 2. Cor . 8. 3. Sup . ) . PROP ...
... prisms are to one another in the ratio compounded of the ratios of their bases , and of their altitudes . For every prism is equal to a parallelopiped of the same altitude with it , and of an equal base ( 2. Cor . 8. 3. Sup . ) . PROP ...
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