## 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, 1851 - 317 sider |

### Inni boken

Resultat 1-5 av 13

Side 195

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**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 ... Side 199

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**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 N. B. The insisting straight lines of a parallelopiped , mentioned in the following propositions , are the sides ... Side 200

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**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**... Side 203

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**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**DPG as the triangle AME to the triangle CGF , and therefore the**prism**BNM is to twice the**prism**DPG ... Side 205

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**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 ...### Andre utgaver - Vis alle

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore