## Elements of Geometry and Trigonometry |

### From inside the book

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Page 143

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**prism**. In every other case the**prism**is oblique , and the altitude less than the side . 7. A**prism**is**triangular**, quadrangular , pentagonal , hex- agonal , & c . when the base is a**triangle**, a quadrilateral , a pentagon , a hexagon ... Page 150

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**triangular prism**ABD - H be equivalent to the trian- gular prism BCD - H . E F H G Through the vertices B and F , draw the planes Bade , Fehg , at right angles to the side BF , the former meeting AE , DH , CG , A the three other sides ... Page 151

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**triangular prism**ABD - HEF is half of the paral- lelopipedon AG described with the same solid angle A , and the same ...**triangular prism**AEI - MDH , is equal to the**triangular prism**BFK - LCG . Since AE is parallel to BF , and HE to GF ... Page 157

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**triangular prism**is half of the par- allelopipedon so constructed as to have the same altitude and a double base ( Prop . VII . ) . But the solidity of the latter is equal to its base multiplied by its altitude ; hence that BOOK VII . 157. Page 158

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**triangular prism**is also equal to the product of its base , which is half that of the parallelopipedon , multiplied into its altitude . In the third place , any prism may be divided into as many**triangular prisms**of the same altitude ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex