## Elements of Geometry and Trigonometry |

### From inside the book

Results 6-10 of 10

Page 159

...

...

**prism**, which having ABC for its base , is equal to their difference . Divide the altitude AT into equal parts Ax ...**triangular**pyramid is a BOOK VII . 159. Page 160

...

...

**triangular prism**having the same base and the same altitude . Let F - ABC be a triangular pyramid , ABC - DEF a**triangular prism**of the same base and the same altitude ; the pyramid will be equal to a third of the prism . A E B F УС Cut ... Page 161

...

...

**triangular**pyra- mids , or the polygonal pyramid S - ABCDE will be measured by the sum of the triangles ABE , BCE ...**prism**which has the same base and the same altitude . Cor . 2. Two pyramids having the same altitude are to each other ... Page 163

...

...

**triangular prisms**are to each other as the cubes of their homologous sides . Let CBD - P , cbd - p , be two similar**triangular prisms**, of which BC , bc , are homologous sides : then will the prism CBD - P be to the prism cbd - p , as ... Page 164

... prism is equal to the base multiplied by the altitude ( Prop . XIV . ) ; hence , the prism BCD - P : prism bcd - p ...

... prism is equal to the base multiplied by the altitude ( Prop . XIV . ) ; hence , the prism BCD - P : prism bcd - p ...

**triangular prisms**, having their faces similar and like placed ; and therefore , equally inclined ( Book VI . Prop ...### 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