## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 12

Page 142

...

...

**convex surface**of the prism ; the equal straight lines AF , BG , CH , & c . are called the sides , or edges of the prism . d 5. The altitude of a prism is the distance between its two bases , or the perpendicular drawn from a point in ... Page 144

...

...

**convex surface**of a right prism is equal to the perimeter of its base multiplied by its altitude . Let ABCDE - K be a right prism : then will its**convex surface**be equal to ( AB + BC4CD + DE + EA ) × AF . F K. H For , the convex ... Page 146

...

...

**convex surface**of a regular pyramid is equal to the perime- ter of its base multiplied by half the slant height . For , since the pyramid is regular , the point O , in which the axis meets the base , is the centre of the polygon ABCDE ... Page 147

...

...

**convex surface**of the pyramid , is equal to the perimeter of the base multiplied by half the slant height . Cor . The**convex surface**of the frustum of a regular pyra- mid is equal to half the perimeters of its upper and lower bases ... Page 166

...

...

**convex surface**. The immoveable line AB is called the axis of the cylinder . M Every section KLM , made in the cylinder , at right angles to the axis , is a circle equal to F either of the bases ; for , whilst the rectangle ABCD turns ...### 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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex