## Elements of Geometry and Trigonometry |

### From inside the book

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Page 166

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**cone**; the hypothenuse SB describes the convex surface of the**cone**. The point S is named the vertex of the**cone**, SA the axis or the altitude , and SB the side or the apothem . Every section HKFI , at right angles to the axis , is a ... Page 167

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**cone**, any polygon ABCDE be inscribed , and from the vertices A , B , C , D , E , lines be drawn to S , the vertex of the**cone**, these lines may be regarded as the sides of a pyramid whose base is the polygon ABCDE and vertex S. The ... Page 168

... form the bases of the zone or segment . Note . The Cylinder , the

... form the bases of the zone or segment . Note . The Cylinder , the

**Cone**, and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder 168 GEOMETRY . Page 171

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**cone**is equal to the circumference of its base , multiplied by half its side . Let the circle ABCD be the base of a**cone**, S the vertex , SO the altitude , and SA the side : then will its convex sur- face be equal to circ . OA × SA . 3 ... Page 172

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**cone**. The con- vex surface of the frustum of the pyramid is equal to half the sum of the perimeters of its bases multiplied by the slant height fh ( Book VII . Prop . IV . Cor . ) . A Odi I Let now the number of sides of the inscribed ...### 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