## Elements of Geometry and Trigonometry |

### From inside the book

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Page 166

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**cylinder**, the side CD at the same time describing the convex surface . The immoveable line AB is called the axis of the**cylinder**. KI M Every section KLM , made in the**cylinder**, at right angles to the axis , is a circle equal to F ... Page 167

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**cylinder**, is said to be inscribed in the cylin- der , or the**cylinder**to be circumscribed about the prism . The edges AF , BG , CH , & c . of the prism , being perpendicular to the plane of the base , are evidently included in the ... Page 168

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**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 169

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**cylinder**is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the given**cylinder's**base , and H its altitude : the the circumference whose radius is CA being rep- resented by circ . CA , we are ... Page 170

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**cylinder**, and H the altitude . Let the circle whose radius is CA be repre- sented by area CA , it is to be proved that the solidity of the**cylinder**is equal to area CA × H. Inscribe in the circle any regu- lar polygon BDEFGA , and con ...### 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