## Elements of Geometry and Trigonometry |

### From inside the book

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Page 166

A

A

**cylinder**is the solid generated by the revolution of a rectangle ABCD , conceived to turn about the immoveable side AB . In this movement , the sides AD , BC , continuing always perpendicular to AB , describe equal circles DHP ... Page 167

Two

Two

**cylinders**, or two cones , are similar , when their axes are to each other as the diameters of their bases . 5. If in the circle ACD , which forms the base of a**cylinder**, a polygon ABCDE be inscribed , a right prism , constructed ... Page 168

The

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 169

The convex surface of a

The convex surface of a

**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 circumference whose radius is CA being represented by ... Page 170

Let CA be the radius of the base of the

Let CA be the radius of the base of the

**cylinder**, and H the altitude . Let the circle whose radius is CA be represented by area CA , it is to be proved that the solidity of the**cylinder**is equal to area CA × H. Inscribe in the circle ...### What people are saying - Write a review

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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole