## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |

### From inside the book

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**cylinder**, concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of Geometry . The Book of the Data has been annexed to several editions of EUCLID'S ... Page 196

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**cylinder**is the fixed straight line about which the pa- rallelogram revolves . XVI . The bases of a**cylinder**are the circles described by the two revoly- ing opposite sides of the parallelogram . XVII . Similar cones and**cylinders**... Page 213

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**cylinder**, a straight line be drawn perpendicular to the plane of the base , it will be wholly in the cylindric superficies . Let ABCD be a**cylinder**of which the base is the circle AEB , DFC the circle opposite to the base , and GH the ... Page 214

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**cylinder**and a parallelepiped having equal bases and altitudes , are equal to one another . Let ABCD be a**cylinder**, and EF a parallelepiped having equal bases , viz . the circle AGB and the parallelogram EH , and having also equal ... Page 215

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**cylinder**BFKG . If not , let the cone ABCD be the third part of another**cylinder**LMNO , having the same altitude with the**cylinder**BFKG , but let the bases BCD and LIM be unequal ; and first , let BCD be greater than LIM . K G A H IN 口 ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore