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" The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Page 284
by Peter Nicholson - 1825 - 372 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...axis of a cylinder is the fixed straight line about which the parallelogram revolves. XXIII. XXIV. Similar cones and cylinders are those which have their...by four equal and equilateral triangles. XXVII. An octrahedron is a solid figure contained by eight equal and equilateral triangles. XXVIII. A dodecahedron...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...a cylinder are the circles described by the two revolving opposite sides of the parallelogram. 24. Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals, 25. A cube is a solid figure contained by six equal squares. 26, A tetrahedron is a solid figure contained...
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Plane and solid geometry, by G.E. Webster and A. Gardiner

George E. Webster - 1874 - 136 pages
...8. A Cube is a solid figure contained by six equal squares. It is bounded by twelve equal edges. 9. A Tetrahedron is a solid figure contained by four equal and equilateral triangles. 10. An Octahedron is a solid figure contained by eight equal and equilateral triangles. 11. A Dodecahedron...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...opposite sides of the parallelogram. XXIV. Similar cones and cylinders are those which have their axea and the diameters of their bases proportionals. XXV....is a solid figure contained by six equal squares. XXVL A tetrahedron is a solid figure contained by four equal and equilateral triangles. XXVIL An octrahedron...
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The Elements of Euclid, with Many Additional Propositions and Explanatory ...

Euclid - 1876 - 240 pages
...CYLINDER are the circles c described by the two revolving opposite sides of the parallelogram. 22. SIMILAR CONES AND CYLINDERS are those which have their...axes and the diameters of their bases proportionals. 23. A PARALLELOPIPED is a solid figure contained by six quadrilateral figures, whereof every opposite...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...cone is the part of a cone next the base, cut off by a plane parallel to the base. 6. Similar vones and cylinders are those which have their axes and. the diameters of their bases proportionals. PBOPOSITION I. THEOREM. The convex surface of a cylinder is equal to the product of its altitude by...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...a cylinder are the circles described by the two revolving opposite sides of the parallelogram. 24. Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals. 25. A cube is a solid figure contained by six equal squares. 26. A tetrahedron is a solid figure contained...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1880 - 452 pages
...frustum of a cone is the part of a cone next the base, cut off by a plane parallel to the base. 6. Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the product of its altitude by...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...solid figure contained by six equal squaresA cube is a right parallelepiped of which the sides are squares. XXVI. A tetrahedron is a solid figure contained...equal and equilateral triangles. XXVII. An octahedron ia a solid figure contained by eight equal and equilateral triangles. XXVIII. A dodecahedron is a solid...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...a cylinder are the circles described by the two revolving opposite sides of the parallelogram. 24. Similar cones and cylinders are those which have their...axes and the diameters of their bases proportionals. 25. A cube is a solid figure contained by six equal squares. 26. A tetrahedron is a solid figure contained...
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