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" ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a... "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 130
by Charles Davies - 1886 - 324 pages
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...planes passing through them will be parallel to either. 20. If a pyramid with a polygon for its base be cut by a plane parallel to the base, the section will be a polygon similar to the base. N LOXDOX PR1STsD sY SPOTTISTOOnE AXD CO. XEW-8TRKKT SQCARE PATERNOSTKR...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...mean ratio in G, II, shew that GlfCB is a square. 64. If a pyramid with a polygon for its base 'ie cut by a plane parallel to the base, the section will be a polygon similar to the base. VIII. 65. If a straight line be at right angles to a plane, the intersection...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...fixed, is called the axis, or altitude of the cone, and the point C, the vertex of the cone21 If a cone be cut by a plane parallel to the base, the section will be a circle- For, while in the revolution of the right angled triangle SAC, the line CA describes the base of the...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...that the circle described by the line EF perpendicular to the axis is equal to either base; hence, if a cylinder be cut by a plane parallel to the base, the section will be a circle equal to the base. 2. AC o NE is a volume which may be generated by the revolution of a right-angled triangle about one...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...surface of a cone, or of a cylinder, moves in a plane parallel to the base (565). Therefore, if a cone or a cylinder be cut by a plane parallel to the base, the section is a circle. ferent modes in which it is possible for the intersection to take place. The curves thus...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...which these two lines shall be two of the edges. 35. If a pyramid with a polygon for its base be out by a plane parallel to the base, the section will be a polygon similar to the base. 36. If a straight line be at right angles to a plane, the intersection...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 394 pages
...cylinder, it will intersect the cylinder in a rectangle, PG, which is double the revolving rectangle DE. 18. If a cylinder be cut by a plane parallel to the...a circle equal to the base. For, while the ,, side PC, of the rectangle MC, describes the lower base, the equal side MP, will describe the circle MLKN,...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...surface of a cone, or of a cylinder, moves in a plane parallel to the base (565). Therefore, if a cone or a cylinder be cut by a plane parallel to the base, the section is a circle. ferent modes in which it is possible for the intersection to take place. The curves thus...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...of which these two lines shall be two of the edges. 35. • If a pyramid with a polygon for its base be cut by a plane parallel to the base, the section will be a polygon similar to the base. 36. If a straight line be at right angles to a plane, the intersection...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...parallelogram. 9. If a cone be cut by a plane through an element, the section is a triangle. 10. If a cone or cylinder be cut by a plane parallel to the base, the section is a circle. 11. Two similar cylinders are on circles 2 and 3 feet in diameter; what is their relative...
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