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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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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...is found by adding together the areas of all the triangles which form that surface. 5. If a pyramid be cut by a plane parallel to the base, the section will be a plane figure similar to the base; and these two figures will be in proportion to c&ch other as the...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 304 pages
...base of the triangle, is a chord, or diameter, of the circular base AB c of the cone. 4. If a cone be cut by a plane parallel to the base, the section will be 11 circle. Thus, if the cone ABE, be cut by a plane parallel to AB, the section will be a circle, f...
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A treatise of practical mensuration

Anthony Nesbit - Measurement - 1824 - 434 pages
...cone, and any part of the base, the section will be a triangle. 3. If a cone be cut into two parts, by a plane parallel to the base, the section will be a circle. 4. If a cone be cut by a plane passing through its two slant sides, in an oblique direction, the section...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 252 pages
...plane which also cuts the base, the section will be a triangle. 6. If a cone be cut into two parts, by a plane parallel to the base, the section will be a circle. 1. If a cone be cut by a plane which passes through its two slant sides in an oblique direction, the...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...two equal prisms by the plane CDEF. Therefore, if a solid &c. QED PROPOSITION IV. THEOREM. If a prism be cut by a plane parallel to the base the section will be equal and like to the base Let LB be a prism, of which the base is ABCDE, and a section parallel to...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...plane perpendicular to the base, the section will be a triangle. 6. If a cone be cut into two parts by a plane parallel to the base, the section will be a circle. 7. If a cone be cut by a plane which passes through its two slant sides in an oblique direction the...
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The Connection of the Physical Sciences

Mary Somerville - Physical science - 1834 - 390 pages
...plane passing through the apex, the section will be a triangle. If the cone be cut through both sides by a plane parallel to the base, the section will be a circle. Fig. 3. Fig. 4. If the cone be cat slanting quite through both sides, the section will be an ellipse,...
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On the Connexion of the Physical Sciences

Mary Somerville - Electronic books - 1834 - 658 pages
...plane passing through the apex, the section will be a triangle. If the cone be cut through both sides by a plane parallel to the base, the section will be a circle. If the cone be cut slanting quite through both sides, the section will be an ellipse, B a A b,fig....
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 159 pages
...plane perpendicular to the base, the section will be a triangle. 6. If a cone be cut into two parts by a plane parallel to the base, the section will be a circle. 7. If a cone be cut by a plane which passes through its two slant sides in an 'oblique direction the...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...them, and the solids between each of them and the base, are cylinders. • COR. 3. — If a cone or cylinder be cut by a plane parallel to the base, the section is a circle. COR. 4. — Any plane touching the axis of a cone or cylinder, cuts every parallel section...
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