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Bøker Bok 110 av 58... or cylinder be cut by a plane parallel to the base, the section is a figure parallel...
" ... 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 - Side 130
1855 - 324 sider
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A Philosophical and Mathematical Dictionary: Containing an ..., Volum 2

Charles Hutton - 1815
...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, William Hawney - 1817
...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 on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 434 sider
...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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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 sider
...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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1829 - 252 sider
...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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A Complete System of Mensuration of Superfices and Solids, of All Regular ...

Tobias Ostrander - 1833 - 159 sider
...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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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 458 sider
...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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The connexion of the physical sciences

Mary Somerville - 1834
...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 - 1834 - 159 sider
...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, Robert Chambers, William Chambers - 1837 - 164 sider
...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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