 | John Farrar - 1822 - 270 σελίδες
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays... | |
 | John Farrar - 1822 - 244 σελίδες
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays... | |
 | John Farrar - 1833 - 276 σελίδες
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays... | |
 | John Farrar - 1833 - 274 σελίδες
...a circle ; since the cone formed, as above described, is a right cone, and every section of a right cone, made by a plane parallel to the base, is a circle. When, however, the circle is oblique to the plane of projection, the cone formed by the visual rays... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...NOP — BCD, &c. The polygons are therefore similar, by art. 169. 378. Corollary. The section of a cone made by a plane parallel to the base is a circle. 379. Corollary. If the perpendicular ST is let fall from S upon the base, meeting the section at R,... | |
 | Euclides - 1842 - 316 σελίδες
...from them. Let the circle A в c be the base and p Q the axis of a cone, and let the circle DEF be a section of the cone made by a plane parallel to the base ; also let the circle G н к be another section likewise parallel to the base, and at equal distances... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...C, JVOP = B CD, &c. The polygons are therefore similar, by i5 170. 378. Corollary. The section of a cone made by a plane parallel to the base is a circle. Equivalent Pyramids and Cones. 379. Corollary. If the perpendicular ST is let fall from S upon the... | |
 | William Frothingham Bradbury - 1872 - 262 σελίδες
...— IH:DC, &c. Therefore the polygons GI and BD are similar (II. 19). 40, Corollary. A section of a cone made by a plane parallel to the base is a circle. THEOREM VIII. 41 i The convex surface of a right pyramid is equal to the perimeter of its base multiplied... | |
 | William Frothingham Bradbury - 1872 - 124 σελίδες
...we should find Therefore the polygons GI and BD are similar (II. 19). 40. Corollary. A section of a cone made by a plane parallel to the base is a circle. THEOREM VIII. 41 1 The convex surface of a right pyramid is equal to the perimeter of its base multiplied... | |
 | 1876 - 646 σελίδες
...of its circumference by its radius. 5. Calculate the area of a circle whose radius is 10 ft. H.— SOLID AND SPHERICAL GEOMETRY. 6. The sum of any two...9. Calculate the area of a zone on the sphere whose radiii? if 1 0 ft., the altitude of the zone being 3 ft. 10. Write expressions for the surface and... | |
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Every section of a circular cone made by a plane parallel to the base is a circle. 
