| John Farrar - 1822 - 153 páginas
...all the others are referred. C, the centre of the primitive, will be the projection of the point A, **the pole of the primitive. Any circle of the sphere,...which OEF is a section through the axis. Moreover, the** section SAT, made by the plane of projection, is the projection of the circle EyF. It is proposed to... | |
| John Farrar - 1822 - 153 páginas
...cone formed by rays proceeding from the circumference of this circle to the eye ; and when the ciicle **is parallel to the primitive, its representation upon...the cone formed by the visual rays is also oblique.** Tini circle, for example, which has for its diameter the chord EF, will be the base of a cone of which... | |
| John Farrar - 1833 - 155 páginas
...all the others are referred. C, the centre of the primitive, will be the projection of the point ^, **the pole of the primitive. Any circle of the sphere,...which OEF is a section through the axis. Moreover, the** section SNT, made by the plane of projection, is the projection of the circle EyF. It is proposed to... | |
| Benjamin Peirce - 1837 - 159 páginas
...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,... | |
| 1845
...from the extremities of the major axis upon the axis of the cone. 125. Find the latus rectum of the **section of a right cone made by a plane parallel to the** slant side ; and when the plane passing through the directrix of the section, and the vertex of the... | |
| Benjamin Peirce - 1847 - 150 páginas
...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 Somerville Orr - 1854
...added together, the required volume is one third of the Fig. 47. 13. To find the Volume of the Frustum, **of a right Cone made by a Plane parallel to the Base.** Let ABCD be the frustum of the cone PCD. Join POOj where 001 are the centres of the ends of the frustums.... | |
| Alfred Wrigley - 1862 - 294 páginas
...dropped from the extremities of the major axis upon the axis of the cone. 7. Find the latus rectum of the **section of a right cone made by a plane parallel to the** slant side ; and when the plane passing through the directrix of the section, and the vertex of the... | |
| Thomas Minchin Goodeve - 1870
...greater leverage, and with more effect. 147. The theoretical form of the fusee is an hyperbola, being the **section of a right cone made by a plane parallel to the** axis of the cone. To prove this statement we must first recognise the law according to which an elastic... | |
| William Frothingham Bradbury - 1872 - 110 páginas
...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... | |
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