A Treatise on Solid GeometryMcMillan and Company, 1863 - 471 Seiten |
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asymptotic ax² axes axis coincident cone conic conicoid consecutive constant corresponding cos² cosines curve of intersection cylinder determine developable surface directing planes direction-cosines directrix drawn dx dy dy dz ellipse ellipsoid envelope find the equation fixed point given plane given point given straight line Hence hyperbolic paraboloid hyperboloid infinite distance infinite number Let the equation line joining line of intersection lines of curvature locus normal nth degree number of points obtain osculating plane P₁ parabola perpendicular plane containing plane curve plane of xy plane passing plane section plane whose equation point of contact polar plane pole position projection radius reciprocal right angles ruled surface second degree shew sin² singular point sphere tangent plane tetrahedral co-ordinates tetrahedron values vertex
Beliebte Passagen
Seite 472 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.
Seite 475 - Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The P^xamples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations ; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work.
Seite 98 - The hyperboloid of one sheet may be generated by the motion of a variable ellipse, which moves so that its plane is always parallel to a fixed plane, and which changes its form so that its vertices always lie in two hyperbolas traced on planes perpendicular to each other and to the fixed plane, these hyperbolas having a common conjugate axis.
Seite 135 - Conic, is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line.