Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Side iv
BOOK IV . • Page 125 Section 1. Of lines , perpendicular , or inclined , or parallel , to ... Section 1. Surfaces and contents of the right cylinder and right cone ... conic sections III . Plane sections of the oblique cone , of the right ...
BOOK IV . • Page 125 Section 1. Of lines , perpendicular , or inclined , or parallel , to ... Section 1. Surfaces and contents of the right cylinder and right cone ... conic sections III . Plane sections of the oblique cone , of the right ...
Side 213
... sections of these parallel The orthographic projection of a planes made by the plane of projection 9. The vertical plane of a conic sec- tion is. For , the direc- tion CD not being parallel to the plane AB ( def . 2. ) , the straight ...
... sections of these parallel The orthographic projection of a planes made by the plane of projection 9. The vertical plane of a conic sec- tion is. For , the direc- tion CD not being parallel to the plane AB ( def . 2. ) , the straight ...
Side 214
... Sections of the Right Cone , or Conic Sections . Ir is easy to perceive that every section of a right cone which is made by a plane passing through the vertex is rectilineal , and , again , that every section which is made by a plane ...
... Sections of the Right Cone , or Conic Sections . Ir is easy to perceive that every section of a right cone which is made by a plane passing through the vertex is rectilineal , and , again , that every section which is made by a plane ...
Side 215
... conic section . 10. If the ver- tical plane of a conic section falls entirely with- out the surface , the conic section surrounds the lower cone , and is called an ellipse . The reason why the section in this case surrounds the lower ...
... conic section . 10. If the ver- tical plane of a conic section falls entirely with- out the surface , the conic section surrounds the lower cone , and is called an ellipse . The reason why the section in this case surrounds the lower ...
Side 216
... conic section QPR is the per- spective projection of a circular section qpr , upon the plane of the conic section , by straight lines drawn from the ver- tex V ; and the vertical plane of such perspective projection is the vertical ...
... conic section QPR is the per- spective projection of a circular section qpr , upon the plane of the conic section , by straight lines drawn from the ver- tex V ; and the vertical plane of such perspective projection is the vertical ...
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A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical