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 - Mathematics |
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Page i
... PROJECTION , SO FAR AS IT IS AUXILIARY TO GEOMETRY ; WITH AN ACCOUNT OF THE PLANE SECTIONS OF THE CONE AND CYLINDER , IN WHICH CERTAIN GENERAL PROPERTIES OF THE CONIC SECTIONS ARE DEMONSTRATED BY HELP OF THE FOREGOING THEORY ...
... PROJECTION , SO FAR AS IT IS AUXILIARY TO GEOMETRY ; WITH AN ACCOUNT OF THE PLANE SECTIONS OF THE CONE AND CYLINDER , IN WHICH CERTAIN GENERAL PROPERTIES OF THE CONIC SECTIONS ARE DEMONSTRATED BY HELP OF THE FOREGOING THEORY ...
Page iv
... projection , by lines diverging , and by lines parallel II . Of the plane sections of the right cone , or conic sections III . Plane sections of the oblique cone , of the right cylinder , and of the oblique cylinder 229 Errata Index 234 ...
... projection , by lines diverging , and by lines parallel II . Of the plane sections of the right cone , or conic sections III . Plane sections of the oblique cone , of the right cylinder , and of the oblique cylinder 229 Errata Index 234 ...
Page 206
... Projection by Lines diverging. the triangles PDA , PDB have two sides of the one equal to two sides of the other , each to each , and the included angles PDA , PDB equal to one ano- ther ( 13. ) . And , for the same reason , if PA and PC ...
... Projection by Lines diverging. the triangles PDA , PDB have two sides of the one equal to two sides of the other , each to each , and the included angles PDA , PDB equal to one ano- ther ( 13. ) . And , for the same reason , if PA and PC ...
Page 207
... , are to one another as the squares of the radii of the spheres , or as the squares of the arcs which are homologous sides of the triangles . 208 Oblique Cylinder . PART I. - Of Projection by VI . § 4. ] 207 GEOMETRY .
... , are to one another as the squares of the radii of the spheres , or as the squares of the arcs which are homologous sides of the triangles . 208 Oblique Cylinder . PART I. - Of Projection by VI . § 4. ] 207 GEOMETRY .
Page 208
... Projection by Lines di- verging and by Lines parallel . Ir is not here intended to enter at large upon the subject of perspective , or to anticipate in any manner the rules by which it affords such material assistance to the draughtsman ...
... Projection by Lines di- verging and by Lines parallel . Ir is not here intended to enter at large upon the subject of perspective , or to anticipate in any manner the rules by which it affords such material assistance to the draughtsman ...
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Common terms and phrases
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