The Elements of Solid Geometry |
From inside the book
Results 1-5 of 9
Page vi
... properties of normals then directly follow . I would invite attention to the simplicity attained by this mode of treatment , and to facilitate comparison I have added to each proposition a reference to the corre- sponding proposition in ...
... properties of normals then directly follow . I would invite attention to the simplicity attained by this mode of treatment , and to facilitate comparison I have added to each proposition a reference to the corre- sponding proposition in ...
Page 68
... properties of particular solid figures ; but the definitions of the more important classes of such figures , and a summary of their more fundamental and characteristic properties , 68 ELEMENTS OF SOLID GEOMETRY . [ SECT . IV .
... properties of particular solid figures ; but the definitions of the more important classes of such figures , and a summary of their more fundamental and characteristic properties , 68 ELEMENTS OF SOLID GEOMETRY . [ SECT . IV .
Page 69
Robert Baldwin Hayward. a summary of their more fundamental and characteristic properties , will here be given , as likely to be useful to the student . The proofs of these properties will not in general be found difficult by any one who ...
Robert Baldwin Hayward. a summary of their more fundamental and characteristic properties , will here be given , as likely to be useful to the student . The proofs of these properties will not in general be found difficult by any one who ...
Page 71
... properties enunciated above for a prism are true also for a cylinder , mutatis mutandis . PYRAMID . Def . A pyramid is the solid figure included between a solid angle and a plane which intersects all its bounding planes ; and the ...
... properties enunciated above for a prism are true also for a cylinder , mutatis mutandis . PYRAMID . Def . A pyramid is the solid figure included between a solid angle and a plane which intersects all its bounding planes ; and the ...
Page 72
... properties enunciated above for the pyramid are true , mutatis mutandis , for the cone . The properties of the plane sections of the circular cone and cylinder form a large branch of geometry , treated under the head of Conic Sections ...
... properties enunciated above for the pyramid are true , mutatis mutandis , for the cone . The properties of the plane sections of the circular cone and cylinder form a large branch of geometry , treated under the head of Conic Sections ...
Other editions - View all
Common terms and phrases
ABCD angle ACB axis bisected central symmetry centre centre of symmetry circle Crown 8vo cuboid diameter dihedral angle direct line distance drawn Elementary equal bases equally inclined Euclid exterior angle finite four right angles frustrum given line given point Globe 8vo greater Hence less lines joining lines of intersection lune meets the plane middle point number of faces number of sides pair parallel planes perpendicular plane BOC plane faces plane geometry plane parallel plane triangle planes are parallel polar triangle polygon polyhedra polyhedron position prism projection Q. E. D. COR Q. E. D. THEOREM quadrant ratio regular regular polyhedron six right solid angles solid figure Solid Geometry space sphere spherical excess spherical surface spherical triangle Spherical Trigonometry straight line superposable supplementary symmetrical with respect termed tetrahedron three planes triangle ABC vertex volume
Popular passages
Page 130 - ... equal, then the angles opposite to the other pair of equal sides are either equal or supplementary, and in the former case the triangles are identically equal.
Page 120 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...