Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα viii
... SURFACE OF THE SPHERE 356 SPHERICAL ANGLES . 363 SPHERICAL POLYGONS AND PYRAMIDS . 365 COMPARISON AND MEASUREMENT OF SPHERICAL SURFACES 383 VOLUME OF THE SPHERE -396 ELEMENTS OF GEOMETRY . BOOK I. RECTILINEAR FIGURES . INTRODUCTORY viii ...
... SURFACE OF THE SPHERE 356 SPHERICAL ANGLES . 363 SPHERICAL POLYGONS AND PYRAMIDS . 365 COMPARISON AND MEASUREMENT OF SPHERICAL SURFACES 383 VOLUME OF THE SPHERE -396 ELEMENTS OF GEOMETRY . BOOK I. RECTILINEAR FIGURES . INTRODUCTORY viii ...
Σελίδα 3
... surfaces be made smooth by pol- ishing , so that , when a straight - edge is applied to any one of them , the straight - edge in every part will touch the surface , the surfaces are called Plane Surfaces . The sharp edge in which any ...
... surfaces be made smooth by pol- ishing , so that , when a straight - edge is applied to any one of them , the straight - edge in every part will touch the surface , the surfaces are called Plane Surfaces . The sharp edge in which any ...
Σελίδα 4
... surface in motion . B A F E H K Thus , in the diagram , let the upright surface A B C D move to the right to the position EFHK . The points A , B , C , and D will generate the lines AE , BF , CK , and D H respectively . And the lines ...
... surface in motion . B A F E H K Thus , in the diagram , let the upright surface A B C D move to the right to the position EFHK . The points A , B , C , and D will generate the lines AE , BF , CK , and D H respectively . And the lines ...
Σελίδα 5
... Surface , or a Plane , is a surface in which , if any two points be taken , the straight line joining these points will lie wholly in the surface . 12. DEF . A Curved Surface is a surface no part of which is plane . 13. Figure or form ...
... Surface , or a Plane , is a surface in which , if any two points be taken , the straight line joining these points will lie wholly in the surface . 12. DEF . A Curved Surface is a surface no part of which is plane . 13. Figure or form ...
Σελίδα 6
... surfaces , and solids , with their relations , are the geometrical conceptions , and constitute the subject - matter of Geometry . 16. Plane Geometry treats of plane figures . Plane figures are either rectilinear , curvilinear , or ...
... surfaces , and solids , with their relations , are the geometrical conceptions , and constitute the subject - matter of Geometry . 16. Plane Geometry treats of plane figures . Plane figures are either rectilinear , curvilinear , or ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume