Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 13
... centre , at any distance from that centre . J 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND OBLIQUE DEFINITIONS . 13.
... centre , at any distance from that centre . J 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND OBLIQUE DEFINITIONS . 13.
Σελίδα 73
... Centre . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of a circle is any straight line drawn from the centre to the circumference , as O A , Fig . 1 . 163. DEF . A Diameter of a ...
... Centre . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of a circle is any straight line drawn from the centre to the circumference , as O A , Fig . 1 . 163. DEF . A Diameter of a ...
Σελίδα 75
... centres coincide their circumferences will coincide , since all the points of both are at the same distance from the centre . 176. Every diameter bisects the circle and its circumference . For if we fold over the segment A M B on A B as ...
... centres coincide their circumferences will coincide , since all the points of both are at the same distance from the centre . 176. Every diameter bisects the circle and its circumference . For if we fold over the segment A M B on A B as ...
Σελίδα 76
... centre of the O , draw the radii OH , OP , and O K. Then OH , OP , and OK are equal , ( being radii of the same circle ) . § 163 .. if HK could intersect the circumference in three points , we should have three equal straight lines OH ...
... centre of the O , draw the radii OH , OP , and O K. Then OH , OP , and OK are equal , ( being radii of the same circle ) . § 163 .. if HK could intersect the circumference in three points , we should have three equal straight lines OH ...
Σελίδα 77
... centre intercept equal arcs on the circumference . R B A R BI P PI In the equal circles ABP and A'B'P ' let 20 = 20 ' . We are to prove arc RS = = arc R ' S ' . Apply OABP to OA'B ' P ' , so that shall coincide with O ' . The point R ...
... centre intercept equal arcs on the circumference . R B A R BI P PI In the equal circles ABP and A'B'P ' let 20 = 20 ' . We are to prove arc RS = = arc R ' S ' . Apply OABP to OA'B ' P ' , so that shall coincide with O ' . The point R ...
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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