Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 12
... graphical representation of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . 40. DEF . An Axiom is a truth which is 12 BOOK I. GEOMETRY.- MATHEMATICAL TERMS.
... graphical representation of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . 40. DEF . An Axiom is a truth which is 12 BOOK I. GEOMETRY.- MATHEMATICAL TERMS.
Σελίδα 13
... problem which is admitted to be possible . 42. DEF . A Proposition is either a theorem or a problem . 43. DEF . A Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon ...
... problem which is admitted to be possible . 42. DEF . A Proposition is either a theorem or a problem . 43. DEF . A Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon ...
Σελίδα 102
... .. arc A B + arc A EC B arc BC + arc BAE C. But arc A Barc BC , ( being subtended by the less chord ) . .. arc AEC B > arc BAEC . § 213 Q. E. D. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To 102 BOOK II . GEOMETRY . -
... .. arc A B + arc A EC B arc BC + arc BAE C. But arc A Barc BC , ( being subtended by the less chord ) . .. arc AEC B > arc BAEC . § 213 Q. E. D. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To 102 BOOK II . GEOMETRY . -
Σελίδα 103
George Albert Wentworth. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To find a point in a plane , having given its dis- tances from two known points . C n 0 X Å B Let A and B be the two known points ; n the dis- tance of the ...
George Albert Wentworth. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To find a point in a plane , having given its dis- tances from two known points . C n 0 X Å B Let A and B be the two known points ; n the dis- tance of the ...
Σελίδα 104
... problem is impossible when the distance between the two known points is greater than the sum of the distances of the required point from the two given points . Let the distance from A to B be greater than n + o . Then from A as a centre ...
... problem is impossible when the distance between the two known points is greater than the sum of the distances of the required point from the two given points . Let the distance from A to B be greater than n + o . Then from A as a centre ...
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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