Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα 12
... of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . A A 40. DEF . An Axiom is a truth 12 BOOK I. GEOMETRY . MATHEMATICAL TERMS AXIOMS AND POSTULATES.
... of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . A A 40. DEF . An Axiom is a truth 12 BOOK I. GEOMETRY . MATHEMATICAL TERMS AXIOMS AND POSTULATES.
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 AECB arc BC arc BAE C. But arc A Barc BC , ( being subtended by the less chord ) . .. arc A EC B > arc BAE C. $ 213 Q. E. D. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To 102 BOOK II . GEOMETRY . -
... - .. arc A B + arc AECB arc BC arc BAE C. But arc A Barc BC , ( being subtended by the less chord ) . .. arc A EC B > arc BAE C. $ 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 . n 0 Å B Let A and B be the two known points ; n the dis- tance of the required ...
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 . n 0 Å B Let A and B be the two known points ; n the dis- tance of the required ...
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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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices