Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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Seite 6
... equal by changing the sign of one , are said to be equal in magni- tude but opposite in sense . 48. Since turning the plane of a bi - radial through half a revolution changes the sense of each of its four angles , therefore , if one ...
... equal by changing the sign of one , are said to be equal in magni- tude but opposite in sense . 48. Since turning the plane of a bi - radial through half a revolution changes the sense of each of its four angles , therefore , if one ...
Seite 7
... equal in magnitude . 50. As a consequence , all perigons are equal in magnitude . 51. If two angles have a vertex and an arm in common , they are called adjacent angles . FIG . 20 . 52. When two adjacent angles are of the same sense ...
... equal in magnitude . 50. As a consequence , all perigons are equal in magnitude . 51. If two angles have a vertex and an arm in common , they are called adjacent angles . FIG . 20 . 52. When two adjacent angles are of the same sense ...
Seite 8
... equal , being equal to the generating sect . 59. Since the moving sect , after rotating through a perigon , returns to its trace , therefore the moving end point describes a closed curve . FIG . 27 . 60. This curve divides the plane ...
... equal , being equal to the generating sect . 59. Since the moving sect , after rotating through a perigon , returns to its trace , therefore the moving end point describes a closed curve . FIG . 27 . 60. This curve divides the plane ...
Seite 9
... equal to , or greater than the radius , according as the point is within , on , or without the circle . Proof . For any point Q , within the cir- cle , lies on some radius , OQR . If S is without the circle , then the sect OS con- tains ...
... equal to , or greater than the radius , according as the point is within , on , or without the circle . Proof . For any point Q , within the cir- cle , lies on some radius , OQR . If S is without the circle , then the sect OS con- tains ...
Seite 10
... equal , each being equal to two radii . 78. Every diameter is bisected by the center of the circle . 79. No circle can have more than one center . For , if it had two , the diameter through them would have two mid points . Ө FIG . 31 ...
... equal , each being equal to two radii . 78. Every diameter is bisected by the center of the circle . 79. No circle can have more than one center . For , if it had two , the diameter through them would have two mid points . Ө FIG . 31 ...
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altitude angle equal angle-bisector angles opposite axis of symmetry bisects Brocard p't called cenquad circumcenter co-straight coincide common point concurrent concyclic congruent Construction Corollary corresponding diagonal diameter draw end point Engineering equal angles equal sects equal sides equiangular polygon explemental exterior angle figure g-line Geometry given p't given point given straight greater harmonic conjugates harmonic range inscribed inscribed angles intercept intersection point inversely isogonal isogonal conjugates Lemoine p't Lemoine point lune magnitude median mid p't mid point morocco opposite sides orthocenter parallel parallelogram pencil perigon perspective plane polar pole polygon Proof quad quadrant quadrilateral radius rectangle rhombus right angles rotation sect joining semicircle sides equal sphere spherical angle spherical polygon spherical triangle square st's straight angle supplemental symcenter symcentral symmedians symmetrical with regard symtra tangent Theorem third side transversal vertex vertices
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