Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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... Pole and Polar with respect to a Circle , VII . Cross Ratio , • • BOOK VIII . RECENT GEOMETRY , CHAPTER I. Anti - parallels , Isogonals , Symmedians , II . The Brocard Points , · 117 SECTIONS . 522-533 534-550 • 551-564 565-572 573-581 ...
... Pole and Polar with respect to a Circle , VII . Cross Ratio , • • BOOK VIII . RECENT GEOMETRY , CHAPTER I. Anti - parallels , Isogonals , Symmedians , II . The Brocard Points , · 117 SECTIONS . 522-533 534-550 • 551-564 565-572 573-581 ...
Seite 61
... . The whole angle about a point in the sphere , that is , the angle described by a sect rotating until it coincides with its trace , is called a perigon ; the whole arc is called a circle . 62 The fixed end point is called a pole of.
... . The whole angle about a point in the sphere , that is , the angle described by a sect rotating until it coincides with its trace , is called a perigon ; the whole arc is called a circle . 62 The fixed end point is called a pole of.
Seite 62
... poles , which are opposite points , and its spherical radius to one pole is the supple- ment of that to the other . 335. A spherical figure made by two half g - lines intersecting in opposite points , is called a lune . PRIMARY CONCEPTS ...
... poles , which are opposite points , and its spherical radius to one pole is the supple- ment of that to the other . 335. A spherical figure made by two half g - lines intersecting in opposite points , is called a lune . PRIMARY CONCEPTS ...
Seite 67
... pole of a circle passing through its end points . For AB ; axis CD ; .. CA = CB . Thus sects from any point on its ... pole . 365. Two circles with three points in common coincide . 366. One spherical radius , of every circle on the ...
... pole of a circle passing through its end points . For AB ; axis CD ; .. CA = CB . Thus sects from any point on its ... pole . 365. Two circles with three points in common coincide . 366. One spherical radius , of every circle on the ...
Seite 68
George Bruce Halsted. 369. While the q - pole - sect is growing , from equality with the difference of the q - radii , up to equality with their sum , the two circles have always two common points , symmetrical with regard to their pole ...
George Bruce Halsted. 369. While the q - pole - sect is growing , from equality with the difference of the q - radii , up to equality with their sum , the two circles have always two common points , symmetrical with regard to their pole ...
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altitude angle equal angle-bisector angles opposite axis of symmetry bisects Brocard p't BROCARD POINTS called cenquad circumcenter co-straight coincide common point concurrent concyclic congruent Construction Corollary corresponding cross ratio diagonal diameter draw end point Engineering equal angles equal sects equal sides equiangular polygon EXERCISES ON BOOK explemental exterior angle figure g-line Geometry given p't given point given straight greater harmonic conjugates harmonic range inscribed 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 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 triangle square st's straight angle supplemental symcentral SYMMEDIANS symmetrical with regard symtra tangent Theorem third side transversal vertex vertices
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