Elementary Synthetic GeometryJ. Wiley & sons, 1896 - 164 Seiten |
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... figures . Putting pure spherics as Book II . is thus a beginning toward comparative geometry . Again , the non - Euclidean geometry has given the key to . the artificiality in Euclid's order of propositions . But it is approaching ...
... figures . Putting pure spherics as Book II . is thus a beginning toward comparative geometry . Again , the non - Euclidean geometry has given the key to . the artificiality in Euclid's order of propositions . But it is approaching ...
Seite 3
... figures . 14. Any figure may be looked upon as two coincident figures . Mathematical figures wholly lack impenetrability . 15. If we imagine a figure to move , we may also suppose it to leave behind its outline or trace . FIG . 6 . 16 ...
... figures . 14. Any figure may be looked upon as two coincident figures . Mathematical figures wholly lack impenetrability . 15. If we imagine a figure to move , we may also suppose it to leave behind its outline or trace . FIG . 6 . 16 ...
Seite 4
... figure with two points fixed can still be moved , and the whole figure partakes of the motion , except the straight through the two fixed points . Such motion is called revolution about this straight as axis . It may be continued until ...
... figure with two points fixed can still be moved , and the whole figure partakes of the motion , except the straight through the two fixed points . Such motion is called revolution about this straight as axis . It may be continued until ...
Seite 5
... figure so formed is a special case of the figure formed by two rays going out from the same point , called a bi - radial . 36. A bi - radial lies wholly in one plane . O B FIG . 13 . B α FIG . 14 . 37. One ray , a , of a bi - radial ...
... figure so formed is a special case of the figure formed by two rays going out from the same point , called a bi - radial . 36. A bi - radial lies wholly in one plane . O B FIG . 13 . B α FIG . 14 . 37. One ray , a , of a bi - radial ...
Seite 10
... figure connected with the circle about the center without changing the relation to the circle . 73. Circles which have the same center are called concentric .. 74. Concentric circles with a point in common coincide . FIG . 29 . D FIG ...
... figure connected with the circle about the center without changing the relation to the circle . 73. Circles which have the same center are called concentric .. 74. Concentric circles with a point in common coincide . FIG . 29 . D FIG ...
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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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