Elementary Synthetic GeometryJ. Wiley & Sons, 1893 - 164 Seiten |
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Seite 121
... harmonic range ; C and D are harmonic conjugates with respect to A and B : AC , AB , AD are said to be in harmonic progression ; and AB is said to be a harmonic mean between AC and AD . Thus we have proved ( 479 ) that if C and D are ...
... harmonic range ; C and D are harmonic conjugates with respect to A and B : AC , AB , AD are said to be in harmonic progression ; and AB is said to be a harmonic mean between AC and AD . Thus we have proved ( 479 ) that if C and D are ...
Seite 128
... harmonic conjugates and q to s of these pencils . But also q [ ASC ] is per- spective with r [ FSE ] to pro- jection ... harmonic conjugates R , Q of S on EF and AC , and we have just proved in [ 571 , ] the opposite ver- tices BD of the ...
... harmonic conjugates and q to s of these pencils . But also q [ ASC ] is per- spective with r [ FSE ] to pro- jection ... harmonic conjugates R , Q of S on EF and AC , and we have just proved in [ 571 , ] the opposite ver- tices BD of the ...
Seite 135
... harmonic range form a harmonic pencil . FIG . 255 . 592 ' . The poles of the four straights of a harmonic pencil form a harmonic range . Proof . Let P be the pole of the straight ACBD with respect to 0. Of A , C , B , D , the polars PA ...
... harmonic range form a harmonic pencil . FIG . 255 . 592 ' . The poles of the four straights of a harmonic pencil form a harmonic range . Proof . Let P be the pole of the straight ACBD with respect to 0. Of A , C , B , D , the polars PA ...
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Häufige Begriffe und Wortgruppen
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 Corollary corresponding diameter draw end point equal angles equal sects equal sides equiangular polygon explemental exterior angle figure g-line 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 meet mid p't mid point opposite sides orthocenter parallel parallelogram perigon perspective plane point in common 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 symcentral symmedians symmetrical with regard symtra tangent Theorem third side transversal vertex vertices