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 書籍 Any line cutting a circle, and passing through a fixed point, is cut harmonically... の書籍検索結果 6 件中 1 - 6 件目 Any line cutting a circle, and passing through a fixed point, is cut harmonically by the circle^ the point •, and the polar of the point. Let D be the point... A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 91 ページ
John Casey 著 - 1882 - 158 ページ ## A treatise on spherical trigonometry, by W.J. M'Clelland and T. Preston, 第 2 部

William John M'Clelland - 1886
...self-reciprocal triangle. 153. Theorem. — Any secant drawn through a fixed point across a small circle is cut harmonically by the circle, the point, and the polar of the point with respect to the circle. Let a secant through O (fig. 57) meet the circle in M and N, and the polar... ## A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1886 - 224 ページ
...the reciprocals of lines in arithmetical progression are in harmonical progression. Prop. 4. — Any line cutting a circle, and passing through a fixed point, is cut harmonically oy the circle, the point, •and the polar of the point. Let D be the point, EE its polar, DGH a line... ## A SEQUEL TO THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID

JOHN CASEY - 1888
...the reciprocals of lines in arithmetical progression are in harmonical progression. Prop. 4. — Any line cutting a circle, and passing through a fixed...•, and the polar of the point. Let D be the point, EE its polar, DGH a line cutting the O in the points G and H, and the polar of D in the point J; then... ## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 ページ
...four polars form a pencil which is equiangular with the pencil (O.ABCD) and therefore harmonic. 56'. A line cutting a circle and passing through a fixed...the circle, the point, and the polar of the point. Hint. — Let P be the fixed point, LC its polar, and PM the line cutting the circle. Since PO.PC=PA.PB... ## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 ページ
...four polars form a pencil which is equiangular with the pencil (O.ABCD) and therefore harmonic. 56. A line cutting a circle and passing through a fixed...the circle, the point, and the polar of the point. Hint. — Let P be the fixed point, LC its polar, and PM the line cutting the circle. Since PO.PC—PA.PB... ## modern geometry

...harmonically. THEOREM 31. If a strajght line is drawn through any point to cut a circle, the line is divided harmonically by the circle, the point and the polar of the point with respect to the circle. fig. 86. Let T be the point, TRHS the line cutting the circle at R, S and...