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書籍 Two points, such as A and B, which possess the property that the polar of either... の書籍検索結果 7 件中 1 - 7 件目
" Two points, such as A and B, which possess the property that the polar of either passes through the other, are called conjugate points with respect to the circle, and their polars are called conjugate lines. Prop. "
A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 45 ページ
John Casey 著 - 1882 - 158 ページ
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A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1886 - 224 ページ
...conjugate points with respect to the circle, and their polars are called conjugate lines. Prop. 26. — If two circles cut orthogonally, the extremities of any...D are conjugate points with respect to the O ABF. Dem. — Let 0 be the centre of the O ABF. Join 00, intersecting the O CED in E. Join ED, and produce...

A SEQUEL TO THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID

JOHN CASEY - 1888
...conjugate points with respect to the circle, and their polars are called conjugate lines. Prop. 26. — If two circles cut orthogonally, the extremities of any...conjugate points with respect to the other. Let the Os be ABE and CED, cutting orthogonally in the points A, B ; let CD be any diameter of the O CED ; C and...

Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - 1889 - 294 ページ
...sides of A'B'C' collinearly. 270°. Theorem.— -If two circles intersect orthogonally, the end-points of any diameter of either are conjugate points with respect to the other. Let the circles S and S' intersect orthogonally, and let PQ be a diameter of circle S'. Then P' is inverse...

Geometrical Exercises in Paper Folding

Tandalam Sundara Rao - 1893 - 114 ページ
...quadrilaterals ABFH and ABGK are such circles. AF and AG are diameters of the respective circles. Hence if two circles cut orthogonally the extremities of any...either are conjugate points with respect to the other. 45. The points 0, A, H and K are concyclic. H, A, K -being inverses of points on the line FBG, the...

An Elementary Treatise on Modern Pure Geometry

Robert Lachlan - 1893 - 288 ページ
...circle PAQ cuts the given circle orthogonally. 261. Ex. 1. If two circles cut orthogonally, show that the extremities of any diameter of either are conjugate points with respect to the other. Ex. 2. If a system of circles be drawn to cut a given circle orthogonally, show that the polars with...

ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE

N. F. DUPUIS, M.A., F.R.S.C. - 1894
...sides of A'B'C' collinearly. 270°." Theorem. — If two circles intersect orthogonally, the end-points of any diameter of either are conjugate points with respect to the other. Let the circles S and S' intersect orthogonally, and let PQ be a diameter of circle S'. Then P' is inverse...

Calendar

University of St. Andrews - 1900
...point P, and construct it geometrically. If two circles cut orthogonally, the extremities P and Q, of any diameter of either, are conjugate points with respect to the other — ie, the polar of P passes through Q. 2. ABC is a triangle, and 0' is its ortho centre ; the circle...




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