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書籍 The middle points of the three diagonals of a complete quadrilateral are collinear... の書籍検索結果 9 件中 1 - 9 件目
" The middle points of the three diagonals of a complete quadrilateral are collinear... "
A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 5 ページ
John Casey 著 - 1882 - 158 ページ
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Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - 1866 - 506 ページ
...nine-points' circle of the triangle of reference. . .... (215) Apply tangential coordinates to shew that the middle points of the three diagonals of a complete quadrilateral are collinear. (216) The straight line joining the points Ip + mq + nr = 0, Tp + m'g + n'r = 0 is divided harmonically...

Elements of Quaternions

Arthur Sherburne Hardy - 1881 - 230 ページ
...joined ш succession. If PQRS is a parallelogram, the original quadrilateral is a parallelogram, 14. The middle points of the three diagonals of a complete quadrilateral are collinear. 15. If any quadrilateral be divided into two quadrilaterals by any cutting line, the centers of the...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

EUCLID. - 1883 - 96 ページ
...intersect on the line joining the middle points of the two diagonals, and will be bisected there. 8. The middle points of the three diagonals of a complete quadrilateral are collinear (ie, in the same straight line). Note. — The third diagonal of a quadrilateral is the line joining the points of intersection...

Elements of Projective Geometry

Luigi Cremona - 1885 - 302 ページ
...diagonal) lie in a straight line, the other three will also lie in a straight line. COROLLARY. The middle points of the three diagonals of a complete quadrilateral are collinear. * This theorem is due to MACLAUBIW and BBAIKENBIDGE (Phil. Trans., London, 1735). •(• PONCELET,...

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

JOHN CASEY - 1888
...QGH = i ABD - t ABC : hence, A PGH = i (ABC + BCD + ABD - ABC) = i quadrilateral ABCD. Cor. — The middle points of the three diagonals of a complete...diagonal; join S andP to the middle points G, H of the dia'-•--- Di gonals AC, BD ; then the As SGH, PGH, being each = i quadrilateral ABCD, arc = to one...

Proceedings of the Edinburgh Mathematical Society, 第 8 巻

Edinburgh Mathematical Society - 1890
...cutting off the triangle ABC required." The demonstration is omitted as unnecessary. The theorem is The middle points of the three diagonals of a complete quadrilateral are collinear. It was Carnot (Essai sur la théorie des transversales, 1806, g 6) who bestowed the name complete quadrilateral...

Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 ページ
...line and two other sides shall pass through two given points. XLVI. 1. Assuming XLV. 1, show that the middle points of the three diagonals of a complete quadrilateral are collinear, ie in the same straight line. 2. The perpendiculars through the middle points of the sides of a triangle ABC meet...

Calendar, 第 3 部

University of Calcutta - 1907
...the origin and the other is the point. -20 Find also the eccentricity of the conic. 5. Show that the middle points of the three diagonals of a complete quadrilateral are collinear. What ia the most general property of quadrilaterals that can be obtained from this by projection ?...

Proceedings of the Edinburgh Mathematical Society, 第 8 巻

Edinburgh Mathematical Society - 1890
...cutting off the triangle ABC required." The demonstration is omitted as unnecessary. The theorem is The middle points of the three diagonals of a complete quadrilateral are collinear. It was Caniot (Essai sur la the'orie des transversales, 1806, § 6) who bestowed the name complete...




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