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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

## 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

...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

...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...