Libros Libros
The diagonals of a quadrilateral intersect at right angles. Prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair.
Proceedings of the Edinburgh Mathematical Society - Página 50
por Edinburgh Mathematical Society - 1894
Vista completa - Acerca de este libro

Elements of geometry, with ... trigonometry

André Darré - 1872
...which the sum of two opposite angles is 180°. 23. When a quadrilateral is described about a circle the sum of one pair of opposite sides is equal to the sum of the other pair. SECTION III. PROPORTIONAL LINES. 76. WHEN a line AB (Fig. 67) has been added to itself several times...
Vista completa - Acerca de este libro

Plane trigonometry. Key

Isaac Todhunter - 1874
...Article 254. Here s = 7, °-a=4, sb=4, sc=3, sd=3. Thus the area=^/^x"4 x 3 x 3 = 12. Since the sum of a pair of opposite sides is equal to the sum of the other pair, a circle may be inscribed in the quadrilateral. Let p denote the radins of this inscribed circle ;...
Vista completa - Acerca de este libro

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 182 páginas
...Ex. 281. If the diagonals of a quadrilateral cut each other at right angles, the sum of the squares of one pair of opposite sides is equal to the sum of the squares of the other pair. Ex. 282. In a rhombus the sum of the squares of the two diagonals is equal...
Vista completa - Acerca de este libro

Report of Her Majesty's Civil Service Commissioners, Together ..., Volumen24

...the line which touches the circle. Prove that if a quadrilateral be described about a circle, then the sum of one pair of opposite sides is equal to the sum of the other pair. (a.) CHEMISTRY. (NB — Of the seven subjects a, b, c, d, e,f, g, two are obligatory.) Time allowed,...
Vista completa - Acerca de este libro

Text-book of Elementary Plane Geometry ...

Julius Petersen - 1880 - 73 páginas
...quadrilateral the diagonals are at right angles to each other. Prove that the sum of the squares on the one pair of opposite sides is equal to the sum of the squares on the other pair. 148. A circle passes through the centre C of another circle and touches...
Vista completa - Acerca de este libro

Text-book of elementary plane geometry, tr. by R. Steenberg

Julius Petersen - 1880
...quadrilateral the diagonals are at right angles to each other. Prove that the sum of the squares on the one pair of opposite sides is equal to the sum of the squares on the other pair. 148. A circle passes through the centre C of another circle and touches...
Vista completa - Acerca de este libro

Elements of Geometry

Simon Newcomb - 1881 - 399 páginas
...arc BD - \ angle arc CA. QED THEOREM XXIII. 249. If a quadrilateral ~be circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair. Hypothesis. ABCD, a quadrilateral touching a circle in the points P, Q, R, S. Conclusion. AB + CD =...
Vista completa - Acerca de este libro

Geometrical Exercises for Beginners

Samuel Constable - 1882 - 203 páginas
...vertex to the base : construct it. 34. If a quadrilateral circumscribe a circle, prove that the sura of one pair of opposite sides is equal to the sum of the other pair. 35. Draw a straight line cutting two given circles, so that the intercepted chords shall each be of...
Vista completa - Acerca de este libro

The elements of plane geometry, Volumen1

Mathematical association - 1884
...33. The diagonals of a quadrilateral intersect at right angles : shew that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair. *34- ABC is an equilateral triangle and AD is perpendicular to BC : shew...
Vista completa - Acerca de este libro

The Elements of Plane Geometry ...

...33. The diagonals of a quadrilateral intersect at right angles : shew that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair. *34. ABC is an equilateral triangle and AD is perpendicular to BC : shew...
Vista completa - Acerca de este libro