 | Robert Potts - Geometry - 1876 - 446 pages
...circle. What is the magnitude of this angle, in order that the circle may be double the original ? 8. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. What relation must exist between the sides of a quadrilateral in order that a circle may be inscribed... | |
 | Education Department,London - 1876 - 1010 pages
...В are tangents at A, B, and AD is a diameter. Shew that the angle AC В is twice the angle BAD. 3. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. The lines bisecting any angle of the inscribed quadrilateral and the opposite exterior angle meet in... | |
 | H. Loehnis - 1876 - 652 pages
...bo equal to a given rectilineal figure. ADDITIONAI, GEOMETRY. 7. Prove that the opposite angles of a quadrilateral figure inscribed in a circle are together equal to two right angles. When can a parallelogram be inscribed in a circle ? 8. Rectangles of the same altitude are one to another... | |
 | Edward Atkins - 1876 - 130 pages
....'. ^ BAD = i. BED. i BAC = /: EEC, and i CAD = ^ CED. .-. i BAD = ^ UED. Proposition 22.— Theorem. The opposite angles of any quadrilateral figure inscribed in a circle are togetlier equal to two right angles. Let ABCD be a quadrilateral figure inscribed in the circle ABCD.... | |
 | D. Tierney - 1877 - 126 pages
...straight line which joins their centres being produced, shall pass through that point of contact. 7. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. From the point C, the straight lines CA and CB are drawn touching the circle PAB whose centre is O... | |
 | Āryabhaṭa - 1878 - 100 pages
...eirck from a point, cither within its circumference or without it. PROP. XLI. TIIEOREM. (E. 3. 22). The opposite angles of any quadrilateral figure inscribed...in a circle, are together equal to two right angles and conversely if the opposite angles of a quadrilateral figure are together equal to two right angles,... | |
 | Edward Harri Mathews - 1879 - 94 pages
...diagonals are parallel to the sides of the parallelogram, and equal to the difference between them. 2. The opposite angles of any quadrilateral figure inscribed...a circle are together equal to' two right angles. Two triangles are formed by lines drawn through the points A, B, C perpendicular to the lines AB, BC,... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...circumference, that point is the centre of the circle. 9. Describe a circle about a given square. 10. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 2. EXAMINATION FOB CLASSICAL HONOURS. w I. THE FOUR GOSPELS. 1. Translate: — (l) Kai its rjv 8' av... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...double of the square on half the line and of the square on the line between the points of section. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Prove that the converse proposition is also true. If in any quadrilateral the diagonals are equal to... | |
 | Bombay city, univ - 1880 - 750 pages
...rectangle contained by the sum and difference of two lines is equal to the difference of their squares. 3. The opposite angles of any quadrilateral figure, inscribed...a circle, are together equal to two right angles. ABC is an isosceles triangle, A being the vertex. In AB a point D is taken and in AC a point E, so... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
