 | 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
...CA, CB are tangents at A, B, and AD is' a diameter. Show that the angle ACB is twice the angle BAD. 3. The opposite angles of any quadrilateral figure...in a circle are together equal to two right angles. The lines bisecting any angle of the inscribed quadrilateral and the opposite extenor angle meet in... | |
 | 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...to the triangle is equal to four right angles. 211. A quadrilateral is inscribed in a circle : shew that the sum of the angles in the four segments of...to the quadrilateral is equal to six right angles. 212. Divide a circle into two parts so that the angle contained in one segment shall be equal to twice... | |
 | Bombay city, univ - 1880 - 754 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,...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... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 3. The opposite angles of any quadrilateral figure...in a circle are together equal to two right angles. 4. To describe a circle about a given square. 5. If the vertical angle of a triangle be bisected by... | |
 | Oxford univ, local exams - 1880 - 396 pages
...whole and one of the parts may be equal to the square on the other part. 2. Euclid III, IV, VI. 8. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
 | 1880 - 594 pages
...Therefore, squares on AC and BD = squares on BA, AD, AD, and DC, ie, on BA, AD, DC, and CB. SECTION IV. — The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Show that if two of the adjacent angles are right angles, the figure is a square, but that if two of... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
