 | Euclides - 1878 - 398 pages
...equiangular to each other. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure, i a circle, are together equal to two right angles. Let ABCD be a quadrilateral fig. inscribed in a 0 . Then must each pair of its opposite L s be together equal to two rt. L s. Draw... | |
 | 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... | |
 | 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,... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...one. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure, inscribed in a circh, are together equal to two right angles. Let ABCD be a quadrilateral fig. inscribed in a <•). Then must each pair of its opposite LS be together equal to two rt. L s.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...segment &c. QED PBOPOSITION 22. THEOREM. TlM opposite angles of any quadrilateral figure inscribed ^na circle are together equal to two right angles. Let...angles shall be together equal to two right angles. Join AC, BD. Then, because the three angles of every triangle are together equal to two right angles,... | |
 | 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 inscribed...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... | |
 | 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... | |
 | 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 - 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, 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... | |
 | 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.... | |
| |
The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
