| Oxford univ, exam. papers, 2nd publ. exam - 1879
...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
...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,... | |
| James Hamblin Smith - Euclid's Elements - 1879 - 349 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 - 400 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 - 207 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
...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 - 1880
...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 thacker - 1880
...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
...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.... | |
| Education Ministry of - 1880
...square on the radius of a circle which passes through its angular points. 2. The opposite angles ot **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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