| Great Britain. Privy Council. Committee on Education - 1850
...the whole and one of the parts may be equal to the squire of the other part. 4. Prove Euc. III. 22. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 4. Solve Euc. IV. 6. To inscribe a square in a given circle. 6. Prove Euc. V. 5. If one magnitude be... | |
| Her MAjesty' Inspectors of schools - 1850
...upon equal bases, and between the same parallels, ore equal to one another. 4. Prove Euc. III. 22. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 6. Prove Euc. V. 5. If one magnitude be the same multiple of another which a part taken from the first... | |
| George Moody - 1851
...with the square of the line between the points of section, is equal to the square of half the line. 3. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 2. To describe a square that shall be equal to a given rectilineal figure. SECTION III.—1. In a circle... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...shew that four times the sum of the squares of BE and CF is equal to five times the square of BC. 3. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together... | |
| FRANCIS J. JAMESON - 1851
...subtended by BD at the centre = 2ZBCD. Therefore zAOC + zBOD =* 2zEBC + 2/ECB, = 2ZAEC. 1851. (A). **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles,** (in. 22.) (jB). If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate... | |
| Charles Astor Bristed - 1852
...incidence. MISCELLANEOUS QUESTIONS. TRINITY COLLEGE. June, 1843. four Hours. 1. THE opposite angles of a **quadrilateral figure inscribed in a circle are together equal to two right angles.** 2. If there be any number of equal ratios a : b = a, : 6[ = a* : b^, ifec., each of them is equal to... | |
| Euclides - 1853
...BAD is equal to the whole angle BED. Wherefore the angles in the same segment, &c. UKD PROP. XXII. **THEOREM. The opposite angles of any quadrilateral...two right angles. Let ABCD be a quadrilateral figure** in the circle ABCD; any two of its opposite angles are together equal to two right angles. 1) Join... | |
| Euclides - 1853
...proved. PEOP. XXII. THEOE. The opposite angles of any quadrilateral figure inscribed in a circle shall he **together equal to two right angles. Let ABCD be a quadrilateral figure inscribed in the circle** ABC. Then each pair of its opposite angles shall be equal to two right angles. I. The opposite angles... | |
| Cambridge univ, exam. papers - 1854
...Euclid's figure, the rectangle contained by CF and FA is proved to be equal to the square on CA. 3. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** If the opposite sides of the quadrilateral be produced to meet in P, $, and about the triangles so... | |
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