 | Great Britain. Committee on Education - 1850 - 942 pages
...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 - 912 pages
...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... | |
 | Education - 1851 - 502 pages
...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 - 196 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 James Jameson - Mathematics - 1851 - 144 pages
...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 - 470 pages
...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 - 146 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...segment, etc. QED PROPOSITION XXII. THEOR. The opposite angles of any quadrilateral figure inscriled in a circle, are together equal to 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. Join AC,... | |
 | Euclides - Geometry - 1853 - 334 pages
...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 - 284 pages
...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... | |
| |
The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
