| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...line thus produced and the part produced shall be equal to the square of the given straight line. 3. The opposite angles of any quadrilateral figure inscribed...a circle are to'gether equal to two right angles. If the opposite sides of the quadrilateral be produced to meet in P, Q, and about the triangles so... | |
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