 | 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
...equal to the whole angle BED. Wherefore the angles in the same segment, &c. UKD PROP. XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed...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... | |
 | Cambridge univ, exam. papers - 1854 - 284 pages
...whole 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...in a circle are together equal to two right angles. If the opposite sides of the quadrilateral be produced to meet in P, Q, and about the triangles so... | |
 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...In 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...in a circle are together equal to two right angles. If the opposite sides of the quadrilateral be produced to meet in P, Q, and about the triangles so... | |
 | Robert Potts - 1855 - 1050 pages
...described upon the other two sides of it; the angle contained by these two sides is a right angle. 4. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. ' 3. ABC is a triangle having a right angle at C. Points I) and E are taken in the base so that AD... | |
 | Euclides - 1856 - 168 pages
...CAD, CED are equal ; therefore, the whole angle BAD is equal to the whole BED. LXL— EUCLID III. 22. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Let A BCD (Fig. 50) be a quadrilateral figure in the circle ABCD, any two of its opposite angles are... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...distant from the centre, and conversely those which are equally distant from the centre are equal. • 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 3. If two lines intersect each other either within or without a circle, and also intersect the circle,... | |
 | Henry Latham - 1857 - 390 pages
...Merchandise account." FRIDAY, Dec. 17, 1858. 9 to 12. II. 7. $ure Jilatl)etnatics. (HIGHER PAPER.) 1. THE opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. If segments of a circle be described with the same radius on the three sides of a triangle, shew that... | |
 | Education - 1857 - 1266 pages
...of half the line and the line made up of the half and the part produced. 2. The opposite angles of a quadrilateral figure, inscribed in a circle, are together equal to two right angles. 3. If from a point without a circle a straight line be drawn to touch and another to cut the circle,... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
