| William Walton, Bishop Charles Frederick Mackenzie - Mathematics - 1854 - 225 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... | |
| Robert Potts - 1855
...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 - 1855
...that straight line is a chord. PROP. XXII. THEOREM. The opposite angles of any quadrilateralßgure **inscribed in a circle, are together equal to two right angles. Let** AB СD be a quadrilateral figure in the circle AB СD. Any two of its opposite angles are together... | |
| Euclides - 1856
...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...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 together... | |
| W F. Richards - Education, Primary - 1856 - 184 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,... | |
| Cambridge univ, exam. papers - 1856
...equal angles stand upon equal circumferences whether they be at the centres or the circumferences. 11. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** Two opposite sides of a quadrilateral figure are together equal to the other two and each of its angles... | |
| Henry Latham - 1857 - 59 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... | |
| George Moody - 1857
...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,... | |
| War office - 1858 - 12 pages
...between the same parallels are equal to one another. VOLUNTARY PORTION. 1. The opposite angles of a **quadrilateral figure, inscribed in a circle, are together equal to two right angles.** 2. An equilateral triangle is inscribed in a circle, and from any point of the circumference lines... | |
| E. D. Bourdillon - Education and state - 1859
...line into two such parts that their rectangle may be the greatest possible. 8. The opposite tingle **of any quadrilateral figure inscribed in a circle are together equal to two right angles.** 9. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and... | |
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