| 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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...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... | |
| 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,... | |
| War office - 1858 - 578 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... | |
| Education - 1859 - 414 pages
...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... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...the two parts, together with twice the rectangle contained by the parts. 4. The opposite angles of a quadrilateral figure inscribed in a circle, are together equal to two right angles. 5. In a circle, the angle in a semicircle is a right angle, the angle in a segment greater than a semicircle... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...whole angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION 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 AB CD. Then any two of its opposite angles shall together... | |
| War office - 1861 - 714 pages
...parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle. 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. VOLUNTARY PORTION. 1. If two parallel planes be cut by another plane, their common sections with it... | |
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