 | Cambridge univ, exam. papers - 1854 - 284 Seiten
...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... | |
 | Robert Potts - 1855 - 1050 Seiten
...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 - 270 Seiten
...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 - 168 Seiten
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 Seiten
...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 - 1856 - 198 Seiten
...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 Seiten
...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... | |
 | 1857 - 1266 Seiten
...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 Seiten
...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... | |
 | 1859 - 414 Seiten
...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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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
