 | Robert Potts - Geometry - 1876 - 446 pages
...the squares on the diagonals of a parallelogram is equal to the sum of the squares on the sides. 11. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 12. The straight linns bisecting the Bides of a triangle at right angles meet in a point. 13. Construct... | |
 | Edward Harri Mathews - 1879 - 94 pages
...the whole line and on one of the parts shall be together double of the square on the other part. 4. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. If the chords, which bisect two angles of a triangle inscribed in a circle, be equal, prove that either... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...triangle, and AD, BE, 5. Describe a square which shall be equal to a given rectilineal figure. 6. Prove that the opposite angles of a quadrilateral inscribed...in a circle are together equal to two right angles. A circle is cut out of a sheet of paper and a triangle inscribed in it. The segments which lie outside... | |
 | George Shoobridge Carr - Mathematics - 1880
...circumference on the same arc. III. 21. — Angles in the same segment of a circle are equal. III. 22. — The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. III. 31. — The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...radius which shall touch internally a given circle at a given point. 3. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. If a circle be inscribed in a quadrilateral ABCD, show that the sum of the opposite sides AB and CD... | |
 | J. L. Robinson - Boats and boating - 1882 - 356 pages
...angle at the centre of a circle is double the angle at the circumference standing on an equal arc. (4) The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 48. There are three cases to be considered, viz. when the angle is right, acute, or obtuse. By Euc.... | |
 | 1885 - 522 pages
...straight lines can be drawn to the circle, that point is the centre of the circle. 8. The opposiie angles of a quadrilateral inscribed in a circle are together equal to two right angles. 9. From a point A without a circle whose centre is C a straight line ABCD is drawn cutting the circle... | |
 | George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...circumference on the same arc. III. 21. — Angles in the same segment of a circle are equal. III. 22. — The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. III. 31. — The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and... | |
 | Dalhousie University - 1886 - 216 pages
...be equivalent to f ; but if 1 were added to the denominator, it would be, in lowest terms, |. 1 1 . The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 12. If from the same external point a tangent and a secant to a circle be drawn, the square of the... | |
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The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. 
