| 1884
...GEOMETRY. Nine propositions from each of the 6 books of Euclid are given with riders upon them — e. g: 4. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** Prove the converse of this proposition. 6. To inscribe a circle in a given triangle. Describe a circle... | |
| Education - 1906
...draw a straight line OPQ to cut the circle at two points P and Q, so that OP shall be equal to PQ. 11. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 12. If I be the center of the circle inscribed in the triangle ABC, prove that the centers of the three... | |
| British Columbia. Superintendent of Education - 1897
...centre; and conversely, those which are equally distant from the centre are equal to one another. 5. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 6. From a given circle to cut off a segment, which shall contain an angle equal tii a given rectilineal... | |
| University of St. Andrews - 1900
...difference of the squares on AE, BE is three times the difference of the sqiiares on CE, DE. 10. Prove that **the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** The quadrilateral ABCD is inscribed in a circle and two of its opposite sides AB and CD are parallel... | |
| Great Britain. Parliament. House of Commons - Legislation - 1861
...line from a given point, either without or in the circumference, which shall touch a given circle. 8. **The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles.** 9. If from auy point without a circle two straight lines be drawn, one of which cuts the circle, and... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1863
...; and, of all others, that which is nearer to the centre is always greater than one more remote. 8. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** A circle cannot be described about a rhombus. 9. If from a point without a circle there be drawn two... | |
| Cowley Oxon, dioc. school - 1860
...centre of a given circle. 8. The angles in the same segment of a circle are equal to one another. 9. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 10. Inscribe a circle in a given triangle. 11. Describe an isosceles triangle having each of the angles... | |
| Great Britain. Committee on Education - Schools - 1850
...the whole and one of the parts may be equal to the MJHIR of the other part. 4. Prove Euc. III. 22. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 5. Solve Euc. IV. 6. To inscribe a square in a given circle. 6. Prove Euc. V. 5. If one magnitude be... | |
| Education Department - 1879
...circle and pass through a given point. Show that more than one such circle can generally be drawn. 4. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** Two equilateral triangles are upon the same base, but upon opposite sides of it ; a circle passes through... | |
| University of Bombay - 1904
...А.И. то 1 т.н.] EUCLID AND GEOMETBICAL CONIC SECTIONS. 1. The opposite angles of a quadrilater **figure inscribed in a circle are together equal to two right angles.** To what does this proposition reduce when two of the angular points of the quadrilateral coincide ï... | |
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