Books Books 121 - 130 of 147 on The opposite angles of any quadrilateral figure inscribed in a circle, are together.... The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Pure Mathematics - Page 273
1874 ## Calendar, for the Year ...

1899
...section. Given the sum of two straight lines find when the sum of the squares on them is least. 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Conversely, if the opposite angles of any quadrilateral be together equal to two right angles, a circle... ## Report of the Department of Education for the Year ...

...squares on the medians of a triangle is •equal to three times the sum of the squares on its sides. 7. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles: The four bisectors of the interior angles of any quadrilateral form a quadrilateral which can be inscribed... ## Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education, Sir Michael Sadler, C. C. Cotterill - Boys - 1900 - 531 pages
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line JffPN is drawn terminated by the circles at... ## Special Reports on Educational Subjects, Volumes 6-7

Education - 1900
...that the difference of the squares on AD and . AC is equal to the rectangle contained by BD and CD. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line MPN is drawn terminated by the circles at... ## Sessional Papers, Volume 22, Part 2

...that the difference of the squares on AD and AC is eqiial to the rectangle contained by ED and CD. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line MPN is drawn terminated hv the circles at... ## A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV.

Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1900 - 304 pages
...vertical angles is an arc of a circle. PKOPOSITION 22. THEOREM. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral inscribed in the 0 ABC. Then shall (i) the L? ADC, ABC together = two rt. angles ; (ii) the L' BAD,... ## Annual Report of the Commissioners ..., Volume 71

...circumference of a circle cannot cut that of another circle iu more than two points. 4. Prove that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 5. Inscribe a circle iu a given triangle. SECTION B. 6. Through a given point draw a line such that... ## A School Geometry, Parts 1-4

Henry Sinclair Hall - Geometry - 1908 - 138 pages
...angle BAC by a right angle. THEOREM 40. [Euclid III. 22.] The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral inscribed in the OABC. It is required to prove that (i) the /." ADC, ABC together = two rt. angles.... ## Educational Review ..., Volume 31

Education - 1906
...draw a straight line OPQ to cut the circle at two points P and Q, so that OP shall be equal to PQ11. 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... 