 | Education Ministry of - 1882 - 300 pages
...equal to the radius of a given circle, and parallel to a given diameter. 6. The opposite angles of a quadrilateral figure inscribed in a circle are together equal to two right angles. If two sides of a quadrilateral figure inscribed in a circle be parallel, the other sides will be equally... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...respectively ; BE, CD intersect in F: show that the triangle ADE is equal to three times the triangle DEF. 2. The opposite angles of any quadrilateral figure, inscribed in a circle, are together eqiial to two right angles. If the opposite sides of the quadrilateral be produced to meet in PQ and... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...whole angle BED. [Axiom 2. Wherefore, the angles in the same segment &c. QED PEOPOSITION 22. THEOREM. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Let A BCD be a quadrilateral figure inscribed in the circle A BCD : any two of its opposite angles... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...any one of the four angles at the centre is supplementary to that one which is not adjacent to it. 7. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. If from any point on the circumference of a circumscribing circle perpendiculars be drawn to the sides... | |
 | Education - 1885 - 630 pages
...Therefore GBC, EBG, FEE, DBF are each one-fifth of a right angle, and therefore ABD is the remaining fifth. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. If the opposite angles of any quadrilateral be together equal to two right angles, show that a circle... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...the difference of the squares on OA and OE is twice the difference of the squares on OB and OD. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. If any eight-sided figure be inscribed in a circle, show that the sum of either four alternate angles... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...for Class I will omit tiw 1st and 5th of the foregoing Questions, and work the following instead : a. The opposite angles of any quadrilateral figure, inscribed...in a circle are together equal to two right angles. b. Inscribe a circle in a given triangle. IF & II. M. ALGEBRA. Time, 1 hour, SO min • Exhibit the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...AED = twice angle ABD = angle AOD. Show also that B, E, O, C are concyclic. PROPOSITION 22. THEOREM. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Let A BCD be a quadrilateral inscribed in the 0 ABCD; any two of its opp. L s shall together equal... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...angles between these diagonals, then the area of the triangle is equal to that of the quadrilateral. 3. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 4. If ABC be a triangle, D, E, F the middle points of the sides, AL, BM, CN perpendiculars from the... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
