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 Books Books 51 - 60 of 163 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 Solutions of the Problems and Riders Proposed in the Senate-House ...

William Walton, Bishop Charles Frederick Mackenzie - Mathematics - 1854 - 225 pages
...line thus produced and the part produced shall be equal to the square of the given straight line. 3. The opposite angles of any quadrilateral figure inscribed...a circle are to'gether equal to two right angles. If the opposite sides of the quadrilateral be produced to meet in P, Q, and about the triangles so... Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...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... The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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... The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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... Manual of method; for the use of teachers in elementary schools

W F. Richards - Education, Primary - 1856 - 184 pages
...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,... Cambridge examination papers: a suppl. to the University calendar, 1856-59

...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... Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 pages
...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... The English journal of education, ed. by G. Moody

George Moody - 1857
...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,... Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...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... 