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 Books Books 81 - 90 of 160 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 Recent military, naval, and civil service examination papers in mathematics ...

1874
...the centre, it shall cut it at right angles ; and if it cut it at right angles it shall bisect it. 6. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. From the point A in the circumference of the circle APQB three chords AP, AQ, and AB are drawn so that... University Calendar

...line AB in C so that the rectangle contained by AC, CB may be twice the square on AC. II. Provp that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Also state and prove the converse of this proposition. III. Inscribe a circle in a given triangle.... Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

James Bryce - 1874
...III. 22).— Hence also if a quadrilateral figure be inscribed in a circle, its two opposite angles are together equal to two right angles. Let ABCD be a quadrilateral figure inscribed in a circle, any two of its opposite angles are together equal to two right angles. Join the centre 0... Examination Christmas,1875

...В are tangents at A, B, and AD is a diameter. Shew that the angle AC В is twice the angle BAD. 3. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. The lines bisecting any angle of the inscribed quadrilateral and the opposite exterior angle meet in... Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...<fee. QED mid also = 2 i BED. .'. ^ BAD = i. BED. i BAC = /: EEC, and i CAD = ^ CED. .-. i BAD = ^ UED. Proposition 22.— Theorem. The opposite angles of...any quadrilateral figure inscribed in a circle are togetlier equal to two right angles. Let ABCD be a quadrilateral figure inscribed in the circle ABCD.... Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt ..., Volume 2, Part 2

H. Loehnis - 1876
...bo equal to a given rectilineal figure. ADDITIONAI, GEOMETRY. 7. Prove that the opposite angles of a quadrilateral figure inscribed in a circle are together equal to two right angles. When can a parallelogram be inscribed in a circle ? 8. Rectangles of the same altitude are one to another... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 403 pages
...to the whole angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, art together equal to twu right angles. Let ABCD be a quadrilateral figure in the circle ABCD. Then... Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...straight line which joins their centres being produced, shall pass through that point of contact. 7. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. From the point C, the straight lines CA and CB are drawn touching the circle PAB whose centre is O... The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...eirck from a point, cither within its circumference or without it. PROP. XLI. TIIEOREM. (E. 3. 22). The opposite angles of any quadrilateral figure inscribed...in a circle, are together equal to two right angles and conversely if the opposite angles of a quadrilateral figure are together equal to two right angles,... 