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" The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 40
by Euclides - 1840
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...whole and one of the parts may be equal to the square on the other part. 2. Euclid III, IV, VI. 8. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle....
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 3. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 4. To describe a circle about a given square. 5. If the vertical angle of a triangle be bisected by...
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Papers for teachers

1880 - 594 pages
...Therefore, squares on AC and BD = squares on BA, AD, AD, and DC, ie, on BA, AD, DC, and CB. SECTION IV. — The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Show that if two of the adjacent angles are right angles, the figure is a square, but that if two of...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...square on the radius of a circle which passes through its angular points. 2. The opposite angles ot any quadrilateral figure inscribed in a circle are together equal to two right angles. Show that if two of the adjacent angles are right angles, the figure is a square, but that if two of...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...are in the circumference of a circle, of which that straight line is a chord. PROP. XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD. Any two of its opposite angles are together...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...any point, the straight line which joins their centres shall pass through the point of contact. 11. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 12. Describe a circle about a given triangle. 13. Enunciate those geometrical definitions which are...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...shall cut it at right angles ; and conversely, if it cut it at right angles, it shall bisect it. 8. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 9. From a given circle to cut off a segment which shall contain an angle equal to a given rectilineal...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 4>. Define the terms figure, polygon, rectangle, circle inscribed in a rectilineal figure, rectilineal...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...equal to three times the square on the radius of a circle which passes through its angular points. 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Show that if two of the adjacent angles are right angles, the figure is a square, but that if two of...
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The Competitor, Volumes 1-2

1882 - 480 pages
...upon the sides which contriu the right angle. Euclid, Book I., Prop. 47. 3. (a) The opposite angles oi any quadrilateral figure inscribed in a circle are together equal to two right angles. (4) Show that a circle cannot be described about any parallelogram which is not rectangular. (a) Euclid,...
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