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 書籍 To describe an isosceles triangle, having each of the angles at the base double of... の書籍検索結果 To describe an isosceles triangle, having each of the angles at the base double of the third angle. Report of Her Majesty's Civil Service Commissioners: Together with Appendices - 537 ページ
1878 ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...extremities of the other three, and be described about the square ABCD QEF PROPOSITION 10. — Problem. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Construction. Take any straight line AB, and divide it in the point C (II. 11), so that the rectangle... ## Euclidian Geometry

Francis Cuthbertson - 1874 - 349 ページ
...remainder CR, but GC is the square on PC and CJtis = rectangle PQ, QC, foiQRis = PQ; PROBLEM C. To describe an isosceles triangle having each of the angles at the base double of the angle at the vertex. Take any straight line AB and divide it in C, so that rectangle AB, BC may be... ## Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - 1876 - 236 ページ
...is a right angle, and therefore the segments intersect on a circle described on OC as diameter. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. Prove that the circle drawn through the middle points of the sides of this triangle will intercept... ## The Madras University Calendar, 第 1 巻

...by twice the square of the line which is drawn from A to touch the circle on BC as diameter. V. To describe an isosceles triangle having each of the angles at the base double of the third angle. VI. In any right angled triangle, any rectilineal figure described upon the side subtending the right... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 ページ
...two right angles. Deduce — The angle in a semicircle is a right angle. (Prop. 31 Bk. IH ) 10. To describe an isosceles triangle having each of the angles at the base double of the third angle. A tangent to a circle is drawn at an angular point of an inscribed regular pentagon, and a side produced... ## Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt. With] Anhang, 第 2 巻、第 2 部

H. Loehnis - 1876
...test of proportion. 9. Find a mean proportional between two given straight lines. HIQHEB GEOMETRY. 10. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 11. If any straight line ABCD meet four fixed concurrent straight linos Oo, 0/3, Of, OS, in the points... ## Examination Christmas,1875

...they will not be in the same straight line. SECTION V. 1. To describe an isosceles triangle, Laving each of the angles at the base double of the third angle. Inscribe in a given circle a triangle whose largest angle shall be eight times either of the other... ## Elementary Trigonometry

James Hamblin Smith - 1877 - 228 ページ
...ralv,» for an <IMJ/€ qflff. Take the figure and construction used by Eucl. iv. 10 in describing an isosceles triangle having each of the angles at the base double of the third angle. Hence LBAD=\ot 2 rt. L' = \ of IS0^se°. 6 6 Bisect BAD by AE, which will bisect BD at right angles.... ## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 ページ
...centre is greater than the one more remote. 3. If through the angles of an isosceles triangle which has each of the angles at the base double of the third angle, and is inscribed in a circle, straight lines be drawn touching the circle ; show that an isosceles... ## Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...any two opposite sides of the square subtends a right angle at the centre of the circle. 7. Construct an isosceles triangle, having each of the angles at...double of the third angle. If ABC be such a triangle, where A is the less angle, and if from A AD be drawn, so that the angle CAD is equal to the angle CAB,...