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" Compare the area of the triangle formed by joining the centres of these squares with the area of the equilateral triangle. "
Proceedings of the Edinburgh Mathematical Society - Page 34
by Edinburgh Mathematical Society - 1894
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...about a given circle. 100. On the sides of an equilateral triangle three squares are described. Compare the area of the triangle formed by joining the centres of these squares with the area of the equilateral triangle. 101. If three equal circles touch each other; to...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851
...given Iog2 = .30103. '278. On the sides of an equilateral triangle three squares are described. Compare the area of the triangle formed by joining the centres of these squares with the area of the equilateral triangle. 279. From the values of BD and sinA in (116), obtain...
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First book on plane trigonometry, comprising geometrical trigonometry

George Wirgman Hemming - 1851
...(cot a ,- cot /3). 4. On the sides of an equilateral triangle, three squares are described. Compare the area of the triangle formed by joining the centres of these squares with that of the equilateral triangle. 5. If R, r be the radii of the circles described N about...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 pages
...ABE). Cos 2 (A + B). 8. On the sides of an equilateral triangle three squares are described. Compare the area of the triangle formed by joining the centres of these squares with the area of the equilateral triangle. Friday, April 7th. FIBST AND SECOND CLASSES. Footprints,...
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General Report on Public Instruction in the Bengal Presidency

Education - 1855
...ABE). Cos2 (A + B). 8. On the sides of an equilateral triangle three squares are described. Compare the area of the triangle formed by joining the centres of these squares with the area of the equilateral triangle. Friday, April 7(h. FIHST AND SECOND CLASSES. Footprints,...
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Plane Trigonometry ...

Isaac Todhunter - 1860
...the sides BC, CA, AB ; and circles are described about the triangles PA'ff, PEC', PC? A'. Shew that the area of the triangle formed by joining the centres...circles is one-fourth of the area of the triangle ABC. 42. Three circles touch each other externally; prove that the square of the area of the triangle formed...
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Plane and Spherical Trigonometry, Part 1

Henry W. Jeans - 1873 - 272 pages
...a2c2 + 62c2. [l0Oa]. On the' sides of an equilateral triangle three squares are described. Show that the area of the triangle formed by joining the centres of these squares=area equilateral triangle x [101 a]. A fleet of steam- vessels, under the command of an admiral,...
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Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873
...a2c2 + 62c2. [100a]. On the sides of an equilateral triangle three squares are described. Show that the area of the triangle formed by joining the centres of these squares=area equilateral triangle [101a]. A fleet of steam- vessels, under the command of an admiral,...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1874 - 360 pages
...the sides BC, С A, AB; and circles are described about the triangles PA'B1, PffC', PC' A'. Shew that the area of the triangle formed by joining the centres of these circles is one-fourth of the area of thte triangle ABG. 45. Three circles touch each other externally: prove that the square of the area...
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Graduated exercises in plane trigonometry, compiled by J. and S.R. Wilson

Joseph Wilson, Samuel Robertshaw Wilson - Plane trigonometry - 1879 - 122 pages
...cos (0 — a) — у cos a. 5. On the sides of an equilateral triangle squares are described. Compare the area of the triangle formed by joining the centres of these squares, with that of the original triangle. EXERCISE XXIX. 1. Shew that the smallest positive value...
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