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In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...
Elements of geometry, containing the first two (third and fourth) books of ... - Page 90
by Euclides - 1871

## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...squares. 2. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,...

## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 pages
...the other sides. Let BAC be an acute angle, then Make AD = AC, and at right angles to AB (I. 22). 22. The square on the side subtending the obtuse angle, is greater than the squares on the other sides. 23. Any side of a triangle is greater than the difference between the other two. 24. Two...

## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

## Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

...rectangle contained by OB and ОС. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...H, us required. QEF PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

## Military examinations. Mathematical examination papers, set at entrance to ...

...log 15650 = 4-1945143, log 15651 = 4-1945421. c 2 MATHEMATICS. (2.) 1. In any obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides, by twice the rectangle contained by one of the sides, and...

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle...