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In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages

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

Sandhurst roy. military coll - 1880 - 68 pages
...log -008561427. 1. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. If the side BO of a triangle...

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

Education Ministry of - 1880 - 248 pages
...mentioned. SECTION IV. 1. In every triangle the square on the side subtending either of the acute angles is less than the squares on the sides containing that...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle...

The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...given point in a given straight line, make a rectilineal angle equal to a given rectilineal angle. 5. In every triangle, the square on the side subtending...straight line intercepted between the perpendicular let fail on it from the opposite angle and the aciite angle. 6. The opposite angles of any quadrilateral...

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...algebraical formula 1 3. In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 1. Simplify ALGEBRA. x...

The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...straight line. f 4. In every triangle the square on the side subtending either of the acute angles, is less than the squares on the sides containing that...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 5. How does a sector differ...

Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881 - 380 pages
...of the side opposite the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle contained by either of these sides and the projection of the other on it. Let AB be the side opposite the obtuse angle C, of the triangle ABC...

The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...the least possible. 2. In every triangle, the square on the side subtending any of the acute angles is less than the squares on the sides containing that...line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. In any quadrilateral the squares on the diagonals...

The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...points of section. 3. In every triangle the square on the side subtending either of the acute angles is less than the squares on the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Algebra. I. Find the с....