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In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 111
by Euclides - 1821

## The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...straight line intercepted without the triangle between the perpendicular and the obtuse angle. In every triangle the square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides,...

## Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...squares ABHL, ACI K. PROPOSITION XII. — THEOREM. 244. In any triangle, the square of the side opposite an acute angle is less than the sum of the squares of the base and the other side, by twice the rectangle contained by the base and the distance from the vertex...

## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...squares ABHL, ACIK. PROPOSITION XII. — THEOREM. 244. In any triangle, the square of the side opposite an acute angle is less than the sum of the squares of the base and the other side, by twice the rectangle contained by the base and the distance from the vertex...

## Christmas examinations [examination papers].

Dublin city, academic inst - 1862 - 32 pages
...with thé square of the other part. 6. In an acute angled triangle the square of the side opposite the acute angle is less than the sum of the squares of the sides about that angle by twice the, rectangle under the base, and the distance from the acute angle...

## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...ACI K. BOOK IV. ' PROPOSITION XII. — THEOREM. 244. In any triangle, the square of the side opposite an acute angle is less than the sum of the squares of the base and the other side, by twice the rectangle contained by the base and the distance from the vertex...

## Calendar of the McGill University, Montreal

McGill University - 1865 - 332 pages
...square of a line is four times the square of its half. 2. In any triangle the square of a side opposite an acute angle is less than the sum of the squares of the sides containing it by twice the rectangle under either of them and the intercept between the acute angle and the foot...

## Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...(ax. 2). But AD2+CD2=AC2, and BD2+CD2=BC2 (th. 34). Therefore AC2=AB2+BC2+2AB. BD. QED THEOREM XXXVII. In any triangle, the square of the side subtending an acute angle is less than the squares of the base and the other side by twice the rectangle of the base and the distance of the perpendicular...

## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 338 pages
...ACIK. BOOK IV. PROPOSITION XII. — THEOREM. 244. In any triangle, the square of the side opposite an acute angle is less than the sum of the squares of the base and the other side, by twice the rectangle contained by the base and the distance from the vertex...