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In every triangle, the square of the side subtending any 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...
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 29
by Euclides - 1840

University of Madras - 1873 - 436 pages
...angled triangle, prove that the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...

## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...square on the side opposite the obtuse angle is greater than the squares on the sides containing it by twice the rectangle contained by either of those...it intercepted between the perpendicular let fall upon it from the opposite angle and the obtuse angle. (' Let ABC be an obtuse-angled A , having the...

## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...

## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall...

## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 20

1876 - 586 pages
...3. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...every triangle the square on the side subtending any of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the...

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Theorem. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...