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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

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...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...line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle, Let ABC be any triangle, and the angle at B one...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...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...line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one...

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...triangle^ the square of the side sub-tending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. 46. Prop. 39. Prop. is. P J, 47 Fig. 1....

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...triangle^ the square of the side sttbtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either oj these sides, and the straight line intercepted between the perpendicular let fall upon it from the...

## The English Journal of Education, Volume 1

Education - 1847 - 508 pages
...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 those sides, aud the straight line intercepted between the acute angle and the perpendicular let fall...

## Report of the Committee of Council on Education (England and Wales ..., Issue 1

...line. 2. In any triangle the square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle...line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle ; prove only the first case of this proposition....

## Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1848 - 514 pages
...line. 2. In any triangle the square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle...line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle ; prove only the first case of this proposition....