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In every 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...
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Page 54
by Robert Simson - 1835 - 513 pages

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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (a.) ABC is a triangle having the angle at C obtuse...

## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...— 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...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,...

## 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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. j Q Let ABC be any triangle, and the angle at B...

## 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...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,...

## Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle at B an acute angle ; and on BC, one of the sides containing it, let fall the perpendicular AD from the...

## Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...Theorem. In every triangle, the square on the side subtending an acute angle is less t/ian the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and llw straight line intercepted between the perpendicular let fall on it from the opposite angle and...

## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the sides containing it by twice the rectangle contained by either of those sides and the part of 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 obtuse LACB, and from B let fall BK j....

## 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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. — To be proved for acute-angled triangles only....