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In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the...
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 62
by Euclid, John Playfair - 1819 - 333 pages

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

Henry Major - Student teachers - 1873 - 592 pages
...to the square of AIL XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,...

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

Euclides - 1874 - 342 pages
...opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle,...

## Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the staight line intercepted without the triangle,...

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

Henry Major - 1876 - 784 pages
...opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle by twice the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Algebra.— 1. If ab (c + d—e—f)...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled A,...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...obtuse angle is greater than the squara on the sides containing the obtuse angle, by twice the rectanglt contained by the side, upon which, when produced,...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse.angled A...

## The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...produced, prove that the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...