Books Books In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the 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... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 96
by Robert Potts - 1860 - 361 pages ## Pure mathematics, Volume 1

Edward Atkins - 1874
...square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without th« triangle,... ## Pure Mathematics, Volume 1

Edward Atkins - 1874
...the opposite 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,... ## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...having three acute angles. PROPOSITION III. In obtuse-angled triangles, the 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 sides and the part of it intercepted between... ## The Madras University Calendar, Volume 1

...a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 pages
...on the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...side subtending the obtuse angle is greater than the squara on the sides containing the obtuse angle, by twice the rectanglt contained by the side, upon... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the sides containing the...obtuse angle, by twice the rectangle contained by the tide upon which, when produced, the perpendicular falls, and 'the straight line intercepted without... ## Examination Christmas,1875

...squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... ## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...square on AH. QEF Proposition 12.— Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side sid)tending the obtuse angle is greater than the squares on the sides containing the obtuse angle,... ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...is a right angle. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... 