 ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...  Science Examination Papers - Page 245by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...and XIH. of Book II. Thus the enunciation of Prop. xn. might be : — " In oblique.angled triangles, the square on the side subtending the obtuse angle...is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...In an obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them and the distance between a perpendicular drawn to that side produced from the opposite... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the aide upon which, when produced, the perpendicular falls, and the straight line intercepted without... | |
 | Edward Atkins - 1874 - 426 pages
...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...perpendicular falls, and the straight line intercepted without th« triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled... | |
 | Euclides - 1874 - 120 pages
...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...which, when produced, the perpendicular falls, and the staight line intercepted without the triangle, between the perpendicular and the obtuse angle. j f.... | |
 | Euclides - 1874 - 342 pages
...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,...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... | |
 | Edward Atkins - 1874 - 428 pages
...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,...perpendicular falls, and the straight line intercepted without the triangle, between flie perpendicular and the obtuse angle. Let ABC be an obtuse-angled... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 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... | |
 | University of Madras - 1876 - 580 pages
...triangles, if 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...perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. (o) ABC, ADC are two right angled... | |
 | Edward Atkins - 1876 - 130 pages
...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...perpendicular falls, and the straight line intercepted without the triangle, between flw perpendicular and the obtuse angle. Let ABC be an obtuse- angled... | |
| |
