| John Playfair - Geometry - 1836 - 114 pages
...angles to the opposite side produced, tht square of the side subtending the obtuse angle, is greater **than the squares of the sides containing the obtuse...triangle between the perpendicular and the obtuse angle.** Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
| Mathematics - 1836 - 472 pages
...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...perpendicular falls, and the straight line intercepted** between the perpendieu lar and the obtuse angle. XIII. In every triangle the square of the side subtending... | |
| John Playfair - Euclid's Elements - 1836 - 471 pages
...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...twice the rectangle contained by the side upon which,** tchen produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
| Charles Reiner - Geometry - 1837 - 215 pages
...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...triangle, between the perpendicular and the obtuse angle.** Obs. — While it is, of course, not to be expected, that the pupils can express the result of a demonstration... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...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...triangle, between the perpendicular and the obtuse angle.** Obs. This proposition is so short, and each step so necessary to the proof, that to attempt to simplify... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...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...triangle between the perpendicular and the obtuse angle.** Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
| John Playfair - Geometry - 1837 - 318 pages
...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...perpendicular falls, and the straight line intercepted** between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse... | |
| Euclides - 1838
...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...triangle between the perpendicular and the obtuse angle.** Let ABC be an obtuse angled triangle, having the obtuse ,12 1 angle ACB, and from the point A let AD... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 pages
...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...triangle between the perpendicular and the obtuse angle.** Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
| Euclid - Geometry - 1838 - 416 pages
...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...twice the rectangle contained by the side upon which,** wnen produced, the perpendicular falls, and the straight line intercepted without the triangle between... | |
| |