 | Euclides - 1840 - 82 pages
...In an obtuse-angled triangle, the square of the side subtending the obtuse angle exceeds the sum of the squares of the sides containing the obtuse angle, by twice the rectangle contained by either of those sides and the produced part of it intercepted between the perpendicular let fall on... | |
 | Euclides - 1841 - 378 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. obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced: the square of*... | |
 | John Playfair - 1842 - 332 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 - 1842 - 316 pages
...subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twiee the rectangle contained by the side upon which, when...perpendicular falls, and the straight line intercepted on the exterior of the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled... | |
 | Perry Fairfax Nursey - 1843 - 538 pages
...by (12 Prop. 2 Book Eu.) it is.— " The square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by one of the sides about the obtuse angle, and the line intercepted without by a perpendicular to it... | |
 | 1844 - 688 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. 8. If two circles cut one another, they shall not have... | |
 | John Playfair - 1844 - 338 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...angle, by twice the rectangle contained by the side uponwhich, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular... | |
 | James Bates Thomson - 1844 - 268 pages
...we find AB2=BC'+AC'+'^BCxCD). Hence, of the other two sides by twice the rectangle contained by that side upon which, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Scholium. The right-angled triangle is the only one... | |
 | Euclid - 1845 - 218 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 •12.1.... | |
 | Euclides - 1845 - 546 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... | |
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... subtending the obtuse angle, is greater than the squares of 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... 
