| Euclides - 1840
...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 - Geometry - 1841 - 351 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 - Euclid's Elements - 1842 - 317 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
...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 - Industrial arts - 1843
...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... | |
| Education - 1844
...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 - Euclid's Elements - 1844 - 317 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 - Geometry - 1844 - 237 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 - Geometry - 1845 - 199 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
...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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