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... The Element of Geometry - Side 29av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
| John Playfair - 1837 - 318 sider
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the **square, of the side subtending the obtuse angle is...perpendicular falls, and the straight line intercepted** between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse... | |
| Euclid - 1838 - 416 sider
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle is...twice the rectangle contained by the side upon which,** wnen produced, the perpendicular falls, and the straight line intercepted without the triangle between... | |
| 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 - 1841 - 351 sider
...Mangles, if a perpendicular be dratcn from either of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle, is...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 - 317 sider
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle is...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
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle is...squares of the sides containing the obtuse angle, by** twiee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the... | |
| Perry Fairfax Nursey - 1843
...also subtends the obtuse angle EPK of ihe triangle EPK, and by (12 Prop. 2 Book Eu.) it is.— " The **square of the side subtending the obtuse angle is...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
...angled-triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle, is...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 - 317 sider
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the **square of the side subtending the obtuse angle is...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 - 237 sider
...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... | |
| |