 | Perry Fairfax Nursey - 1843 - 538 σελίδες
...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 σελίδες
...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...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 σελίδες
...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 σελίδες
...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... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...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...triangle between the perpendicular and the obtuse angle. A V str. line BD is divided into 2 parts in pt. C, BD8 = BC a +CD8+2. BC. CD, Prop.«. add to each... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...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...triangle between the perpendicular and the obtuse angle. A Y str. line BD is divided into 2 parts in pt. C, BD« = BC 8 +CD 8 + 2. BC. CD, Prop. ta. add to... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, 6y twice the rectangle contained by the side upon which,...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse... | |
 | J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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...triangle between the perpendicular and the obtuse angle. Section 4. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole... | |
 | Euclides - 1848 - 52 σελίδες
...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...triangle between the perpendicular and the obtuse angle. PROP. XIII. THEOREM. In every triangle, the square of the side subtending any of the acute angles,... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...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 Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the... | |
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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... 
