| Great Britain. Admiralty - Geometry - 1846
...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.** 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... | |
| Euclides - 1846
...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... | |
| Great Britain. Admiralty - Geometry - 1846
...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.** A V str. line BD is divided into 2 parts in pt. C, BD8 = BC a +CD8+2. BC. CD, Prop.«. add to each... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...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... | |
| 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... | |
| Euclides - 1848
...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...the perpendicular and the obtuse angle. PROP. XIII.** THEOREM. In every triangle, the square of the side subtending any of the acute angles, is less than... | |
| J. Goodall, W. Hammond - 1848
...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.** Section 4. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole... | |
| Euclid, Thomas Tate - 1849 - 108 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** Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the... | |
| Education - 1850
...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** that side upon which when produced, the perpendicular falls, and the straight line intercepted without... | |
| Euclides - 1852
...angles to the opposite side produced, the square of the sides 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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