| 1878 - 634 pages
...the side subtending either of the acute angles, is less than the squares of the sides containing tlmt **angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...sides of an acute-angled triangle exceed the square on the third side ? Prove the truth of your answer. **In every triangle the square on the side subtending...angle by twice the rectangle contained by either of** those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
| Joseph Wollman - 1879 - 120 pages
...QED SECTION IV. 1. In every triangle, the square on the side subtending either of the acute angles **is less than the squares on the sides containing that...sides and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle... | |
| Moffatt and Paige - 1879 - 506 pages
...Proposition XIII. Theorem. In every triangle, the square on the side subtending either of the acute angles **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...triangle, the square on the side subtending any of the acute angles is less than the squares on tlie **sides containing that angle, by twice the rectangle...line intercepted between the perpendicular, let fall** upon it from the opposite angle, and the acute angle. FIG. i. Fio. 2. Let ABC be any A, having the... | |
| Edwin T. Olver - 1879 - 158 pages
...triangle, the square of the side subtending either of the acute angles, is less than the squares of **the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. I. II. Majorca Iceland... | |
| Edward Harri Mathews - 1879 - 94 pages
...squares of the two straight lines. 3. In every triangle the square on the side subtending an acXite **angle is less than the squares on the sides containing...angle by twice the rectangle contained by either of** those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...every triangle the square of the side opposite an acute angle, is less than the sum of the squares of **the sides containing that angle, by twice the rectangle contained by either of these sides, and the** line between the acute angle and the foot of the perpendicular falling on this side from the opposite... | |
| Great Britain. Civil Service Commission - 1879 - 622 pages
...less than the squares of the sides containing that angle by twice the rectangle contained by cither **of these sides, and the straight line intercepted between the perpendicular let fall** upon it from the opposite angle and the acute angle. 5. If a straight line drawn through the centre... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...on AB is greater than the squares on BC and CA by twice the rectangle AC, CD. PROP. XIII. THEOREM. **In every triangle the square on the side subtending...sides and the straight line intercepted between the** perpenrlicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
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