 | 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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In every 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 contained by either of these sides, and the straight line intercepted between the perpendicular... 
