 | 1882 - 486 pages
...In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle by...rectangle contained by either of these sides, and the intercept between the acute angle and the fcot of tha perpendicular let fall from the opposite angle.... | |
 | Education Ministry of - 1882 - 292 pages
...1. In every triangle the square on tho side subtending either of the acute angles is less than tho squares on the sides containing that angle by twice...the rectangle contained by either of these sides and tho straight line intercepted between tho acute angle and the perpendicular let fall upon it from tho... | |
 | 1882 - 376 pages
...In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle under either of these sides and the intercept between the acute angle and the foot of the perpendicular... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...ELEMENTS. PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an... | |
 | Moffatt and Paige - 1883 - 602 pages
...etc. QED Proposition XIII. Theorem. In every triangle, the square on the side subtending either cf the acute angles is less than the squares on the sides...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,... | |
 | Education - 1883 - 654 pages
...on the other part. Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the...that angle by twice the rectangle contained by either oí these sides, and the straight line intercepted between the acute angle and the perpendicular let... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...on the other part. Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the...containing that angle by twice the rectangle contained by eithor of these sides, and the straight line intercepted between the acute angle and the perpendicular... | |
 | Euclides - 1883 - 176 pages
...13. THEOR. In any triangle the square on a side opposite to an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of them and the projection of the other upon it. DC DBC Let AB be opposite the acute L ACB. Draw AD JL... | |
 | University of Cambridge - 1884 - 624 pages
...two sides is a right angle. 5. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall from the opposite angle and the acute angle. Prove this proposition only in the case of an acute-angled... | |
 | Stewart W. and co - 1884 - 272 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. Let ABC be any triangle,... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute... 
