 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...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 contained by either of these sides and the straight line intercepted between the perpendicular, let fall upon it from the... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...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...angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpenrlicular let fall on it from the opposite... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...twice the rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION is. THEOREM. tn every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Sandhurst roy. military coll - 1880 - 68 σελίδες
...log -008561427. 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...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall... | |
 | Education Ministry of - 1880 - 238 σελίδες
...mentioned. 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...angle by twice the rectangle contained by either of these sides and the straight line intercepted between the acute angle and the perpendicular let fall... | |
 | 1884 - 538 σελίδες
...given point in a given straight line, make a rectilineal angle equal to a given rectilineal angle. 5. In every triangle, the square on the side subtending...angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fail on it from the opposite... | |
 | 1881 - 504 σελίδες
...straight line. f 4. 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 angle and the perpendicular let fall... | |
 | Moffatt and Paige - 1881 - 176 σελίδες
...algebraical formula 1 3. 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 angle and the perpendicular let fall... | |
 | Simon Newcomb - 1881 - 418 σελίδες
...on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either of those sides and the projection of the other side upon it. Hypothesis. ABC, a triangle, obtuse-angled at A; CD, the perpendicular... | |
 | Education Ministry of - 1882 - 300 σελίδες
...Why cannot we satisfactorily demonstrate propositions of the Second Book by algebraical processes ? In every triangle, the square on the side subtending...angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
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In every triangle, the square on the side subtending an acute angle, 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 perpendicular let... 
