| Charles Reiner - 1837 - 254 páginas
...the side subtending any of the acute angles is less than the squares of the sides containing the same **angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular,** drawn to it from the opposite angle, and the acute angle. SUBSTANCE OF SECTION VII. 1. Squares are... | |
| Euclides - 1838 - 264 páginas
...subtending either of the acute angles, is less than the squares of the sides containing that angle, ly **twice the rectangle contained by either of these sides,...and the angle at B one of its acute angles, and upon** I3C, one of the sides containing it, ,j2 1 let fall the perpendicular* AD from the opposite angle:... | |
| Robert Simson - 1838 - 434 páginas
...triangle, the square of the side subtending any of the acute angles is less than the squares of the **sides containing that angle, by twice the rectangle...from the opposite angle and the acute angle.* Let** BBC be any triangle, and the angle at B one of its acute angles, and upon BC one of the sides containing... | |
| Euclid - 1838 - 478 páginas
...triangle, the square of the side subtending any of the acute angles is less than the squares of the **sides containing that angle, by twice the rectangle...from the opposite angle and the acute angle.* Let** BBC be any triangle, and the angle at B one of its acute angles, and upon BC one of the sides containing... | |
| Euclides - 1840 - 82 páginas
...triangle, the square of a side subtending 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** those sides and the part of it intercepted between the perpendicular let fall on it from the opposite... | |
| Euclides - 1841 - 378 páginas
...In every triangle, the square of the side subtending an acute angle, 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,... | |
| Euclides - 1842
...by twice the rectangle вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. the **sides containing that angle, by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at** в one of its acute angles, and upon в c, one of the sides containing it, let fall the perpendicular... | |
| James Bates Thomson - 1844 - 237 páginas
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, **by twice the rectangle contained by either of these...upon it from the opposite angle, and the acute angle.** PROPOSITION XIII. THEOREM. In a triangle ABC, if the angle C is obtuse, the square of the opposite... | |
| John Playfair - 1844 - 338 páginas
...triangle the square of the side subtending any 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** perpendicular,let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
| Euclides - 1845 - 544 páginas
...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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