 | Charles Reiner - Geometry - 1837 - 254 pages
...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 pages
...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 - Geometry - 1838 - 434 pages
...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 - Geometry - 1838 - 470 pages
...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 pages
...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 - Geometry - 1841 - 378 pages
...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 - 316 pages
...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 - Geometry - 1844 - 268 pages
...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 - Euclid's Elements - 1844 - 338 pages
...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 - 546 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... 
