 | Andrew Bell - 1837 - 290 pagina’s
...is greater than the squares of BC, CA, by twice the rectangle BC • CD. PROPOSITION XIII. THEOREM. of these sides, and the straight line intercepted...from the opposite angle, and the acute angle. Let ABC he any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing... | |
 | Charles Reiner - 1837 - 254 pagina’s
...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 pagina’s
...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,...acute angle. Let ABC be any triangle, 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*... | |
 | Robert Simson - 1838 - 434 pagina’s
...every 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 - 470 pagina’s
...every 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 pagina’s
...any 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 pagina’s
...THEOR. 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,... | |
 | John Playfair - 1842 - 332 pagina’s
...every 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...acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the side's containing it, let fall the perpendicular... | |
 | James Bates Thomson - 1844 - 268 pagina’s
...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 pagina’s
...every 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,... | |
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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... 
