 | 1836 - 488 pagina’s
...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 perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle... | |
 | John Playfair - 1836 - 488 pagina’s
...triangle, the square of the side sub- . tending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these tides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite... | |
 | Euclides - 1837 - 112 pagina’s
...triangle, the square of the side -btending 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. Fig. 1. Fig. 3. Steps of the Demonstration to Case 1st. (in which AD falls within the A.) 1. Prove that... | |
 | John Playfair - 1837 - 332 pagina’s
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of 'the sides... | |
 | 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...upon it 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... | |
 | 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,...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon I3C, one of the sides... | |
 | Euclides - 1840 - 82 pagina’s
...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
...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
...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...upon it from the opposite angle, and the 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... | |
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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... 
