 | Charles Hutton - 1811 - 406 σελίδες
...equal to the squares of AB, BC,. together with twice the rectangle of AB, BD. c^ ED THEOREM XXXVII. IN any Triangle, the Square of the Side subtending an Acute Angle, is Less than the Squares of the Base and the other Side, by Twice the Rectangle of the Base and the Distance of the... | |
 | Charles Hutton - 1812 - 620 σελίδες
...the squares of AB, BC, together with twice the rectangle of AB, BD. q. B. i>. THEOREM XXXVII. 0, 4^» IN any Triangle, the Square of the Side subtending an Acute Angle, is Less than the Squares of the Base and the other Side, by Twice the Rectangle of the Base and the Distance of the... | |
 | Charles Hutton - 1822 - 616 σελίδες
...equal to the squares of AB, BC, together with twice the rectangle of AB, BD. u- ED THEOREM XXXVII. IN any Triangle, the Square of the Side subtending an Acute Angle, is Less than the Squares of the Base and the other Side, by Twice the Rectangle of the Base and the Distance of the... | |
 | Euclid - 1822 - 222 σελίδες
...rectangle under DC and CB. PROP. XIII. THEOR. In any triangle (ABC) the square of the side (AB) Fi^. 25. subtending an acute angle is less than the sum of the squares of the sides(AC and CB), containing that angle by twice the rectangle under either of them (AC), and the segment... | |
 | John Playfair - 1829 - 210 σελίδες
...twice the rectangle under the base and the distance between the perpendicular and the obtuse angle. In any triangle the square of the side subtending...acute angle is less than the sum of the squares of the two sides containing that angle by twice the rectangle under either of these sides and the distance... | |
 | Adrien Marie Legendre - 1830 - 344 σελίδες
...another place. THEOREM. 191. In any triangle, the square of the side opposite either of the acute angles, is less than the sum of the squares of the sides containing it, by twice the rectangle contained by either of ilie latter sides and the distance from the acute... | |
 | Euclid - 1833 - 216 σελίδες
...rectangle under DC and CB. PROP. XIII. THEOPv. In any triangle {ABC) tie square of the side (AB), Fig. 25. subtending an acute angle, is less than the sum of the squares of the sides (AC and CB) containing that angle, by twice the rectangle under either of them (AC) and the segment... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...of BC, CA, and twice the rectangle BC.CD. Therefore, in an obtuse-angled triangle, &c. PROP. XIII. THEOR. IN any triangle, the square of the side subtending an acute angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight... | |
 | Adrien Marie Legendre - 1838 - 382 σελίδες
...another place. GEOMETRY. PROPOSITION XII. THEOREM. In every triangle, the square of a side opposite an acute angle is less than the sum of the squares of the other two sides, by twice the rectangle contained by the base and the distance from the acute angle... | |
 | Euclides - 1840 - 82 σελίδες
...opposite angle and the vertex of the obtuse angle. PROP. XIII. THEOR. In any triangle, the square of a side subtending an acute angle is less than the sum...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... | |
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In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the... 
