 In every triangle, the square on the side subtending an acute angle, 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 perpendicular let...  Calendar - Pagina 235door University of St. Andrews - 1891Volledige weergave - Over dit boek
 | Adrien Marie Legendre - 1838 - 382 pagina’s
...explained more fully in 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... | |
 | Adrien Marie Legendre - 1839 - 372 pagina’s
...explained more fully in another place. PROPOSITION XII. THEOREM. In every triangle, the square of aside 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... | |
 | Charles Davies - 1849 - 372 pagina’s
...triangles: hence EF(jH is double of ABCD. 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... | |
 | Euclid - 1853 - 176 pagina’s
...to the rectangle under the other side and its produced part. The square on the side subtending that acute angle is less than the sum of the squares on the sides which contain that angle, by double the rectangle under the side to which the perpendicular is drawn,... | |
 | Cambridge univ, exam. papers - 1856 - 200 pagina’s
...part. 7. 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 those sides and the straight line intercepted between the perpendicular let fall upon it... | |
 | Horatio Nelson Robinson - 1860 - 470 pagina’s
...have introduced a supposition which changes it into one which is right-angle 1. THEOREM XL I. In any triangle, the square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the... | |
 | Robert Potts - 1860 - 380 pagina’s
...THEOREM. In every triangle, the square on the side subtending either of the acute ungles, 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 acute angle and the perpendicular... | |
 | Euclides - 1860 - 288 pagina’s
...THEOREM. In every triangle, the square on the side subtending any 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 perpendicular let fall upon it... | |
 | Euclides - 1862 - 140 pagina’s
...PROPOSITION 13.— THEOREM. In every triangle, the square on the side subtending an acute angle, 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 perpendicular let fall on it from... | |
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