 Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. 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...  The London University Calendar - Strona xlviautor: London univ - 1852Pełny widok - Informacje o książce
 | Robert Simson - 1806 - Liczba stron: 546
...triangles, &c. QED PROP. XIII. THEOR. See N. IN every triangle, the square of the side subtending any of the acute angles is less than the squares of the...contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
 | John Playfair - 1806 - Liczba stron: 320
...triangles, &c. QED PROP. XIH. THEOR. Book ii. IN 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 rect. angle contained by either of these sides and the straight line intercepted between the perpendicular,... | |
 | John Mason Good - 1813 - Liczba stron: 714
...perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
 | John Playfair - 1819 - Liczba stron: 350
...PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that...contained by either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle.... | |
 | John Mason Good - 1819 - Liczba stron: 800
...аи-I the obtuse angle. Pmp. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...containing that angle, by twice the rectangle contained by eithei of these sides, and the straight line ¡ntercepuJ between the perpendicular let fall upon it... | |
 | John Playfair - 1819 - Liczba stron: 354
...Q,. ED -D PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the aeute angles, is less than the squares of the sides containing that angle, by tvsice tht rectangle contained by cither of these sides, and the straight line intercepted betrvetri... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...triangles, &c. QED Proposition XIII. Theorem. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the...contained by either of these sides, and the straight line inteicepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
 | Henry Parr Hamilton - 1826 - Liczba stron: 354
...algebraically the following Proposition : " In every triangle, the square of the side subtending any of the acute angles is less than the squares of the...contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle., and the acute angle."... | |
 | Euclides - 1826 - Liczba stron: 226
...*• *• PROPOSITION XIII. THEOREM. In acute angled triangles, the square of the side subtending any of the acute angles is less than the squares of the sides containing the acute angle, by twice a rectangle under one of the sides about the acute angle, viz. on which the... | |
 | Robert Simson - 1827 - Liczba stron: 546
...triangles, &c. QED PROP. XIII. THEOR. In every triangle, the square of the side subtending either SeeN. of the acute angles, is less than the squares of the...contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
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