 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 - Σελίδα xlviτων London univ - 1852Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Robert Simson - 1806 - 546 σελίδες
...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 - 320 σελίδες
...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 - 714 σελίδες
...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 - 350 σελίδες
...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 - 800 σελίδες
...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 - 354 σελίδες
...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 - 1046 σελίδες
...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 - 354 σελίδες
...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 - 226 σελίδες
...*• *• 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 - 546 σελίδες
...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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