 | Ignace Gaston Pardies - 1734 - 192 páginas
...PROP. II. In an Acute-angled Triangle, the Square of the Side (h) fubtending an Acute Angle, " is lefs than the Sum of the Squares of the other two Sides, by double the Rettangle under the whole Safe, (b + a) and the Segment of the Bafe (a) which is next to... | |
 | Charles Hutton - 1811 - 406 páginas
...figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subtending the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. ( Let ABC be a triangle,... | |
 | Charles Hutton - 1812 - 620 páginas
...figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subtending the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be a triangle,... | |
 | Charles Hutton - 1822 - 616 páginas
...figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, the Square of the Side subtending the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be a triangle,... | |
 | George Lees - 1826 - 276 páginas
...,1 ' ' Book III. PROP. V. THEOREM. The square of one of the sides of a triangle is greater or less than the sum of the squares of the other two sides, by twice the rectangle contained by the base and its segment, intercepted between the perpendicular and the angle... | |
 | Adrien Marie Legendre - 1836 - 394 páginas
...PROPOSITION XIII. THEOREM. .In every obtuse angled triangle, the square of the side opposite the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle contained by the base and the distance from the obtuse angle to the foot of the perpendicular... | |
 | James Bates Thomson - 1844 - 268 páginas
...CD). Hence, In every triangle the square of the side subtending either of the acute angles, is less than the sum of the squares of the other two sides, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular... | |
 | Nathan Scholfield - 1845 - 542 páginas
...square of the side AB opposite the obtuse angle, (see last figure,) is equal to a3 + c3 + 2 ex, that is, greater than the sum of the squares of the other two sides, by 2cx, which agrees with propositions XXVI and XXVII, B. IV, EL Geom ; by these propositions we may determine... | |
 | Nathan Scholfield - 1845 - 894 páginas
...square of the side AB opposite the obtuse angle, (see last figure,) is equal to a' + c' + 2 ex, that is, greater than the sum of the squares of the other two sides, by 2cx, which agrees with propositions XXVI and XXVII, B. IV, El. Geom ; by these propositions we may... | |
 | Nathan Scholfield - 1845 - 506 páginas
...square of the side AB opposite the obtuse angle, (see last figure,) is equal to a" + c2 + 2 ex, that is, greater than the sum of the squares of the other two sides, by 2cx, which agrees with propositions XXVI and XXVII, B. IV, El. Geom ; by these propositions we may... | |
| |
IN any Obtuse-angled Triangle, the Square of the Side subtending the Obtuse Angle, is Greater than the Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the Perpendicular from the Obtuse Angle. Let ABC be... 
