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 rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... A Supplement to the Elements of Euclid - Side 104av Daniel Cresswell - 1819 - 410 siderUten tilgangsbegrensning - Om denne boken
| Henry Parr Hamilton - 1826 - 326 sider
...of 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 from the opposite angle., and the** acute angle." (Eve. II. IS). Since the triangle may be either acute angled, or obtuse angled, or right... | |
| Robert Simson - 1827 - 513 sider
...of 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 from the opposite angle, and the** acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one... | |
| Pierce Morton - 1830 - 272 sider
...that angle, by twice the rectangle, contained by either of these sides, and that part of it, which is **intercepted between the perpendicular let fall upon it from the opposite angle, and the** given angle : greater, when the given angle is greater than a right angle, and less, when it is less.... | |
| Euclides - 1834
...twice the rectangle contained by either of these sides, and the straight line intercepted bi-twecn **the perpendicular let fall upon it from the opposite angle, and the** acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one... | |
| Euclid - 1835 - 513 sider
...of t 'fie 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 from the opposite angle, and the** acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one... | |
| 1835
...that angle, by twice the rectangle contained by either of these sides, and that part of it which is **intercepted between the perpendicular, let fall upon it from the opposite angle, and the** acute angle; greater if the given angle is greater than a right angle, and less if it is less . . .22... | |
| John Playfair - 1836 - 114 sider
...of 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 from the opposite angle, and the** acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one... | |
| Andrew Bell - 1837 - 240 sider
...squares of BC, CA, by twice the rectangle BC • CD. PROPOSITION XIII. THEOREM. of these sides, and **the straight line intercepted between the perpendicular...let fall upon it from the opposite angle, and the** acute angle. Let ABC he any triangle, and the angle at B one of its acute angles, and upon BC, one... | |
| Euclides - 1837 - 88 sider
...of 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 from the opposite angle, and the** acute angle. Fig. 1. Fig. 3. Steps of the Demonstration to Case 1st. (in which AD falls within the... | |
| Euclides - 1838
...of the sides containing that angle, ly twice the rectangle 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. Let ABC be any triangle, and the angle at B one of its acute angles, and upon I3C, one... | |
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