| George Lees - 1826 - 272 páginas
...the base of an isosceles triangle, is equal to twice the rectangle contained by either side, and by **the straight line intercepted between the perpendicular, let fall upon it from the opposite angle and the** extremity of the base. 3. If the vertical angle of a triangle be two-thirds of a right angle, the square... | |
| John Playfair - 1826 - 320 páginas
...line intereepted between the perpendieular, let fall upon it from the opposite angle, and the aeute **angle. Let ABC be any triangle, and the angle at B one of its** aeute angles, and upon BC, one of the sides eontaining it, let fall the perpendieular (12. 1.) AD from... | |
| John Playfair - 1829 - 186 páginas
...triangle the square of the side subtending an acute angle is less than the sum of the squares of the two **sides containing that angle, by twice the rectangle contained by either of** those sides and the distance between the acute angle and the perpendicular drawn from the opposite... | |
| Pierce Morton - 1830 - 584 páginas
...the square of the side which is opposite to a given angle is greater or less than the squares of the **sides containing 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... | |
| Euclides - 1834 - 518 páginas
...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...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... | |
| 1835
...the square of the side which is opposite to a given angle is greater or less than the squares of the **sides containing 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... | |
| 1836 - 472 páginas
...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...sides, and the straight line intercepted between the** perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle... | |
| John Playfair - 1836 - 488 páginas
...triangle, the square of the side sub- . tending 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** tides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite... | |
| Euclides - 1837 - 112 páginas
...triangle, the square of the side -btending any of the acute angles is less than the squares of the **sides containing that angle, by twice the rectangle...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 A.) 1. Prove... | |
| Andrew Bell - 1837 - 240 páginas
...is greater than the squares of BC, CA, by twice the rectangle BC • CD. PROPOSITION XIII. THEOREM. **of these sides, and the straight line intercepted...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 of the sides containing... | |
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