 | John Playfair - 1806 - 320 σελίδες
...containing that angle, by twice the rect. angle 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... | |
 | Robert Simson - 1806 - 546 σελίδες
...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 let fall upon it from the opposite angle, and... | |
 | Charles Hutton - 1812 - 514 σελίδες
...only half of the absolute force, so it is evident that the force will be more than one-half when ADB is greater than a right angle, and less when it is less ; and also, that the longer AD is, the less the force is, it being always inversely as the square of... | |
 | John Mason Good - 1813 - 714 σελίδες
...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 let fall upon it from the opposite angle, and... | |
 | Euclides - 1814 - 560 σελίδες
...angle, by twice the rectangle contained by either of these sides, and the straight line intercopted 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... | |
 | Daniel Cresswell - 1817 - 454 σελίδες
...isosceles triangle is the double of 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. (XIV.) If from any point, in the circumference of the greater of two given concentric... | |
 | Daniel Cresswell - 1819 - 486 σελίδες
...isosceles triangle is the double of 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. If the vertical angle of the isosceles A be a right angle, the proof of the... | |
 | John Playfair - 1819 - 350 σελίδες
...square of the side subtending any of the acute angles, i$ 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, let fall upon it from the opposite angle,... | |
 | John Mason Good - 1819 - 800 σελίδες
...angle, by twice the rectangle contained by eithei of these sides, and the straight line ¡ntercepuJ between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a civen rectilineal figure.... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 inteicepted between the perpendicular let fall upon it from the opposite angle, and... | |
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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... 
