 | John Playfair - 1806 - 320 σελίδες
...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,...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
...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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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. Prop. XIV. Prob. To describe a square that shall be equal to a given rectilineal figure.... | |
 | 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... | |
 | Euclides - 1816 - 588 σελίδες
...of the fides containing that angle, by twice the rectangle contained by either ot these sides, and the straight line intercepted between the perpendicular let fall upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute... | |
 | Daniel Cresswell - 1819 - 446 σελίδες
...perpendiculars drawn from B, C, fall within AD the less of the two parallel sides. PROP. XIII. 15. THEOREM. The square of the base of an isosceles triangle is...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 proposition is manifestly... | |
 | John Playfair - 1819 - 350 σελίδες
...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... | |
 | 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.... | |
 | Daniel Cresswell - 1825 - 616 σελίδες
...perpendiculars drawn from B, C, fall within AD the less of the two parallel sides. PROP. XIII. 15. THEOREM. The square of the base of an isosceles triangle is...straight line intercepted between the perpendicular, let Jall upon it from the opposite angle, and the extremity of the base. If the vertical angle of the isosceles... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 the acute angle. Let ABC be any triangle, and the angle at В one of its acute angles, and upon BC, one... | |
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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... 
