 | Robert Simson - 1762 - 488 σελίδες
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC one of the fides containing it let fall the perpen< dicular * AD from the oppofite angle, the fquare of AC oppofite... | |
 | Robert Simson - 1775 - 534 σελίδες
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC, one of the fides containing it, let fall the perpendicular a AD from the -oppofite -angle : The fquare of AC,... | |
 | Euclid - 1781 - 552 σελίδες
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its cute angles, and upon BC, one of the fides containing it, let fall the perpendicular * AD from the... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...fides, and the ftraight line intercepted between the perpendicular, let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC, one of the fides containing it, let fall ths ai 1. i. perpendicular * AD from the oppofite angle : The fquare... | |
 | Robert Simson - 1804 - 528 σελίδες
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC one of the fides containing it let fall the perpendicular a AD from the oppofite angle. the fquare of AC oppofite... | |
 | John Mason Good - 1813 - 714 σελίδες
...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...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. Book III.... | |
 | Euclides - 1816 - 592 σελίδες
...than the squares 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 - 1817 - 454 σελίδες
...of the base of an 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 - 446 σελίδες
...of the base of an 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 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. Book III.... | |
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Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every 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 contained by either... 
