| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 Playfair - Euclid's Elements - 1806 - 311 pages
...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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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
...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 - Euclid's Elements - 1816 - 528 pages
...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 - Geometry - 1819 - 410 pages
...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 - Circle-squaring - 1819 - 333 pages
...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, Olinthus Gilbert Gregory - 1819
...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 - Euclid's Elements - 1825 - 582 pages
...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 - Mathematics - 1825 - 372 pages
...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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