| Euclid, Robert Simson - 1806 - 518 sider
...rectangle BD, DC, together with the square of AD. Wherefore, if an angle, &c. QED PROP. C. THEOR. See N. **IF from any angle of a triangle a straight line be drawn perpendicular to the base** ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
| John Playfair - 1806 - 311 sider
...therefore BA. AC = BD.DC -f DA«» f 35. 3. Wherefore, if an angle, &c. QED PROP. C. THEOR. Book VI. **IF from any angle of a triangle a straight line be drawn perpendicular to the base,** the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
| Euclid - 1810 - 518 sider
...s«eN«e. IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; **the rectangle contained by the sides of the triangle is equal to the** reelangle contained by the segments of the base, together with the square of the straight line bisecting... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...B. Theor. If an angle of a triangle be bisected by a straight line, which likewise cuts the base ; **the rectangle contained by the sides of the triangle is equal to the rectangle contained by** the segments of the base, together with the square of the straight line bisecting the angle. Prop.... | |
| Euclides - 1816 - 528 sider
...THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh likewise cuts, the base; **the rectangle contained by the sides of the triangle is equal to the rectangle contained by** the segments of the base, together with the square of the straight line, bisecting the angle. Let ABC... | |
| John Playfair - 1819 - 317 sider
...But ED.DA = BD.DC, therefore BA.AC = BD.DC + DAa. Wherefore, if an angle, &c. Q,.^k PROP. C. THEOR. **If from any angle of a triangle a straight line be drawn perpendicular to the base** ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular,... | |
| Daniel Cresswell - 1819 - 410 sider
...X AC = ED X DA + AD* : But (E. 35. 3.) ID X DA = BD X DC ; .-. BA X AC AD\ PHOP. LVI. 65. THEOREM. **If from any angle of a triangle a straight line be drawn perpendicular to the base,** the rectangle contained by the sides of the triangle, is equal to the rectangle contained by the perpendicular... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...segments of the base, together with the sijuare of the straight line bisecting the angle. Prop. C. Theor. **If from any angle of a triangle a straight line be drawn perpendicular to the base;** the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
| Peter Nicholson - 1825 - 372 sider
...together with the square of AD. Wherefore, if an angle, &c. QE D PROP C. THEOREM. If from an ansie **of a triangle a straight line be drawn perpendicular to the base** ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
| Euclid, John Playfair - 1826 - 320 sider
...ED.DA= •vBD.DC, therefore BA.AC = BD.DC + DA3. Wherefore, if an angle, We. Jg. ED • PROP. C. THEOR. **If from any angle of a triangle a straight line be drawn** perpendieular to the base ; the reetangle eontained by the sides of the triangle is equal to the reetangle... | |
| |