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Bøker Bok 110 av 114If from any angle of a triangle, a straight line be drawn perpendicular to the base...
" 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 and the diameter of the circle described about the triangle. "
Interim Report of the Commissioners on Certain Parts of Primary Education ... - Side 122
av New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 619 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

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....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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,...
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A Supplement to the Elements of Euclid

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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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