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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 180
af Euclides - 1816 - 528 sider
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...Wherefore, if an angle, PROPOSITION C. TREOn. — If from any angle of a triangle a straight line be S«r N. drawn perpendicular to the base, the rectangle contained...AD the perpendicular from the angle A to the base ItC : the rectangle HA, AC shall be equal to the rectangle contained by AD and the diameter of the...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 sider
...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...from the angle A to the base BC; the rectangle BA, AC is'equal to the rectangle contained by AD, and the diameter of the circle described about the triangle....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...PROP. B. THEOR. See N. 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. Let ABC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 sider
...BA.AC=BD.DC + DAS- Wherefore, if an angle, &c. QED PROP. C. THEOR. Book VI. from any angle of a triangle a straight line be drawn perpendicular to the base...the perpendicular, and the diameter of the circle descri: bed about the triangle. \Let ABC be a triangle, and AD the perpendicular from the angle A to...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...have the sectors. B. 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, to. gether with the square of the straight line bisecting the angle. C. If...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 sider
...inside or outside. 21. 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. 22. The...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...circles, &c. PROP. 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. Let ABC...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...PROPOSITION B. THEOREM. 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. Let ABC...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the Lose; 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 stra ght line bisecting the angle. Let ABC...
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The Elements of Euclid

Euclid - 1838 - 470 sider
...AD. Wherefore, if an angle, &.c. QED PROP. C. THEOR. Ir from any angle of a triangle a straight fine be drawn perpendicular to the base ; the rectangle...angle A to the base BC ; the rectangle BA, AC is equal to the rectangle contained by AD and the diameter of the circle described about the triangle. • See...
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