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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 - Side 145
av Euclid - 1838 - 416 sider
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Sessional Papers - Legislature of the Province of Ontario, Volum 6

Ontario. Legislative Assembly - 1914
...two other sides. If the vertical angle of a triangle be bisected by a straight line which also 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 on the straight line which bisects the angle. If...
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The Bombay University Calendar, Volum 1

University of Bombay - 1906
...triangle to the opposite side, the rectangle contained by the other sides of the triangle is eqnal to the rectangle contained by the perpendicular and...diameter of the circle described about the triangle. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum...
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Calendar

University of St. Andrews - 1891
...of the sides about the equal angles. 7. If, from the vertical angle of a triangle, a straight line be drawn perpendicular to the base, the rectangle...diameter of the circle described about the triangle. If a, b, and c be the sides of the triangle ABC, A its area, and R the radius of the circumscribed...
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Calendar

University of St. Andrews - 1900
...that the locus of R is a circle. 3. If from the vertical angle of a triangle a perpendicular he drawn to the base, the rectangle contained by the sides...by the perpendicular and the diameter of the circle circumscribed about the triangle. If a circle be circumscribed about a triangle, and two straight lines...
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The Bombay University Calendar

University of Bombay - 1904
...perpendicular be drawn from a vertex of a triangle to the opposite •ide, the rectangle contained by the other sides of the triangle is equal to the rectangle contained...and the diameter of the circle described about the triangleThe rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal...
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The Thirteen Books of Euclid's Elements

Euclid
...straight line be drawn perpendicular to the opposite side, the rectangle contained by the other two sides of the triangle is equal to the rectangle contained...by the perpendicular and the diameter of the circle circumscribed about the triangle. Let ABC be a triangle and AD the perpendicular on AB. diameter AE...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumer 15-16

1870
...proposition of Euclid. 5. 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 line bisecting the angle. If AD be the line...
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The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

Euclid - 1908 - 167 sider
...B.) ENUNCIATION. If the vertical angle of a triangle be bisected by a straight line which also 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 on the straight line which bisects the angle. Let...
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Parliamentary Papers, Volum 17

Great Britain. Parliament. House of Commons - 1871
...an angle of a triangle be bisected by a straight line, which likewise cuts the base, the rectarfgle 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 line bisecting the angle. If AT) be the line...
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Calendar

University of St. Andrews - 1897
...its vertex. 6. From the vertex of a triangle a line is drawn perpendicular to the base ; show that the rectangle contained by the sides of the triangle is equal to twice the rectangle contained by the perpendicular and the radius of the circum-circle. ABCD is a cyclic...
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