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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 ... - الصفحة 180
بواسطة Euclides - 1816 - عدد الصفحات: 528
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - عدد الصفحات: 342
...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 on the straight line which bisects the angle. Let...

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - عدد الصفحات: 130
...be equal. 11. 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 segments of the base, together with the square on the straight line which bisects the angle. ALGEBRA....

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - عدد الصفحات: 382
...BD, DC together with sq. on AD. III. 35. QED PROPOSITION C. THEOREM. If from any angle of a triangk a straight line be drawn perpendicular to the base,...perpendicular and the diameter of the circle described about Hie triangle. Let ABC be a A , and AD the -i- from A to BC. Describe the © ABC about the A ABC, III....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - عدد الصفحات: 446
...PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line~vihich 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 on the straight line which bisects the angle. Let...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - عدد الصفحات: 268
.... . . , . . . 240 Б. 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 on the straight line bisecting the angle. . . ....

The Madras University Calendar, المجلد 1

University of Madras - 1876 - عدد الصفحات: 580
...radius. VI. 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 segments of the base, together with the square on the straight line which bisects the angle. FRIDAY,...

Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - عدد الصفحات: 452
...terms is equal to the sum of the co-efficients of the even terms. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base,...by the perpendicular and the diameter of the circle circumscribing the triangle. Having given n points on the circumference of a circle, show that 3.4.5...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - عدد الصفحات: 458
...external segments. PROPOSITION XXX. THEOREM. . If an angle of a triangle be bisected by a line lehich cuts the base, the rectangle contained by the sides of the triangle is equivalent to the rectangle contained by the segments of the base, together with the square of the...

The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - عدد الصفحات: 100
...Therefore, the rectangle contained &c. QED PEOP. I. THEOREM. If from the vertical angle of a triangle a' straight line be drawn perpendicular to the base, the rectangle contained by tie sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - عدد الصفحات: 398
...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 eqvjil to the rectangle, contained by the segments of the base, together with the square on the line...




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