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" If from the vertical 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... "
A Supplement to the Elements of Euclid - Page 366
by Daniel Cresswell - 1819 - 410 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...bisected by a straight line, which likeirise cuts the base ; the rectangle, contained by the ğides of the triangle, is equal to the rectangle, contained...the segments of the base, together with the square on the line bisecting the angle. A Let / BAC of the A ABC be bisected by the st. line AD. Then rect....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...PROPOSITION C. THEOREM. If from the vertical 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. Let ABC be a triangle,...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...the triangle. 11. If from the vertical 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. II. ARITHMETIC. (Including...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...to that included by them. If from the vertical angle of a triangle a perpendicu1ar be drawn to tJie 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 circumscribed about the triangle. A Let ABC be a triangle,...
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Weekly problem papers, with notes. [With] Solutions

John James Milne - 1885 - 392 pages
...triangle — f R2 (sin3 Л cos (B - (?) + sin3 В cos (C - A} + sin3 С cos (A - £)}. 5. If the vertical angle of a triangle be bisected by a straight line...the triangle is equal to the rectangle contained by two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle....
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Examinations Papers

1885 - 522 pages
...paper.) I. — 1. If from the vertical 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. 2. Prove that the tangent...
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Examinations Papers

1887 - 644 pages
...intersection of these perpendiculars to the circumference of the circumscribing circle. 15. If the vertical angle of a triangle be bisected by a straight line...contained by the sides of the triangle is equal to that contained by the segments of the base together with the square on the straight line which bisects...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...parallelogram ABCD. n. If from the vertical 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. II. ARITHMETIC. [NB...
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Wisconsin Journal of Education, Volume 20

Education - 1890 - 722 pages
...triangle similar to a given triangle. 3. If the vertical angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line which bisects the angle. 4. What fraction of a right angle will the angles of...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...one enunciation. PROPOSITION C. THEOREM. If from any angle of a triangle a perpendicular be drawn 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. In A ABC let AD be drawn...
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