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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 ... - Page 165
by Euclides - 1834
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 190 pages
...L. 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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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...difference between BF and GG. II. If any angle of a triangle is bisected by a straight lino which outs 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 line which bisects the angle. Whence Prove...
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Examination Papers

University of Toronto - 1901 - 1190 pages
...of corresponding points are parallel. 6. 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 shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1902 - 940 pages
...triangle a straight line be drawn perpendicular to the base, prove that the rectangle contained by the 8. sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. n 7. If three planes meet each other, prove from first principles that the lines of intersection are...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 634 pages
...в. If from any angle of a triangle a straight line be drawn perpendicular to the base, prove that the rectangle contained by the sides of the triangle...diameter of the circle described about the triangle. 7. If three planee meet each other, prove from first principles that the lines of intersection are...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...AD. QED EXERCISE. 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 shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described...
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Sessional Papers, Volume 37, Part 4

Ontario. Legislative Assembly - Ontario - 1905 - 1104 pages
...bisects the angle. If from the vertical angle of a triangle a straight line be drawn perpen dicular to the base, the rectangle contained by the sides of the triangle i equal to the rectangle contained by the perpendicular and the diameter q (he circle described about...
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Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 pages
...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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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...ratio of their sides. 10. 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. FINAL...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...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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