 | Robert Potts - 1865 - 528 pages
...B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise outs the bast ; 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 tlw angle. Let... | |
 | Euclides - 1865 - 402 pages
...THEOREM. 7y an angle of a triangle be bisected by a straight tine which lihewise cuts the base ; then the rectangle contained by the sides of the triangle is equal to ihc rectangle contained by the segments of the base, together with the square of the straight line... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...B. THEOREM. Jf 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. Let... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION B. THEOREM. l/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 (he rectangle contained by the segments of the base, together with the square on the straight line... | |
 | Robert Potts - 1868 - 434 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...PROPOSITION B. THEOREM. // an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle, contained by the sides of...triangle, is equal to the rectangle, contained by the segments of the base, together with the square on the line bisecting the angle. Let L BAC of the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...proportionally. 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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...on AD. III. 35. QED PROPOSITION C. THEOREM. If from any angle of a triangk a straight line be drawn perpendicular to the base, the rectangle, contained...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.... | |
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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... 
