 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...  A Supplement to the Elements of Euclid - Page 327by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Euclides - Euclid's Elements - 1881 - 236 pages
...angle, &c. QED If from any angle of a triangle a straight line he drawn perpendicular to the bate ; the rectangle contained by the sides of the triangle...equal to the rectangle contained by the perpendicular end the diameter of the circli described about the triangle. • Let ABC be a triangle, and AD the... | |
 | Samuel Constable - Geometry - 1882 - 222 pages
...last.] 13. Prove that the rectangle contained by a side of this square and a line equal to the sum of the sides of the triangle is equal to the rectangle contained by the sides. 14. Inscribe a square in any triangle; and prove that the rectangle contained by a side... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 segments of the base, together with the square on the straight line which bisects the angle. Let... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...parallel. 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. II.... | |
 | John James Milne - 1885 - 392 pages
...cos (A - £)}. 5. 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 two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle.... | |
 | Euclides - 1885 - 340 pages
...extended to each of the escribed circles of the triangle ACB. 5. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the perpendicular and the diameter of the circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...extended to each of the escribed circles of the triangle ACB. 6. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the perpendicular and the diameter of the circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
 | 1887 - 644 pages
...circumscribing circle. 15. 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 that contained by the segments of the base together with the square on the straight line which bisects... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...areas of the triangles AGB, FGE. n. If an angle of a triangle be bisected by a straight line which 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 straight line which bisects the angle. If... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 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 bisecting the angle. Let L... | |
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