 | John James Milne - 1885 - 392 pagina’s
...С 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...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.... | |
 | 1885 - 522 pagina’s
...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... | |
 | 1887 - 644 pagina’s
...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 - 1889 - 356 pagina’s
...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... | |
 | 1890 - 714 pagina’s
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagina’s
...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... | |
 | Royal Military College, Sandhurst - 1890 - 144 pagina’s
...triangle having each of the angles at the base one-third part of the remaining angle. 5. If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, prove that the rectangle contained by the sides of the triangle is equal to the rectangle contained... | |
 | James Andrew Blaikie, William Thomson - 1892 - 74 pagina’s
...meet the base, or base produced, the difference of the squares on this line, and on one of the equal sides of the triangle, is equal to the rectangle contained by the segments of the base. (A Standard Theorem.) In the A ABC, let AB = AC, and P be any point in BC, or BC produced, it is required... | |
 | Euclid - 1892 - 460 pagina’s
...n PROPOSITION B. THEOREM. If the vertical angle of a triangle be bisected by a straight line which cuts the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the segments of the base, together with the square on... | |
 | 1899 - 1072 pagina’s
...circle. 18 6. If the vertical angle of a triangle be bisected by a straight line which like- 18 wise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square or the straight line which bisects the angle. PLANE GEOMETRY (2ND PAPER). TIME, 3 HOURS. 7. If lines... | |
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If the vertical angle of a triangle be bisected by a straight line which also cute 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... 
