Responsions; Papers in Stated Subjects-Exclusive of Books-, 1901-1906

Responsions; Papers in Stated Subjects-Exclusive of Books-, 1901-1906

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 edition. Excerpt: ...P on AC. 8. Two circles touch one another externally at the point X, and a straight line is drawn touching the circles at the points U and D. Show that CX D is a right angle. III. HILARY TERM, 1903. 7. If two equal triangles stand on opposite sides of the same base, the line joining their vertices is bisected by the base. 8. The straight lines drawn perpendicular to the sides of a triangle through their middle points meet in a point. 9. If two tangents be drawn to a circle from a point without it, the centre of the circle lies on the straight line bisecting the angle between them. IV. SEPTEMBER, 1903. 4. D and E' are the middle points of the sides BC, CA of the triangle ABC. AD and BE are joined and produced to A', B', so that DA'=AD and EB' =BE. Prove that A'C'B' is a straight line, and is parallel to AB. 7. If D, E are the feet of the perpendiculars from the vertices A, B of the triangle ABC to the opposite sides, proge lthat a circle can be drawn through the points A, E. V. MICHAELMAS TERM, 1903. 5. If ABC be a triangle, and D, E, F the middle points of its sides, prove that the area of the triangle DEF is equal to a quarter of the area of the triangle ABC. 8. If D be the middle point of the side BC of the triangle ABC, prove that the sum of the squares on AB, AC is equal to twice the sum of the squares on VI. HILARY TERM, 1904. 3. ABCD is a parallelogram; E is a point on AB. Describe on AE as base a parallelogram equal to ABCD and having the angle EAD for one of its angles. 5. If a straight line be divided as in Euclid II. 11, prove that the sum of the squares on the whole line and on its smaller part is equal to thrice the rectangle contained by the whole and that part. 7. ABC, APQ are more

Product details

  • Paperback | 28 pages
  • 189 x 246 x 2mm | 68g
  • United States
  • English
  • black & white illustrations
  • 1236825594
  • 9781236825599