Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906Clarendon Press, 1907 - 152 pages |
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Page 65
... tangents to a circle from an external point , and prove that they are equal in length . Show also how to draw the two tangents to a circle which are parallel to a given straight line . 8. ( b ) A , B , C are three fixed points on a ...
... tangents to a circle from an external point , and prove that they are equal in length . Show also how to draw the two tangents to a circle which are parallel to a given straight line . 8. ( b ) A , B , C are three fixed points on a ...
Page 67
... tangents drawn to them from any point on the common chord are equal . 10. Describe a circle which shall pass through two fixed points and have its centre on a given straight line . What are the cases in which ( 1 ) no such circle can be ...
... tangents drawn to them from any point on the common chord are equal . 10. Describe a circle which shall pass through two fixed points and have its centre on a given straight line . What are the cases in which ( 1 ) no such circle can be ...
Page 68
... tangent at X. 10. O and P are the centres of two circles intersecting at A and B ; Q is the middle point of OP ... tangents . 8. ( b ) From two points P , Q , on the circumference of a circle , are drawn two parallel lines PA and ...
... tangent at X. 10. O and P are the centres of two circles intersecting at A and B ; Q is the middle point of OP ... tangents . 8. ( b ) From two points P , Q , on the circumference of a circle , are drawn two parallel lines PA and ...
Page 70
... tangents from which to a given circle are of given constant length , lie on a circle concentric with the given circle . VIII . SEPTEMBER , 1906 . 2. Construct an isosceles triangle whose vertical angle shall be four times each of the ...
... tangents from which to a given circle are of given constant length , lie on a circle concentric with the given circle . VIII . SEPTEMBER , 1906 . 2. Construct an isosceles triangle whose vertical angle shall be four times each of the ...
Page 72
... 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 ...
... 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 ...
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2nd pers 2nd person 2nd sing 3rd plur a²+b² ABCD angles aorist bisected cent centre circle compound interest cost Croesus dative decimal Divide equal feet Find the G. C. M. Find the number Find the square Find the value Give the gender Greek HILARY TERM income indic invested isosceles Latin locus MICHAELMAS TERM middle point miles Oratio Obliqua Oratio Recta paper parm perf perp person singular plural Prove quae quam SEPTEMBER sides Simplify Solve the equations square root straight line subj subjunctive tangents Translate triangle ABC TRINITY TERM Turn into Oratio vulgar fraction yards ἀλλ ἂν γὰρ δὲ δὴ εἰ εἶναι εἰς ἐν ἐπὶ καὶ μὲν οἱ οὐ οὐκ πρὸς τὰ τὰς τε τῇ τὴν τὸ τοῖς τὸν τοῦ τοὺς τῶν ὡς