# Calendar: 1883-1884 Page 685

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681 WARNEFORD SCHOLARSHIPS Solve the equations β ν8 ν -0 f1 4J1 Find two numbers such that their ptoduct quotient and mm Ί sum may be all equal If prove that 2yjf 27 27 10 If is an imaginary root of ve that another IX- GttttiH wnen is one pvi another Prove the converse of this The angles at the base of an isosceles triangle are equal to one another What is corollanj Deduce corollary from this The interior angles of every triangle are equal to two right angles What is an axiom Upon what axiom does Euclid base his treatment of parallels State any other axiom that has been proposed to replace it and assuming the truth of the other axiom prove Euclid's What is hypothesis State the hypothesis of this The complements of the parallelogram that are about the diameter of any parallelogram are equal to one another What is construction Give the construction of this To divide straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part

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