AMNER'S EIGHT YEARS' SCHOLARSHIP QUESTIONS (DEDUCTIONS, ETC.), IN Euclid, Algebra, & Mensuration, WORKED OUT IN FULL, AS MODELS FOR PREFACE. IT is hoped that the Solutions given in the following pages will be found of service to Pupil Teachers as well as to intending Candidates for the Queen's Scholarship Examination. The Examples are mostly worked as they should be shown on an Examination Paper. The Appendix will be found to contain a careful selection of 200 Exer cises already given at various Government Ex minations, QUEEN'S SCHOLARSHIP EXAMINATIONS. Scholarship Examination for 1871. EUCLID. 6. Construct a square equal to the sum of three given squares. Let A, B, and C be the sides of the three given squares: it is required to construct a square equal in area to the three squares described upon the straight lines A, B, and C. G ABC At D draw DF at right angles to DE (1. 11), and equal to B (I. 3). Join FE (Post. 1). At F in the straight line FE draw FG at right angles to FE (I. 11); and make FG equal to C (1. 3). Join GE; then The square described upon GE is equal to the squares described on A, B, and C. Proof. Because the angle FDE is a right angle, the A |