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PROPOSITION I. 9 AS A SPECIMEN OF A WRITTEN PROPOSITION.

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26. 3".

30. 37.5 mm.

27, 1.6".

23. (i)·968 sq. in.; (ii) 1·5 sq. in.; (iii) 1·33 sq. in.; (iv) 6·5 sq. cm. 24. (i) 65 sq. in.; (ii) ·726 sq. in.; (iii) 10-4 sq. cm.; (iv) 10.4 sq. cm. 25. A line || to the base at a distance 4 cm. 28. 5.31 cm. 29. 3.69 cm., 7.67 cm. 32 (i) 24; (ii) 1·875; (iii) 6·72; (iv) 1·77; (viii) 1.74. 38. (i) 3'6"; (ii)

34. 1.73".

(v) 1·92; (vi) 7·82; (vii) 2·5; 35. 3.16". 37. 34-8 mm.

33. 46°. 2.24"; (iii) 6.4 mm.; (iv.) 5.39 mm.; (v) 2·65"; (vii) 5·74 cm.; (viii) 6·56 cm. 41. 4.898 mm.

(vi) 4.8 cm.;

40. 6.45 cm.

3. 3.74 cm.

39. 1.58".

ANSWERS TO THE PRACTICAL EXERCISES ON BOOK II.

4. 1.82".

5. (i) 2·65′′; (ii) 3·16 cm.; (iii) 4·36 cm.; (iv) 4·8 cm.; (v) 2·12′′; (vi) 1·81′′. 6. 2.37", -63"

10. 4.68, 4-28.

16. 3.24".

7. 5.3 cm., 1.7 cm. 8. 53, 1·7. 9. 15·5, 4·5.
11. 1.94". 13. 20.8 mm.
17. 1.83". 18. 4.5".

15. 1.15", 1.15", 7".

19. A circle of radius 1.87 cm. whose centre bisects AB.

20. Two lines 1 to AB and trisecting AB.

21. 4.27 cm.

22. 12".

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UNIVERSITY TUTORIAL PRESS LD.

(University Correspondence College Press).

W. B. CLIVE, 157 DRURY LANE, LONDON, W.C.

CONTENTS.

MATHEMATICS AND MECHANICS.

CHEMISTRY

PHYSICS

BIOLOGY

MODERN HISTORY

ENGLISH LANGUAGE AND LITERATURE

ENGLISH CLASSICS

MENTAL AND MORAL SCIENCE

FRENCH

LATIN AND GREEK CLASSICS

LATIN AND GREEK GRAMMARS, ETC.
ROMAN AND GREEK HISTORY

THE UNIVERSITY CORRESPONDENT-DIRECTORIES
THE ORGANIZED SCIENCE SERIES

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A List of Books for London University Students, classified for the various Examinations, List of Books for the Cambridge and Oxford Locals and the College of Preceptors Examinations, and also the Complete Catalogue of the University Tutorial Series, may be had post free on application to IV. B. CLIVE, The University Tutorial Press Warehouse, 157 Drury Lane, W.C.

OCTOBER 1903.

THE UNIVERSITY TUTORIAL SERIES.

The University Tutorial Series.

General Editor: WM. BRIGGS, LL.D., M.A., F.C.S., F.R.A.S. Classical Editor: B. J. HAYES, M.A.

The object of the UNIVERSITY TUTORIAL SERIES is to provide candidates for examinations and learners generally with text-books which shall convey in the simplest form sound instruction in accordance with the latest results of scholarship and scientific research. Important points are fully and clearly treated, and care has been taken not to introduce details which are likely to perplex the beginner.

The Publisher will be happy to entertain applications from Schoolmasters for specimen copies of any of the books mentioned in this List.

SOME PRESS OPINIONS,

"This series is successful in hitting its mark and supplying much help to students in places where a guiding hand is sorely needed."-Journal of Education.

"The volumes in this series are strictly practical."-Guardian.

"The series is eminently successful."-Spectator.

"The classical texts in this series are edited by men who are thoroughly masters of their craft."-Saturday Review.

"This series of educational works has been brought to a high level of efficiency."— Educational Times.

"The more we see of these excellent manuals the more highly do we think of them."-Schoolmaster.

"The evident care, the clearly conceived plan, the genuine scholarship, and the general excellence of the productions in the series give them high claims to commendation."-Educational News.

"This useful series of text-books."-Nature.

"It may justly be said that any books published in this series are admirably adapted for the needs of the large class of students for whom they are intended." Cambridge Review.

"Clearness in statement and orderliness in arrangement characterise the publications of the University Correspondence College Press."-Oxford Magazine.

THE UNIVERSITY TUTORIAL SERIES.

3

Mathematics and
and Mechanics.

Algebra, The New Matriculation. Being the Tutorial Algebra,
Elementary Course, adapted to the London Matriculation Revised
Syllabus. By RUPERT DEAKIN, M.A., Headmaster of Stourbridge
Grammar School. With a Supplement on Graphs. (With or
without Answers.) 3s. 6d.

Algebra and Geometry, Matriculation Advanced. Edited by WM. BRIGGS, LL.D., M.A. 4s. 6d.

Algebra, The Tutorial. ADVANCED COURSE. By WM. BRIGGS, LL.D., M.A., and G. H. BRYAN, Sc. D., F.R.S. 6s. 6d.

"All the theorems usually associated with advanced algebra are here given, with proofs of remarkable force and clearness."-Schoolmaster.

Algebra, A Middle. By WM. BRIGGS, LL.D., M.A., F.R.A.S., and G. H. BRYAN, Sc.D., M.A., F.R.S. 3s. 6d.

Arithmetic, The Tutorial. By W. P. WORKMAN, M.A., B.Sc., Headmaster of Kingswood School, Bath. (With or without Answers.) 4s. 6d.

38. 6d.

"A distinct advance on most existing text-books."-Practical Teacher. Arithmetic, The School. By W. P. WORKMAN, M.A., B.Sc. (With or without Answers.) Arithmetic, The Junior. R. H. CHOPE, B.A.

Adapted from the Tutorial Arithmetic by (With or without Answers.) 2s. 6d.

"Excellent."-Educational Times. Arithmetic, Clive's Shilling.

[In preparation.

M.A.,

Astronomy, Elementary Mathematical. By C. W. C. BARLOW, M.A., Lond. and Camb., B.Sc. Lond., and G. H. BRYAN, Sc.D., F.R.S. Second Edition, with Answers. 6s. 6d. "Probably within the limits of the volume no better description of the methods by which the marvellous structure of scientific astronomy has been built up could have been given."-Athenæum.

Book-keeping, Practical Lessons in. Adapted to the requirements of

the Society of Arts, London Chamber of Commerce, Oxford and Cambridge Locals, etc. By T. C. JACKSON, B.A., LL.B. 3s. 6d. "Well-adapted for teaching purposes, containing as it does a considerable number of useful examples and decidedly lucid descriptions."-The Accountant. Book-keeping, Junior (or The Preceptors'). By T. C. JACKSON B.A., LL.B. 1s. 6d.

The Right Line and Circle (Coordinate Geometry).

BRIGGS, and DR. BRYAN. Third Edition. 3s. 6d.

By DR.

"It is thoroughly sound throughout, and indeed deals with some difficult points with a clearness and accuracy that has not, we believe, been surpassed."-Education Coordinate Geometry (The Conic). By J. H. GRACE, M.A., Fellow of St. Peter's College, Cambridge, and F. ROSENBERG, M.A. Camb., B.Sc. Lond. 3s. 6d.

"The chapters on systems of conics, envelopes, and harmonic section are a valuable addition to scholarship students."-Guardian.

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