WORKS BY I. TODHUNTER, M.A., F.R.S. Natural Philosophy for Beginners. With nu

merous Examples.

Part I. The Properties of Solid and Fluid Bodies. 18mo. 38. 6d.
Part II. Sound, Light, and Heat. 18mo. 38. 6d.

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Euclid for Colleges and Schools.

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Key to Exercises in Euclid.

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Mensuration for Beginners. With numerous

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Algebra for Beginners. With numerous Ex18mo. cloth. 28. 6d. Key to the Algebra for Beginners. New

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Trigonometry for Beginners.

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With numerous

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Mechanics for Beginners. With numerous Ex

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Algebra for the use of Colleges and Schools. With numerous Examples. New Edition. Crown 8vo. cloth. 73. 6d. Key to the Algebra for the use of Colleges

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A Treatise on the Theory of Equations. New

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MR TODHUNTER'S WORKS (continued).

Plane Trigonometry for Colleges and Schools. With numerous Examples. New Edition. Crown 8vo. cloth. 5. Key to the Plane Trigonometry for Colleges

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A Treatise on Spherical Trigonometry for the

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A Treatise on Conic Sections.

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ous Examples. New Edition. Crown 8vo. cloth. 78. 6d. A Treatise on the Differential Calculus. With numerous Examples. New Edition. Crown 8vo. cloth. 108. 6d. A Treatise on the Integral Calculus. With numerous Examples. New Edition. Crown 8vo. cloth. 10s. 6d.

Examples of Analytical Geometry of Three Di

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A Treatise on Analytical Statics. With numerous Examples. New Edition. Crown 8vo. cloth. An Elementary Treatise on Laplace's, Lame's,

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and Bessel's Functions. Crown 8vo.

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A History of the Mathematical Theory of Probability, from the time of Pascal to that of Laplace. 8vo. cloth. 183. A History of the Mathematical Theories of

Attraction and of the Figure of the Earth from the time of Newton to that of Laplace. In two Volumes. 8vo. 248.

The Conflict of Studies, and other Essays on

Subjects connected with Education. 8vo.

108. 6d.

MACMILLAN AND CO., LONDON.

EUCLID

FOR THE USE OF SCHOOLS AND COLLEGES.

EUCLID

A. MCC. WARREN.

FOR THE USE OF SCHOOLS AND COLLEGES;

COMPRISING THE FIRST SIX BOOKS AND PORTIONS OF THE ELEVENTH
AND TWELFTH BOOKS;

WITH NOTES, AN APPENDIX, AND EXERCISES

BY

I. TODHUNTER M.A., F.R.S.

London

MACMILLAN AND CO.

1883

[The Right of Translation is reserved.]