Part 1

Produced by Chris Curnow, Carla Foust, Lindy Walsh and the Online Distributed Proofreading Team at https://www.pgdp.net. Music transcribed by Linda Cantoni.

Transcriber's note

Minor punctuation errors have been changed without notice. Printer errors have been changed and are listed at the end. All other inconsistencies are as in the original.

In this version the square root symbol is indicated by [** sqrt], the superscript by ^, and the therefore symbol by [** therefore].

A TANGLED TALE

Frontispiece.]

A TANGLED TALE

LEWIS CARROLL

WITH SIX ILLUSTRATIONS

ARTHUR B. FROST

Hoc meum tale quale est accipe.

SECOND THOUSAND.

London MACMILLAN AND CO. 1885

RICHARD CLAY & SONS, BREAD STREET HILL, LONDON, E.C.

And Bungay, Suffolk.

To My Pupil.

Beloved pupil! Tamed by thee, Addish-, Subtrac-, Multiplica-tion, Division, Fractions, Rule of Three, Attest thy deft manipulation!

Then onward! Let the voice of Fame From Age to Age repeat thy story, Till thou hast won thyself a name Exceeding even Euclid's glory!

PREFACE.

This Tale originally appeared as a serial in The Monthly Packet, beginning in April, 1880. The writer's intention was to embody in each Knot (like the medicine so dexterously, but ineffectually, concealed in the jam of our early childhood) one or more mathematical questions--in Arithmetic, Algebra, or Geometry, as the case might be--for the amusement, and possible edification, of the fair readers of that Magazine.

L. C.

October, 1885.

CONTENTS.

KNOT PAGE

I. EXCELSIOR 1

II. ELIGIBLE APARTMENTS 4

III. MAD MATHESIS 13

IV. THE DEAD RECKONING 19