# data[].attributes.attachment_link.title
Construction 9. Angle of a given number of degrees with a given ray as one arm

# data[].attributes.body
https://padlet.com/rdownes/constructions
https://padlet.com/rdownes/c1
https://padlet.com/rdownes/c2
https://padlet.com/rdownes/c3
https://padlet.com/rdownes/c4
https://padlet.com/rdownes/c5
https://padlet.com/rdownes/c6
https://padlet.com/rdownes/c7
https://padlet.com/rdownes/c8
https://padlet.com/rdownes/c9
https://padlet.com/rdownes/c10
https://padlet.com/rdownes/c11
https://padlet.com/rdownes/c12
https://padlet.com/rdownes/c13
https://padlet.com/rdownes/c14
https://padlet.com/rdownes/c15
https://padlet.com/rdownes/c16
https://padlet.com/rdownes/c17
https://padlet.com/rdownes/c18
https://padlet.com/rdownes/c19
https://padlet.com/rdownes/c20
https://padlet.com/rdownes/c21
https://padlet.com/rdownes/c22
https://padlet.com/rdownes/c23
https://padlet.com/rdownes/c24
https://padlet.com/rdownes/c25
https://padlet.com/rdownes/c26
Unifying Strand
https://padlet.com/rdownes/u
https://padlet.com/rdownes/u1
https://padlet.com/rdownes/u2
https://padlet.com/rdownes/u3
https://padlet.com/rdownes/u4
https://padlet.com/rdownes/u5
https://padlet.com/rdownes/u6
https://padlet.com/rdownes/u7
https://padlet.com/rdownes/u8
https://padlet.com/rdownes/u9
https://padlet.com/rdownes/u10
https://padlet.com/rdownes/u11
https://padlet.com/rdownes/u12
https://padlet.com/rdownes/u13
Number Strand
https://padlet.com/rdownes/n
https://padlet.com/rdownes/n1
https://padlet.com/rdownes/n2
https://padlet.com/rdownes/n3
https://padlet.com/rdownes/n4
https://padlet.com/rdownes/n5
2. Geometry and Trigonometry
https://padlet.com/rdownes/gt
https://padlet.com/rdownes/gt1
https://padlet.com/rdownes/gt2
https://padlet.com/rdownes/gt3
https://padlet.com/rdownes/axioms
https://padlet.com/rdownes/theorems
https://padlet.com/rdownes/corollaries
https://padlet.com/rdownes/converses
https://padlet.com/rdownes/gt4
https://padlet.com/rdownes/gt5
https://padlet.com/rdownes/gt6
Algebra and Functions Strand
https://padlet.com/rdownes/af
https://padlet.com/rdownes/af1
https://padlet.com/rdownes/af2
https://padlet.com/rdownes/af3
https://padlet.com/rdownes/af4
https://padlet.com/rdownes/af5
https://padlet.com/rdownes/af6
https://padlet.com/rdownes/af7
Statistics and Probability Strand
https://padlet.com/rdownes/sp
https://padlet.com/rdownes/sp1
https://padlet.com/rdownes/sp2
https://padlet.com/rdownes/sp3

https://padlet.com/rdownes/constructions
https://padlet.com/rdownes/axioms
https://padlet.com/rdownes/theorems
1. Statistics and Probability
https://padlet.com/rdownes/lcm10
https://padlet.com/rdownes/lcm11
https://padlet.com/rdownes/lcm12
https://padlet.com/rdownes/lcm13
https://padlet.com/rdownes/lcm14
https://padlet.com/rdownes/lcm15
https://padlet.com/rdownes/lcm16
2. Geometry and Trigonometry
https://padlet.com/rdownes/lcm16h
https://padlet.com/rdownes/lcm17
https://padlet.com/rdownes/lcm20
https://padlet.com/rdownes/lcm21
https://padlet.com/rdownes/lcm22
https://padlet.com/rdownes/lcm23
https://padlet.com/rdownes/axioms
https://padlet.com/rdownes/theorems
https://padlet.com/rdownes/corollaries
https://padlet.com/rdownes/converses
https://padlet.com/rdownes/lcm24
3. Number
https://padlet.com/rdownes/lcm30
https://padlet.com/rdownes/lcm31
https://padlet.com/rdownes/lcm32
https://padlet.com/rdownes/lcm33
https://padlet.com/rdownes/lcm34
4. Algebra
https://padlet.com/rdownes/lcm40
https://padlet.com/rdownes/lcm41
https://padlet.com/rdownes/lcm42
https://padlet.com/rdownes/lcm43
https://padlet.com/rdownes/lcm44
5. Functions
https://padlet.com/rdownes/lcm50
https://padlet.com/rdownes/lcm51
https://padlet.com/rdownes/lcm52
5.Admin
https://padlet.com/rdownes/lcm73
https://padlet.com/rdownes/lcm74
https://padlet.com/rdownes/lcm75
https://docs.google.com/spreadsheets/d/151JWdfTP1meZvWdYKv9dpgACVahnAOzF6G8aAwfyF30/edit?usp=sharing
https://padlet.com/rdownes/triangles
https://padlet.com/rdownes/circles
https://padlet.com/rdownes/quadrilaterals
https://padlet.com/rdownes/polygons
https://padlet.com/rdownes/rhombus
https://padlet.com/rdownes/kites
https://padlet.com/rdownes/angles
https://padlet.com/rdownes/parallelograms
https://padlet.com/rdownes/parallels
https://padlet.com/rdownes/perpendiculars
https://padlet.com/rdownes/lines
https://padlet.com/rdownes//root
https://padlet.com/rdownes/constructions
https://padlet.com/rdownes/perpendiculars
https://padlet.com/rdownes/perpendiculars
https://padlet.com/rdownes/perpendiculars

# data[].attributes.attachment_link.readable_text
Project Gutenberg's First Six Books of the Elements of Euclid,
by John Casey

This eBook is for the use of anyone anywhere at no cost and with
almost no restrictions whatsoever. You may copy it, give it away or
re-use it under the terms of the Project Gutenberg License included
with this eBook or online at www.gutenberg.net

Title: The First Six Books of the Elements of Euclid

Subtitle: And Propositions I.-XXI. of Book XI., and an
Appendix on the Cylinder, Sphere, Cone, etc.,

Author: John Casey

Author: Euclid

Release Date: April 14, 2007 [EBook #21076]

Language: English

Character set encoding: TeX

*** START OF THE PROJECT GUTENBERG EBOOK ELEMENTS OF EUCLID ***

Produced by Joshua Hutchinson, Keith Edkins and the
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Tr a n s c r i b e r's No t e: The Index has been regenerated to fit the pagination of this edition. Despite the author's stated hope that "few misprints have escaped detection" there were several, which have here been corrected and noted at the end of the text.

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THE ELEMENTS OF EUCLID, BOOKS I.-VI., AND
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DUBLIN: HODGES, FIGGIS, & CO.
LONDON: LONGMANS & CO.

THE FIRST SIX BOOKS

OF THE

ELEMENTS OF EUCLID,

AND

PROPOSITIONS I.-XXI. OF BOOK XI.,

AND AN

APPENDIX ON THE CYLINDER, SPHERE,
CONE, E TC. ,

WITH

COPIOUS ANNOTATIONS AND NUMEROUS EXERCISES.

BY

J O H N C A S E Y, LL. D., F. R. S.,

FELLOW OF THE ROYAL UNIVERSITY OF IRELAND;
MEMBER OF COUNCIL, ROYAL IRISH ACADEMY;
MEMBER OF THE MATHEMATICAL SOCIETIES OF LONDON AND FRANCE;
AND PROFESSOR OF THE HIGHER MATHEMATICS AND OF
MATHEMATICAL PHYSICS IN THE CATHOLIC UNIVERSITY OF IRELAND.

THIRD EDITION, REVISED AND ENLARGED.

DUBLIN: HODGES, FIGGIS, & CO., GRAFTON-ST.

LONDON: LONGMANS, GREEN, & CO.

1885.

DUBLIN

PRINTED AT THE UNIVERSITY PRESS,

BY PONSONBY AND WELDRICK

This edition of the Elements of Euclid, undertaken at the request of the principals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt by teachers at the present day-the production of a work which, while giving the unrivalled original in all its integrity, would also contain the modern conceptions and developments of the portion of Geometry over which the Elements extend. A cursory examination of the work will show that the Editor has gone much further in this latter direction than any of his predecessors, for it will be found to contain, not only more actual matter than is given in any of theirs with which he is acquainted, but also much of a special character, which is not given, so far as he is aware, in any former work on the subject. The great extension of geometrical methods in recent times has made such a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern times which require an accurate knowledge of Elementary Geometry, and to which it is in reality the best introduction.

In compiling his work the Editor has received invaluable assistance from the late Rev. Professor Townsend, s.f.t.c.d. The book was rewritten and considerably altered in accordance with his suggestions, and to that distinguished Geometer it is largely indebted for whatever merit it possesses.

The Questions for Examination in the early part of the First Book are intended as specimens, which the teacher ought to follow through the entire work. Every person who has had experience in tuition knows well the importance of such examinations in teaching Elementary Geometry.

The Exercises, of which there are over eight hundred, have been all selected with great care. Those in the body of each Book are intended as applications of Euclid's Propositions. They are for the most part of an elementary character, and may be regarded as common property, nearly every one of them having appeared already in previous collections. The Exercises at the end of each Book are more advanced; several are due to the late Professor Townsend, some are original, and a large number have been taken from two important French works-Ca t a l a n's Th éor èmes et Probl èmes de G éom étrie El émentaire, and the Trait é de G éom étrie, by Ro u c h é and De Co m b e r o u s s e .

The second edition has been thoroughly revised and greatly enlarged. The new matter includes several alternative proofs, important examination questions on each of the books, an explanation of the ratio of incommensurable quantities, the first twenty-one propositions of Book XI., and an Appendix on the properties of the Prism, Pyramids, Cylinder, Sphere, and Cone.

The present Edition has been very carefully read throughout, and it is hoped that few misprints have escaped detection.

The Editor is glad to find from the rapid sale of former editions (each 3000 copies) of his Book, and its general adoption in schools, that it is likely to accomplish the double object with which it was written, viz. to supply students with a Manual that will impart a thorough knowledge of the immortal work of the great Greek Geometer, and introduce them, at the same time, to some of the most important conceptions and developments of the Geometry of the present day.

86, So u t h Ci r c u l a r-r o a d, Du b l i n.

November, 1885.

# data[].attributes.attachment_link.title
First Six Books of the Elements of Euclid, by John Casey

# data[].attributes.attachment_link.description
Project Gutenberg's First Six Books of the Elements of Euclid, by John Casey This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away orre-use it under the terms of the Project Gutenberg License includedwith this eBook or online at www.gutenberg.net Title: The First Six Books of the Elements of Euclid Subtitle: And Propositions I.-XXI.