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Book V

Byrne's edition - page by page ...

145 146-147 148-149 150-151 152-153 154-155 156-157 158-159 160-161 162-163 164-165 166-167 168-169 170-171 172-173 174-175 176-177 178-179 180-181 182-183 184-185 186-187 188-189 190-191 192-193 194-195 196-197 198-199 200-201 202-203 204-205 206-207 208-209 210

... and proposition by proposition

Book V is one of the most difficult in all of The Elements. Byrne's treatment reflects this, since he modifies Euclid's treatment quite a bit. For this reason we separate it from the traditional text.

Definitions 1 - 4
Axioms 1 - 3
Proposition 1
Proposition 2
Proposition 3
Proposition 1
Proposition 2
Proposition 3
Definition 5
Proposition 4
Proposition 5
Proposition 6
Proposition A
Proposition B
Proposition C
Proposition D
Proposition 7
Definition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Definition 13
Proposition 16
Definition 16
Proposition 17
Definition 15
Proposition 18
Proposition 19
Proposition E
Definition 19
Definition 20
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Definition 10
Definition 11
Definition A
Proposition F
Proposition G
Proposition H
Proposition K

The traditional text

With pictures in Java by David Joyce, and the well known comments from Heath's edition at the Perseus collection of Greek classics.

Introductory
David Joyce's Introduction to Book V

Definitions from Book V
David Joyce's Euclid
Heath's comments on

Proposition V.1
David Joyce's Euclid
Heath's comments

Proposition V.2
David Joyce's Euclid
Heath's comments

Proposition V.3
David Joyce's Euclid
Heath's comments

Proposition V.4
David Joyce's Euclid
Heath's comments

Proposition V.5
David Joyce's Euclid
Heath's comments

Proposition V.6
David Joyce's Euclid
Heath's comments

Proposition V.7
David Joyce's Euclid
Heath's comments

Proposition V.8
David Joyce's Euclid
Heath's comments

Proposition V.9
David Joyce's Euclid
Heath's comments

Proposition V.10
David Joyce's Euclid
Heath's comments

Proposition V.11
David Joyce's Euclid
Heath's comments

Proposition V.12
David Joyce's Euclid
Heath's comments

Proposition V.13
David Joyce's Euclid
Heath's comments

Proposition V.14
David Joyce's Euclid
Heath's comments

Proposition V.15
David Joyce's Euclid
Heath's comments

Proposition V.16
David Joyce's Euclid
Heath's comments

Proposition V.17
David Joyce's Euclid
Heath's comments

Proposition V.18
David Joyce's Euclid
Heath's comments

Proposition V.19
David Joyce's Euclid
Heath's comments

Proposition V.20
David Joyce's Euclid
Heath's comments

Proposition V.21
David Joyce's Euclid
Heath's comments

Proposition V.22
David Joyce's Euclid
Heath's comments

Proposition V.23
David Joyce's Euclid
Heath's comments

Proposition V.24
David Joyce's Euclid
Heath's comments

Proposition V.25
David Joyce's Euclid
Heath's comments