Category:Euclid Book VIII
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These proofs can all be found in Book $\text {VIII}$ of Euclid's The Elements.
The specific form of these has been adapted from Sir Thomas L. Heath's Euclid: The Thirteen Books of The Elements: Volume 2, 2nd ed.
Pages in category "Euclid Book VIII"
The following 29 pages are in this category, out of 29 total.
B
C
F
G
I
- If First of Four Numbers in Geometric Sequence is Cube then Fourth is Cube
- If First of Three Numbers in Geometric Sequence is Square then Third is Square
- If Ratio of Cube to Number is as between Two Cubes then Number is Cube
- If Ratio of Square to Number is as between Two Squares then Number is Square
N
- Number divides Number iff Cube divides Cube
- Number divides Number iff Square divides Square
- Number does not divide Number iff Cube does not divide Cube
- Number does not divide Number iff Square does not divide Square
- Numbers between which exist two Mean Proportionals are Similar Solid
- Numbers between which exists one Mean Proportional are Similar Plane