Category:Euclid Book V
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These proofs can all be found in Book $\text {V}$ 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 V"
The following 30 pages are in this category, out of 30 total.
E
M
- Magnitudes Proportional Compounded are Proportional Separated
- Magnitudes Proportional Separated are Proportional Compounded
- Magnitudes with Same Ratios are Equal
- Multiples of Terms in Equal Ratios
- Multiples of Terms in Equal Ratios/Euclid's Proof
- Multiplication of Numbers is Left Distributive over Addition
- Multiplication of Numbers is Right Distributive over Addition
- Multiplication of Real Numbers is Left Distributive over Subtraction
- Multiplication of Real Numbers is Left Distributive over Subtraction/Proof 1
- Multiplication of Real Numbers is Right Distributive over Subtraction
P
R
- Ratio Equals its Multiples
- Ratios of Equal Magnitudes
- Ratios of Equal Magnitudes/Porism
- Relative Sizes of Components of Ratios
- Relative Sizes of Elements in Perturbed Proportion
- Relative Sizes of Magnitudes on Unequal Ratios
- Relative Sizes of Proportional Magnitudes
- Relative Sizes of Ratios on Unequal Magnitudes
- Relative Sizes of Successive Ratios