# Category:Euclid Book IX

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These proofs can all be found in Book $\text {IX}$ 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 IX"

The following 38 pages are in this category, out of 38 total.

### C

### E

- Elements of Geometric Sequence from One Divisible by Prime
- Elements of Geometric Sequence from One where First Element is not Power of Number
- Elements of Geometric Sequence from One where First Element is Power of Number
- Elements of Geometric Sequence from One which are Powers of Number
- Elements of Geometric Sequence from One which Divide Later Elements
- Elements of Geometric Sequence from One which Divide Later Elements/Porism
- Euclid's Theorem
- Even Number minus Even Number is Even
- Even Number minus Odd Number is Odd
- Expression for Integer as Product of Primes is Unique

### N

### O

### P

### S

- Square of Cube Number is Cube
- Sum of Even Integers is Even/Proof 2
- Sum of Even Number of Odd Numbers is Even
- Sum of Geometric Sequence/Corollary 1
- Sum of Geometric Sequence/Corollary 1/Proof 1
- Sum of Odd Number of Odd Numbers is Odd
- Sum of Pair of Elements of Geometric Sequence with Three Elements in Lowest Terms is Coprime to other Element