The document discusses the Golden Ratio and Rule of Thirds. The Golden Ratio is a ratio between segments of a line where the ratio of the larger segment to the smaller is the same as the ratio of the larger segment to the whole. A golden rectangle is one with side lengths in this ratio, and removing a square from it leaves another golden rectangle. The Rule of Thirds involves dividing an image into thirds and placing key elements along these lines or their intersections for improved composition.

1. The Golden Ratio
and the Rule of Thirds

2. The Golden Ratio
The ratio between the large segment

3. The Golden Ratio
The ratio between the large segment and the
small segment

4. The Golden Ratio
The ratio between the large segment and the
small segment is the same as between the large
segment

5. The Golden Ratio
The ratio between the large segment and the
small segment is the same as between the large
segment and the whole line.

6. The Golden Ratio
The ratio between the large segment and the
small segment is the same as between the large
segment and the whole line.

7. The Golden Ratio
φ = 1 ± √5
2
φ ≅ 1.61803398875

8. The Golden Rectangle
A golden rectangle is one whose side lengths are in the golden ratio.
A distinctive feature of this shape is that when a square section is
removed, the remainder is another golden rectangle.

9. The Golden Rectangle
A golden rectangle is one whose side lengths are in the golden ratio.
A distinctive feature of this shape is that when a square section is
removed, the remainder is another golden rectangle.

10. The Golden Rectangle
A golden rectangle is one whose side lengths are in the golden ratio.
A distinctive feature of this shape is that when a square section is
removed, the remainder is another golden rectangle.

11. The Golden Rectangle
A golden rectangle is one whose side lengths are in the golden ratio.
A distinctive feature of this shape is that when a square section is
removed, the remainder is another golden rectangle.

12. The Golden Spiral
A golden spiral is a logarithmic spiral whose growth
factor is φ. That is, a golden spiral gets wider by a
factor of φ for every quarter turn it makes.

13. The Rule of Thirds
We can use the golden ratio to divide up an image or
design. Important compositional elements should be
placed along these lines or their intersections.

14. The Rule of Thirds
We can use the golden ratio to divide up an image or
design. Important compositional elements should be
placed along these lines or their intersections.

15. The Rule of Thirds
We can use the golden ratio to divide up an image or
design. Important compositional elements should be
placed along these lines or their intersections.

16. The Rule of Thirds
We can use the golden ratio to divide up an image or
design. Important compositional elements should be
placed along these lines or their intersections.

17. The Rule of Thirds
We can use the golden ratio to divide up an image or
design. Important compositional elements should be
placed along these lines or their intersections.

18. The Rule of Thirds
This can be simplified down to the rule of thirds where an image is divided up into
thirds and again important compositional elements should be placed along these lines
or their intersections. Digital camera often have overlays to help with framing.

19. The Rule of Thirds
This can be simplified down to the rule of thirds where an image is divided up into
thirds and again important compositional elements should be placed along these lines
or their intersections. Digital camera often have overlays to help with framing.

20. The Rule of Thirds

21. The Rule of Thirds