Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6 - updated version includes calculation of minimum & maximum points

Exercise 7 - updated to correct typo: equilateral replaced by isosceles

Exercise 8

Exercise 9 - updated to make the proof easier to follow 19/01/2015

Exercise 10 - updated to change equilateral to isosceles & clarify 18/01/2015

Exercise 11

Exercise 12 - updated 25/7/2014 to correct typo in figure 2 (see blog for details)

Exercise 13 - updated 12/10/2014 (see blog for details)

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

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Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28 - corrected version uploaded 15/10/2013 (see blog for details)

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

Exercise 34 - corrected version uploaded 20/11/2013 (see blog for details)

Exercise 35

Exercise 36 - corrected version uploaded 26/11/2013 (see blog for details)

Exercise 37

Exercise 38

Exercise 39

Exercise 40 - last updated 11/01/2014 (see blog for details)

Exercise 41 - last updated 11/01/2014 (see blog for details)

Exercise 42

Exercise 43

Exercise 44

Exercise 45