This work brings magic squares of orders 14, 16 and 18. These are constructed based on cornered magic squares and/or cornered magic rectangles. Orders 14 and 18 are with four equal sums cornered magic rectangles and magic squares of order 16 are with four equal sums cornered magic squares of order 8x8. There are two examples of order 16 made by cornered magic rectangles of orders 8x12 and 8x6.