This is impossible for any convex shape, so one will need to exploit the non-convexity of a bagel. The first cut needs to be such that two u-shapes are left. This is achieved best if the cutting plane is tilted with respect to the planes of symmetry of the bagel. Now, stack the two u-shapes and cut them both into three pieces using 1 cut, cutting of the 'legs' of the u's. Now we have 6 pieces and 1 cut to go, so stack all the pieces and cut right through to give 12 pieces in three cuts.
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A Knife
1) One vertical cut in half.2) A second vertical cut at 90 degrees to the previous one. You should now have 4 equal pieces.3) Make a cut parallel to the table, halfway through the cake. Like you are slicing a bagel in half or a subway sandwich. Should now have 8 equal pieces.4) Eat one piece!
3 right to left and 1 time down the middle towards you
the normal amount would be 17
As no constraints on the shape or regularity of the resulting pieces are made, making a three by tree line grid on the pie surface would result in 16 separate pieces. Cutting the pie into regular wedges with 6 straight cuts passing through the center would result in 12 pieces.