Surely narrowed bars will increase reach?
No. Measure saddle tip to hoods on you own bike. Now go towards the centreline of the bike but at hood level. Measure again.
Pretty sure trigonometry produces the opposite result to what you suggest
Have a look at Samuli's picture a few post ups.
@Alf0nse started
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No. Measure saddle tip to hoods on you own bike. Now go towards the centreline of the bike but at hood level. Measure again.