a a rc"equal parts AB, BC, . . . . , EN (Fig. C^ 19). a sm- Fig. 19. . na .n + 1 sin— . sin ■- a and S= a sm- 26. A similar process will lead to the reduction of K=cos a + cos(a + £) + cos(a + 25) + . . . + cos(a + nb), 2— sin a + sin(a + 5)+sin(a + 25) Draw AN and AB and through their + . . .… … u* + ... +nn- u— 1 being n in number. Make, moreover, KN + AK KN-KA AH=NI— b, and drawBI and AH. Then «= ~KB+AK KB-KA if KH=m, KB=y, we have AN _ri$ KC = vu, KD=vu2, . . . . , ab' % ~ m KN=vun, KI=«ran+1.
Engineering
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