+--------+----------------------+------+---------+-------+---------+ | No. of |Area of Half Sections.| | |Multi- | | |Sections+----------------------+ Simpson’s |pliers | Moments | | for |Successive |Difference| Multipliers. | for | for | | Disp- |Readings of| between | | |Centre | Centre | | lace- |Planimeter.| Readings | Functions.| of | of | | ment. | | = Area in| | | Buoy- |Buoyancy.| | | | sq. ins.| | | ancy. | | +--------+-----------+----------+------+---------+-------+---------+ | | 52·73 | | | | | | | 1 | 52·73 | 0·0 | 1 | 0·0 | 0 | 0·00 | | 2 | 54·55 | 1·82 | 4 | 7·28 | 1 | 7·28 | | 3 | 58·98 | 4·43 | 2 | 8·86 | 2 | 17·72 | | 4 | 64·61 | 5·63 | 4 | 22·25 | 3 | 67·56 | | 5 | 70·73 | 6·12 | 2 | 12·24 | 4 | 48·96 | | 6 | 77·05 | 6·32 | 4 | 25·28 | 5 | 126·40 | | 7 | 83·37 | 6·32 | 2 | 12·64 | 6 | 75·84 | | 8 | 89·64 | 6·27 | 4 | 25·08 | 7 | 175·56 | | 9 | 95·75 | 6·11 | 2 | 12·22 | 8 | 97·76 | | 10 | 01·45 | 5·7 | 4 | 22·8 | 9 | 205·20 | | 11 | 06·09 | 4·64 | 2 | 9·28 | 10 | 92·80 | | 12 | 08·57 | 2·48 | 4 | 9·92 | 11 | 109·12 | | 13 | 08·57 | 0·0 | 1 | 0·0 | 12 | 0·00 | +--------+-----------+----------+------+---------+-------+---------+ | (mult. for) } | | (Com. int.) (¼th scale) (both sides) } 168·12 168·12) 1024·20 | | 28·6 × 16 × 2 } = 8·716 ) ------- | | ------------------------------------ } ------ 6·09*| | (Simpson’s Mult.) (cub. ft. to ton.) } 100872 | | 3 × 35 16812 | | 117684 | | *6·09 × 28·6 (Com. Int.) 134496 | | = 174·2 Centre of Buoy. --------- | | forward of No. 1 Ordinate. 1465·33392 tons m’l’d dis’p’t.| +------------------------------------------------------------------+