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The lost solar system of the ancients discovered (1856)

Wilson, John, writer in astronomy · London Longman, Brown, Green, Longmans, & Roberts · leaf 65

An illustration from The lost solar system of the ancients discovered, 1856, leaf 65
d from the sum ofn terms of the 1st series = the sum of \n terms of the 3rd series. When the series 1+2 + 3, &c. is squared, as l2 + 22 + 32,&c, the sum of \n terms of this, the 1st series, x by 4, or23, = the sum of \n terms of the 2nd series, 22 + 42 + 62. When cubed, as l3 + 23 + 33, the… … Fig. 25. SERIES SUMMED. 53 Thus from the sum of the series 1+2 + 3 to the power of2, 3, or 4, the sum of the series 1+3 + 5, to the power of2, 3, or 4 may be found. Also in the series 1+2 + 3, &c. ±n terms of the 1 st seriesxby 2, or 2,=irc terms of the 2nd series, 2 + 4 + 6. Fig. 25. Four…

Building -- History · Pyramids -- Curiosa and miscellany · Sepulchral monuments

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