< Page:Philosophical Transactions - Volume 003.djvu
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stop, is less than the remaining terms, and that the total of these is less than 43 of a third proportional to the two last.
And therefore ABCyE being | = | 0.75 ———— | —————— | 0.75 |
and Ed Cy | > | 0.05685279 | ——— and < | 0.05685290 |
And ABCdE is | < | 0.69314720 | ——— and > | 0.69314709 |
But when AE . BC :: 5. 4. or as EA. to KH. then will the space A B C E. or now, the space AHKE (AH = 14AB.) be found as follows.
8 x 9 x 10) | 1. (0.0013888888 | |
16 x 17 x 18) | 1. (0.0002042484 | 0.0003504472 |
18 x 19 x 20) | 1. (0.0001461988 | |
32 x 33 x 34) | 1. (0.0000278520 | 0.0000878204 |
34 x 35 x 36) | 1. (0.0000233426 | |
36 x 37 x 38) | 1. (0.0000197566 | |
38 x 39 x 40) | 1. (0.0000168691 |
0.0003888888 | ||
0.0003504472 | ||
3) | 0.0000878204 | ( 0.0000292735 |
0.0018271564 | ||
+ | 0.0000292735 | |
0.0018564299 | < Eab | |
But | 0.0003504472 | |
0.0000878204 | ||
0.00002200737 | ||
Therefore | 0.0018271564 | |
+ | 0.0000220074 | |
+ | 0.0000073358 | |
0.0018564996 | > Eab |
Therefore E M b. (Fig. 4.) | ||||
being | = | 0.025———— | ——— | 0.025 |
Eab | > | 0.0018564299 | ——&< | 0.0018564996 |
EMBa(Fig. 4.) or EKM (Fig. 1.) | > | 0.02685643— | ———< | 0.02685050 |
AHKM | < | 0.22314356— | ———> | 0.22314349 |
Therefore 3 A B CdE | = | 2.07944154 |
and AHKE | = | 0.2231435——— |
ABCdE (when AE.BC :: 10 . 1.) | = | 2.3025850——— |
Therefore the Logar. of 10
is to the Log. of 2
as 2.302585
to 0.693147
An
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