Page:Philosophical Transactions - Volume 003.djvu/23

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stop, is less than the remaining terms, and that the total of these is less than 4/3 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 = 1/4AB.) be found as follows.

8 x 9 x 10)	1. (0.0013888888——
16 x 17 x 18)	1. (0.0002042484——	$\scriptstyle {\left.{\begin{matrix}\ \\\\\ \ \end{matrix}}\right\}\,}$ 0.0003504472
18 x 19 x 20)	1. (0.0001461988——
32 x 33 x 34)	1. (0.0000278520——	$\scriptstyle {\left.{\begin{matrix}\ \\\\\ \\\ \\\ \\\ \ \end{matrix}}\right\}\,}$ 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	$\scriptstyle {\left.{\begin{matrix}\ \\\\\ \ \end{matrix}}\right\}\,}$ ${\overset {\cdot \cdot }{\underset {\cdot \cdot }{-}}}$
	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