by men of various ages. Table IX. shows how the men of the 

 same age choose women of various ages. Thus in B, S, 



Of a miUion B and a milUon S, B20- • Sjg. = 63394; 

 B,9_. S,o- = 377128, &c. 



Of ten thousand S20- ; 3578 wed B.^- ; 494 wedBgo- &c. 



Of ten thousand B^o- ; 1158 wed Sig. ; 6882 wed S20-, &c. 



The Tables seem to elicit the following facts. The ratios in 

 Table III. generally decrease with advancing age, and in geo- 

 metrical progression; except a minor maximum in 2S-r-2B at 

 45—; in 2R^2V at 40—; a minimum at 65 in 2B-hXR; 

 and a nearly constant value from 25— to 40— in SF-^2M. 



ForBS the formula (82i-^) x -02918 gives from 80- to 

 45_(4,7^); 0, -1474, •2948;-4422, -5896, -7370, -8844, 1-0318. 

 The SSH-i;V is nearly a geometrical series after 30 — , annual 

 ratio -870, or -5 for five years. The 2S-^2R is one with the 

 ratio 0-6 = -903^ : the SR - SV after 40 is one, 0-8 = '956^ 

 The SB -=- SR is partly one, -667 = -922^; as also SB -r- SV, 

 •55 = -9085. Yov SM ^ SF, -78 + 8 x 3'«'^-~' gives 216-78, 

 72-78, 24-78, 8-78, 3-4467, 1-0446, -7812, -78 to 40 — ; 

 whence -956^-'' gives -7155, -5724, -4579, -3663, -2930, -2344, 

 nearly true. 



In Table IV. the logs, for SS from 20— to 55— consecutively 

 differing from 9-524 to 9-673 (average 9-6028070 = 5 log -833) 

 point to (f)'~^"A2o = S,. After 55— the difference changes to 

 9-466. The other columns exhibit greater discordances. 



In Table V. substitute in SB -H N,„ .8(_5_)«-^-6-5 = _5/2z-*'' 

 nearly ; then result 



•8, -36364, -16529, -07513, -03415, -01552, -00706, 

 •00321, -00146, -00067. 



In SM-^N„, the function •857(f)»"^^-''-^=(f)°''^-'"%early; 

 then result 



•857, -57137, -38091, -25394, -16929, -11286, -07524, 

 •05016, -03344, -02229. 



InSS-=-N^, l-6(^5_)0-2»-5-5^2(/-j-)<'-^-'*' nearly; then result 

 1-60, 72723, -33058, ^15026, -06830, 03105, -01411, -00641. 

 ' In SF-^Ny, -833(1)"'^-'' = (f )"■'-'"'■' ^^"'^^y'' ^hen result 



•83333, -5000, -3000. -1800, -1080, •0618, -03888, -02133; 

 very approximative. But -857 answers better. 



In B, S, Table VI., the formula 5718 x 3'^"*-" + (0-9)"'"-'''' 

 (putting c. n. 47i for 45-) produces 212-7165, 71-5112, 

 24-5309, 8-7219, 3-4774, 1-0706, -7291, -6561, -5905, -5314, 

 •4783, -4305, -3874, -3487, &c., nearly true for the whole period 



