(568). 
TABLE VIII (continued). 
Th n=1 oe N= | n= 
| | } 
| | 
5.0 0.9596 | —0).08i2 —0 0562 0.0211 0.0140 
od 0.9578 —0.0793 —0.0555 0.0184 0.0151 
ee 0.9658 —0 0746 —0.0547 0.0159 | 0.0162 
5.3 0.9686 —0.0701 —0.0538 0.0135 0.0169 
5.4 0.9711 | —0 0659 — (150527 0.0112 0.0175 
DD 0.9734 | —0.0618 00515 | 0.0090 0.0179 
5.6 0.9756 \ —0.0580 —0.0503 0.0070 0.0182 
5.7 | OO7%6. "| —0.0544 —). 0489 0 .Q050 0.0188 
wo, OO 1% —0.0509 —0 0475 0.0032 0.0182 
gd | OSL — 0. 0477 — 0.0461 0 0016 0.0181 
6.0 0.9827 —0.0446 —0.0446 0.0000 | 0.0178 
6.5 | 0.9887 | —0.0318 —0.0371 —0.0060 | 0 0154 
7.0 | 0.9927 | —0.0223 —0 0298 —0.0095 0.0149 
1.5 | 0.9953 —0 0156 —0.0233 —0.0107 0.083 
8.0 | 0.9970 —0 0107 —0.0179 —0.0107 0.0050 
8.5 | 0.9984 —0 0074 —0.0135 —().0100 0.0024 
90 | 0.9988 | —0.0050 | —0.0100 | —0.0088 0.0005 
975 | 0.9992 | —0.0024 | —0.0073 | “—0.007% | —0.0008 
10.0 0.9995 —0.0023 | —0.0053 —0.0061 —). 0015 
10.5 | 0.9997 | —0.0015 | —0.0038 | —0.0048 | —0.0019 
AAO 0.9998 —0.0010 —0.0027 —0.0038 — 0.0020 
4 A) 0.9999 —0.0007 | —0.0019 —0 0029 —0.0019 
42.0 | 0.9999 | —0.0004 | —0.0013 | —0.0022 | —0.0017 
42.5 | 41.0600 | —0.0003 | —0.0009 | —0.0017 | --0.0015 
13.0 | — —0. 0002 —().0006 —0.0012 —0.0012 
13.5 ad —0.0001 | —0.0004 | —0.0009 | —0.0010 
14.0 = —0.0001 | —0.0003 | —0.0007 | —0.(008 
14.5 -- —0.0001 —) 0002 | —0.0005 | —0.0007 
15.0 — 0.0000 —0.0001 —0.0003  —0.0005 
1555 — -- —0.0001 —0.0002 —0.0004 
16.0 -- -- |} —0.00M —) .0002 —0.0003 
16.5 — — 0.0000  —0.0001 | —0.0002 
17.0 as = =) | SO EON 
1170 — | — | — —0.0001 | —0.0001 
18.0 — — — 0.0000 = —0.0001 
485 — | — | — — —0. 0001 
19.0 — | — —- — 0.0000 
Mathematics. — “On curves of order four with two fleenodal pomts 
or with two biflecnodal points.” By Prof. JAN DE VRIES. 
1. The points of a binodal curve of order four, C,, are projected 
out of the two double points O, and U, by two pencils in corre- 
spondence. (2 , 2). 
So such a C, is determined by the relation 
ag, Ayu? ta, Aa, Ha, AW Ha A+ a, 94+ a, +a,,uta,, = 9, 
where 
Vee enh ey 2, 
\ 
According to a well-known property the eight singular rays (4) 
