160 U. S. COAST AND GEODETIC SURVEY 
than the difference for the given hours on that page. For an example, 
take the hours for page 2 for constituent OO as derived from con- 
stituent J. According to the table the difference for the constituent 
hours 10 to 3, inclusive, is 9 hours; therefore the difference for the 
omitted hours 4 to 9, inclusive, should be taken as 10 hours. For 
constituent 2Q as derived from constituent O the three differences 
usually required for each page are given in full. 
ee use of the table may be illustrated from the example above, as 
follows: 
Page 2— 
J-hours —----------- 0, il 2; 3, 4, 5, 6, 7, 8, 9, 10, 11 
Difference__._---- +9, oF (OS OS 10S LO 10s LOS aOse tO} wae 9 
OO-hours___--_-- 9 SAO Dd alse WA e155) iG, P73 eS SAO ae 
Jehourse= = 12,. 13, 7,14, 15, 16, 17, 718, . 19, — 205 Soe es 
Difference______-_- +9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 
OO-hours___---- Pl, “Fey WB (Oh Dee DM B3t pruy4ereeOpa | Cee LS 
The period 24 hours should be added or subtracted when necessary 
in order that the resulting constituent hours may be between 0 and 28. 
Table 34. For summation of long-period constituenis——This table 
is designed to show the assignment of the daily page sums of the 
hourly heights to the constituent divisions to which they most nearly 
correspond. The table is based upon formula (395). The constituent 
division to which each day of series is assigned is given in the left-hand 
column. For Mf, MSf, and Mm there will frequently occur two 
consecutive days which are to be assigned to the same constituent 
division. In such cases the day which most nearly corresponds to the 
constituent division is the only one given in the table, and this is 
marked by an asterisk (*). The missing day, whether it precedes or 
follows the one marked by the asterisk, is to be assigned to the same 
constituent division. For Sa a number of consecutive days of series 
are assigned to each constituent division. In the table there are 
given the first and last days of each group. 
Table 35. Products aS/15 for Form 444.—This table contains the 
products of constituent speeds and time meridian longitudes for 
formula (466) which is used in obtaining values of («’—«) for column A 
of Form 444. 
Table 36. Angle differences for Form 445.—This table gives the 
differences for obtaining and checking the dial settings for February 1 
and December 31, as entered in Form 445. The differences are de- 
rived from tables 16 and 17. 
Table 37. Coast and Geodetic Survey tide-predicting machine No. 2— 
General gears.—This table gives the details of the general gearing from 
the hand-operating crank to the main vertical shafts, together with 
the details of the gearing in the front section or dial case. In this 
table the gears and shafts are each numbered consecutively for con- 
venience of reference, the gears being designated by the letter G and 
the shafts by the letter S. In the second column are given the face 
of each bevel or spur gear and the diameter of each shaft. The next 
two columns contain the number of teeth and pitch of each bevel and 
spur gear. The pitch is the number of teeth per inch of diameter of 
the gear. The worm screw is equivalent to a gear of one tooth, as it 
requires a complete revolution of the screw to move the engaged wheel 
