1886.] Equilibrium Theory of Tides for the Continents. 311 



Limits of 





Limits of 



longitude (I). 



Equation. 



latitude 



+ 78°to+ 80° ... 



X=2Z-160 .. 



-14° to 0° 



+ 80 „ +140 ... 



X=l-80 



„ +60 



+ 140 „ -150 



X=60 







-150 „ -100 ... 



_X=Z + 90 



'.. +60 „ +10 



-100 „ - 90 ... 



+ X=Z+110 



.'. +10 „ +20 



- 90 „ - 80 ... 



_X=Z + 70 



.. +20 „ +10 



- 80 „ - 65 ... 



X=Z + 90 



.. +10 „ +25 



- 65 „ - 40 ... 



-X=Z + 40 



.. +25 „ 







Z=-40 



.. „ -20 



- 40 „ — 20 ... 



. _x=Z + 60 



.. -20 „ -40 



- 20 „ - 8f . . . 



X=4Z+40 



. . -40 „ + 5 



- 8|„ + 12| ... 



X=5 





+ 12*,, + 20 ... 



X=2Z-20 



.. + 5 „ +20 



130 to -150 

 ■150 „ -140 

 ■140 „ -130 



•140 to -150 



-150 „ -115 



115 „ -140 



New Guinea. 



2X=Z + 130 

 X=-10 

 X=Z + 130 



Australia. 



X=Z + 130 

 Z=— 15G 



X=-35 

 Z= — 115 

 — 2X=Z + 160 



to -10 

 10 „ 



10 to -20 

 20 „ -35 



■35 „ -22f 

 •221 _io 



It will be seen that it is only rarely necessary to depart from the 

 forms of equation +\=Z + aj and the two original forms X=const. Z= 

 const, to represent the coast line with considerable accuracy. There 

 are still left one or two outlying portions, of which mention will be 

 made later. 



Now supposing we are to find the value of the first integral for the 

 portion of land indicated by the shaded portion of the diagram, E, Q 

 being the equator : 



the equations to its boundaries being written at the side of each. 



