454 EFFECT OF TEMPERATURE UPON FACET NUMBER 



Hypothesis 3. Reduction' in the Amount of Facet-Producing Material 

 Plus a Rate of Facet Production Independent of the Temperature. — In 

 this case, the independent rate working through an increased time 

 interval at the low temperatures would produce the greater number 

 of facets as observed in the bar eye. However, when we apply the 

 independent rate to full eye we should obtain a proportional dif- 

 ference at high and low temperatures, a condition shown not to exist. 



Hypothesis 4. Considering the Reduction in Facet Number to he Due 

 to an Inhibitor. — Assuming the inhibitor to be constant in amount for 

 all temperatures, then if it follows the time-temperature laws of the 

 other metabolic reactions, its rate will be decreased at the low tem- 

 peratures, while the time during which it acts will be proportionally 

 lengthened. At the higher temperatures the rate will increase while 

 the time is proportionally shortened. Its action would therefore be 

 constant and we would have the same number of facets at all 

 temperatures. 



Hypothesis 5. Considering the Reduction in Facet Number to Be 

 Due to an Inhibitor, Constant in Amount, but with a Rate Indepen- 

 dent of the Temperature. — Under these conditions the inhibitor work- 

 ing through an increased time interval at the lower temperatures 

 would produce a greater reducing effect and we would find more 

 facets at the higher temperatures. 



Hypothesis 6. Considering the Amount of Inhibitor to Be a Function 

 of the Temperature, and that More of It Is Produced at High Tempera- 

 tures than at Low. — Obviously this condition would explain the results 

 obtained in bar, but it is merely restating the question in another 

 form, as we should then have to explain why more inhibitor was 

 produced at one temperature than at another. 



Hypothesis 7. Considering the Decrease in Facet Number to Be Due 

 to an Inhibitor the Temperature of Which Coefficient Diners from That of 

 the Normal Facet-Producing Reaction. — Let N be the normal number 

 of facets in the full eye. Let nt be the length of the period at Ti° 

 during which facet rudiments are being produced, t is the length 

 of the period at T.^. ^ 



In full eye, at Ti° N facets are formed at a rate of — per t for a 



period of nt; at T2° N facets are formed at a rate of N per t for a 

 period of t. 



