What do Squared Partial Corr TYPE I and Squared Partial Corr TYPE II represent? What's the difference. Where do they fit in the diagrams you sent?

And likewise, what is Sqaured Semipartial Corr TYPE I and Squared Semipartial Corr TYPE II distinguish ?

Here is the SAS output 

  

Corrected Tota! 626 37260 Root MSE 4.30264 R-Square 0.6905 Dependent Mean 37.83573 Adj R-Sq 0.6890 Coeff Var 11.37190 Parameter Estimates Parameter Standard Estimate Squared t Value Pr > |t Semi-partial Squared Partial Corr Type I Corr Typel Corr Type II Squared Partial Variable DF Error Intercept 1 44.59242 1.52812 29.18