The chart shows the reducing agents down the right side and the standard solution (chloride, nitrate, and sulfate) types across the top.
Here's a break down of what solution type a given solvent is:
Chloride Solutions: AP, HCl-Cl, HCl, Chlorine water, Salt water
Nitrate Solutions: Nitric Acid, Nitrates in water
Sulfate Solutions: Sulfuric Acid, Sulfates in water, Reduced Sulfites in solution, Sulfate Fusions
Mixed Nitrate/Chloride Solution : AR, Poorman's AR, SSN
Mixed Sulfate/Nitrate Solutions: Homemade Nitric Acid
A mixture of chloride (muriatic acid), sulfate (sulfuric acid), and nitrate (niter or nitric acid) solutions can give results from two or more categories across the page. This is why we denox solutions to narrow the items a particular reducing agent will precipitate.
As an example a purely chloride (eg: denoxxed AR, AP, or HCl-Cl) solution of gold and copper will precipitate gold and copper I chloride when SO2 (SMB, sodium sulfite, SO2 gas, etc.) is introduced. This is why we always want to eliminate the copper before using SO2 based precipitants. This is also why a good boil in HCl cleans your dark colored gold of the co-precipitated CuCl.
Another example is when Pt and Pd are dissovled together in AR (chloride and nitrate solution). Adding ammonium chloride without denoxxing will preciptate both Pd and Pt togehter as their ammonium chloride salts due to the presence of nitric acid. If you denox the solution properly you have a chloride solution now with Pd and Pt chlorides dissolved in it. Now when you add NH4Cl you will get the Pt to precpitate more cleanly and mostly free of Pd.
Reducing agents (precipitants) that cross index with a solution type on the chart in a green box will give you nearly clean metals as there will always be some drag down if impurites are dissolved in the solution. This is how dilution (to be avoided with Pt and Pd) and repeated precipitation cycles can help produce 'clean' precious metal when precipitated.
Reducing agents that list more than one product for a given solution type (in red) are more likely to yield impure metals if the other metal in the red box is present or if a mixtue of solution types are present.
Some entries on the chart include details about pH and temperature which are required for the given metal to precipitate in the solution.
I hope this helps explain the chart.
Steve