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About your problem:
I never used DeltaGraph so I cannot tell, if DeltaGraph is able to save or export a graph to PDF.
That would be the preferred solution, I think.
When using EPS with InDesign there could be two layers of information, that can be confusing:
1. An embedded preview image showing: X
2. The Encapsulated PostScript (EPS) code printing or exporting to PDF by interpreting the EPS code resulting in: Y
To get the Y on your page instead of X (the embedded preview image) you could force inDesign to interpret the EPS code while placing the EPS. When importing, tick the options for EPS import and chose "Convert PostScript to Pixel" (roughly translated from my German InDesign: "PostScript in Pixelbild umwandeln") in the screen rendering section for viewing the EPS after it's placed.
From my German InDesign showing the EPS Import Options:
If the screen representation now is different to what you've seen before, we identified the culprit.
We did not solve the problem, though…
A differnt approach could be using Adobe Distiller that comes along with Acrobat Pro, distill a PDF out of the EPS and inspect the result with Acrobat Pro.
I am experimenting with features you showed me.
did you come to a conclusion what exactly went wrong with your graph?
Can I attach screen shots to show how perfect everything looks until PDF is printed?
Sure. You have to use the "Insert Image" functionality of the forum software to insert a screenshot at the insertion point while editing a reply:
You further say, that your PDF is looking fine, but the printing is wrong.
What kind of printer are you using?
Could it be, that DeltaGraph is using a very thin line for the lines you cannot see after printing?
You could inspect the details in your PDF with Acrobat Pro. Line weight, color etc.pp. …