This is a set of "modern" serif fonts. This was the style popular in the nineteenth century and on into the twentieth for scholarly printing, but every printing equipment company cut their own variation, so you won't find a perfect match. A condensed Bodoni revival is right for the heading.
For the body text - this is a different end of the "modern" style to Bodoni's work and imitations of it, more even and with less stroke contrast. Century Expanded or Excelsior are probably the closest designs in this style with revivals available now, or if money is no object Shinntype's Scotch Modern or Hoefler's Surveyor (both amazing fonts, but you pay for what you're getting). Basically, pick and choose one with the general colour of impression that matches what you want to see. As a note, the original book would probably have looked more spindly than this - scanners often add weight to make the text clearer to read, but if you're planning to imitate this on paper printout does too.