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... Ranunculus acris and Ranunculus repens is by the foliage, which is not visible here. The 3rd (and rarer) species with similar flowers, Ranunculus bulbosus, can be identified by its reflexed sepals, again not visible here.
To make a proper ID, we really need a couple of extra photos, to show the foliage (basal leaves, and stem leaves also, as they are often different) and to show the flower from below - it's a good idea to take a pic of the underside of flowers, when looking for an ID, as in many cases it is the sepals (on the underside of the flower) that can make all the difference.
Sorry to sound picky! Hope that you get out there and make lots more observations for us to look at!
How to take close-ups with cheap phone and hand-lens:
Field Guides for Budding Botanists:
Lat/Lng: 51.3873, 0.5259
OS grid ref: TQ758683
Fort Amherst Heritage site, backs onto the Great Lines.