At these meetings, which were about the year 1655, divers experiments were suggested, discoursed, and tried with various successes, though no other a… - Robert Hooke

Some other Course therefore must be taken to promote the Search of Knowledge. Some other kind of Art for Inquiry than what hath been hitherto made use of, must be discovered; the Intellect is not to he suffer'd to act without its Helps, but is continually to be assisted by some Method or Engine, which shall be as a Guide to regulate its Actions, so as that it shall not be able to act amiss: Of this Engine, no Man except the incomparable Verulam hath had any Thoughts, and he indeed hath promoted it to a very good pitch; but there is yet somewhat more to be added, which he seem'd to want time to compleat. By this, as by that Art of Algebra in Geometry, 'twill be very easy to proceed in any Natural Inquiry, regularly and certainly: And indeed it may not improperly be call'd a Philosophical Algebra, or an Art of directing the Mind in the search after Philosophical Truths, for as 'tis very hard for the most acute Wit to find out any difficult Problem in Geometry. without the help of Algebra to direct and regulate the Acts of the Reason in the Process from the question to the quœsitum, and altogether as easy for the meanest Capacity acting by that Method to compleat and perfect it, so will it be in the inquiry after Natural Knowledge.

The Reason of the present Animadversions. ...How far Hevelius has proceeded. That his instruments do not much exceed Ticho. The bigness, Sights and Divisions, not considerably differing. Ticho not ignorant of his new way of Division. ...
That so great curiosity as Hevelius strives for is needless without the use of Telescopic Sights, the power of the naked eye being limited. That no one part of an Instrument should be more perfect than another. ...
That if Hevelius could have been prevail'd on by the Author to have used Telescopic Sights, his observations might have been 40 times more exact than they are.
That Hevelius his Objections against Telescopic sights are of no validity; but the Sights without Telescopes cannot distinguish a less angle then half a Minute.
That an Instrument of 3 foot Radius with Telescopes, will do more then one of 3 score foot Radius with common Sights, the eye being unable to distinguish. This is proved by the undiscernableness of spots in the Moon, and by an Experiment with Lines on a paper, by which a Standard is made of the power of the eye. ...
A Conclusion of the Animadversions. That the learn'd World is obllig'd to Hevelius for what he hath done, but would have more, if he had used other instruments.
That the Animadvertor both contrived some hundreds of Instruments, each of very great accurateness for taking Angles, Levels, &c. and a particular Arithmetical lnstrument for performing all Operations in Arithmetick, with the greatest ease, swiftness and certainty imaginable.
That the Reader may be the more certain of this, the Author describes an Instrument for taking Angles in the Heavens...

By the means of Telescopes, there is nothing so far distant but may be represented to our view; and by the help of Microscopes, there is nothing so small, as to escape our inquiry; hence there is a new visible World discovered to the understanding. By this means the Heavens are open’d, and a vast number of new Stars, and new Motions, and new Productions appear in them, to which all the ancient Astronomers were utterly Strangers.