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THis Science teacheth us how to Measure the Earth, and to set limits to every Mans Lands; 'tis entire∣ly contain'd in the Fifteen Books of Euclid's Elements: The first thirteen are acknowledg'd by all to be undoubtedly of this Author; the two last are ascrib'd by some to Hipsicles of Alexandria.
Euclid's Elements may be divided into four Parts; the first Part, contain'd in the first six Books, treats of Plains; the second, consisting of the three other
following Books searcheth into the pro∣perties of Numbers; the third Part of Euclid's Elements, consisting of the tenth Book only, treats of commensura∣ble and incommensurable Lines; and lastly, the fourth Part comprehending the remaining Books, treats of Solids, or Bodies.
The first part of Euclid's Elements is again threefold; the first four Books treat of Plains absolutely considered, of their equality and inequality; the fifth treats of the proportion of Magnitudes in general; the sixth sheweth the propor∣tion of plain Figures.
Geometry may be divided into these three subordinate parts, Altimetry, Pla∣nimetry, and Stereometry; Altime∣try is the Art of measuring streight Lines, Planimetry is the Art of measu∣ring Surfaces, Stereometry is the Art of measuring Solids or Bodies.
A line is measured by a line of a known magnitude, and a superficies or surface by a square of a known magnitude, and
Solids are measured by a Cube of a known bulk.
Euclid, Hero Mechanicus▪ Four∣nierius, Malapertius, Maginus, Cla∣vius, Nicolaus Tartalea in Italian, Adrianus Metius, Samuel Marolois, Simon Stevin, and Daniel Sant Bech.