The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 49
al to twice the rectangle AB, BC: to D F E each of these equals add HF, which is equal to the square of AC:therefore the gnomon AKF, together with the squares CK, HF,is equal to twice the rectangle AB, BC, and the square of AC:but the gnomon AKF, together with the squares CK, HF, makeup the whole… … BOOK II. THE ELEMENTS OF EUCLID. 47 PROP. VIII. THEOR. If a straight line be divided into any two parts, fourtimes the rectangle contained by the whole line, andone of the parts, together with the square of the otherpart, is equal to the square of the straight line whichis made up of the whole and…
Mathematics, Greek · Geometry · Trigonometry
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![An illustration from The English pilot. [cartographic material] : The fourth book. Describing The West-India navigation, from Hudson's Bay to the River Amazones. Particularly delineating The Sea Coasts, Capes, Headlands, Rivers, Bays, Roads, Havens, Harbours, Streights, Rocks, Sands, Shoals, Banks, Depths of Water, and Anchorage, with all the Islands therein, as Jamaica, Cuba, Hispaniola, Barbadoes, Antigua, Bermudas, Porto Rico, and the rest of the Caribbee and Bahama Islands. Also, A new Description of Newfoundland, New England, New York, East and West New- Jersey, Dellawar Bay, Virginia, Maryland, Carolina. showing, The Courses and Distances from one Place to another; the Ebbing and Flowing of the Sea, the Setting of the Tides and Currents, &c. With many other Things necessary to be known in Navigation. (1775)](https://img.insideoutlibrary.com/img/200/ia-englishpilotcart00thor-104-410.webp)
