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 37
or angle FDC isequal (19. 1.) to the interior EAB; therefore the base EB is equalto the base FC, and the triangle EAB equal (4. 1.) to the triangleFDC; take the triangle FDC from the trapezium, ABCF, andfrom the same trapezium take the triangle EAB; the remainderstherefore are equal, (3. Ax.) that… … PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between thesame parallels, are equal to one another. Let ABCD, EFGH be pa- A D E H rallelograms upon equal ba-ses BC, FG, and between thesame parallels AH, BG; theparallelogram ABCD is equalto EFGH. Join BE, CH; and because BC is equal to FG,…
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-20-134.webp)
