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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 314

An illustration from 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, leaf 314
alwaysthe same situation (4. def.), andtherefore the point, or points, inwhich they cut one another, have al-ways the same situation: and becausethe lines AB, CD can be found (4.def.), the point, or points, in whichthey cut one another, are likewisefound; andtherefore are given in po-sition (4.… … * See Note. 312 Euclids DATA. *^ --, jt**** - be found (4. def.): let these be the points A, B, between which a straight line AB can be drawn (l.pos- *__ -d tulate)j this lias an invariable position, because between two given points there can be drawn but onestraight line: and when the straight…

Mathematics, Greek · Geometry · Trigonometry

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