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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 163

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 163
ne EB, and let the plane be turned aboutEB, produced, if necessary, until it passthrough the point C: then because the pointsE, C are in this plane, the straight line ECis in it (7. def. 1.): for the same reason, thestraight line BC is in the same; and, by thehypothesis, EB is in it; therefore the… … PROP. in. THEOR. If two planes cut one another, their common sectionis a straight line.^ Let two planes AB, BC cut one another, and let the line DBbe their common section: DB is a straightline: if it be not, from the point D to B,draw, in the plane AB, the straight lineDEB, and in the plane BC the…

Mathematics, Greek · Geometry · Trigonometry

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