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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 173

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 173
o the third plane (4. def. 11.).In the same manner, it may be proved thatDF is perpendicular to the third plane.Wherefore, from the point D two straightlines stand at right angles to the third plane,upon the same side of it, which is impossi-ble (13. 11.): therefore, from the point Dthere cannot be… … PROP. XX. THEOR. If a solid angle be contained by three plane angles,any two of them are greater than the third.^ Let the solid angle at A be contained by the three plane an-gles, BAC, CAD, DAB. Any two of them are greater than thethird. If the angles BAC, CAD, DAB be all equal, it is evident…

Mathematics, Greek · Geometry · Trigonometry

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