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 198
DM let any poiuis (i, M be taken, and from them let * Sec Note. BOOK XI. THE ELEMENTS OF EUCLID. 195 perpendiculars GL, MN be drawn to the planes BAG, EDF, meet-ing these planes in the points L, N, and join LA, ND: the angleGAL is equal to the angle MDN. Make AH equal to DM, and through H draw HK… … KG, NE, NF^ and join HB, BG, ME, EF: Because HK is perpen-dicular to the plane BAG, the plane HBK which passes throughHK is at right angles (18. 11.) to the plane BAG: and AB isdrawn in the plane BAG at right angles to the common sectionBK of the two planes; therefore AB is perpendicular (4. def.…
Mathematics, Greek · Geometry · Trigonometry
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