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 344
BE, NLO are equal; there-fore the parallelogram BF is similar to LS. PROP. LXX. 62. 78. If two straight lines have a given ratio to oneanother, and upon one of them be described a rectih-neal figure given in species, and upon the other aparallelogram having a given angle; if the figure havea given… … EUCLID S DATA. 341 scribed, and upon CD the parallelogram DF having the givenangle FCD; if the ratio of AEB to DF be given, the parallelo-gram DF is given in species. Upon the straight line AB, conceive the parallelogram AG tobe described similar, and similarly placed to FDj and becausethe ratio of…
Mathematics, Greek · Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
