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 148
gramCF: therefore since it has been proved,that as K to L, so is the parallelogramAC to the parallelogram CH; and as L to M, so the parallelogramCH to the parallelogramCF; ex asquall (22. 5.), K is to M, as theparallelogram AC to the parallelogram CF: but K has to M theratio which is compounded of… … KL M PROP. XXIV. THEOR. The parallelograms about the diameter of any paral-lelogram are similar to the whole, and to one another.^ Let ABCD be a parallelogram, of which the diameter is AC;and EG, HK the parallelograms about the diameter: the parallel-ograms EG, HK are similar both to the whole…
Mathematics, Greek · Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
