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 194
oportional to their altitudes; that is, as the base EHis to the base NP, so is the altitude of the solid CD to the alti-tude of the solid AB. First, let the insisting straight lines, AG, EF, LB, HK; CM,NX, OD, PR be at right angles to the bases. As the base EH tothe base NP, so is CM to AG.If the… … N A E C the solid AB be equal to the solid CD. But the solids are equal,by the hypothesis. Therefore the altitude CM is not unequal tothe altitude AG; that is, they are equal. Wherefore, as the baseEH to the base NP, so is CM to AG. * See Note. 192 THE ELEMENTS OF EUCLID. BOOK XI. R D K 13 \^ G L \…
Mathematics, Greek · Geometry · Trigonometry
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