This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 Excerpt: ...maxime probabile est quinariam dictam a diametro quinque quadrantum, quae ratio in sequentibus quoque modulis usque ad vicenariam durat diametro per singulos adiectione singulorum quadrantum crescente, ut in senaria, quae VI quadrantes in diametro habet, et septenaria, quae VII, et deinceps simili incremento usque ad vicenariam.") Pliny has the same explanation which Frontinus attributes to Vitruvius, yet without mentioning the latter as authority: "denaria appellatur, cuius lamnae latitudo, ante quam curvatur, digitorum X est, dimidioque eius quinaria" (XXXI, 58). In our Vitruvius VIII, 7 (6), 4, it is said that the tube is named after the breadth of the plate of which it is formed, so that if the plate measures 50 digiti in breadth, the tube is called quinquagenaria(" E latitudine autem lamnarum quot digitos habuerint, antequam in rotundationem flectantur, magnitudinum ita nomina concipiunt fistulae; namque quae lamna fuerit digitorum L, cum fistula perficietur ex ea lamna, vocabitur quinquagenaria, similiterque reliquae.") This, indeed, is analogous with the passages of Pliny and of Frontinus; but if the text of Vitruvius had been the original one, how could it possibly be that the two other authors separately should have deviated from it in the same way, each basing his calculation on quinaria instead of quinquagenaria? No, it is Vitruvius who has had Pliny or a similar text before him, and, in order to show his independence, has continued the calculation without suspecting what we learn from Frontinus, § 29, that where 20, vicenaria, is exceeded, a different way of calculation must be applied to the larger measures. Mr. Krohn, who in Berliner Philohgische Wochenschri/t, June 19, 1897, has reviewed the first edition of the ...