yields – Latin Translation – Keybot Dictionary

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b The length and breadth of courts are regulated in three ways: 3/5, 2/3, and 1/1.414… These proportions fall in a narrow range (from 0.6 to roughly 0.7), and are all in fact approximations to the golden section φ = 0.618… Under the third construction one senses a sort of forced fascination with Pythagorean mathematics again: although it yields the poorest aesthetics of the three, the opportunity to embody in architecture the almost magical square root of 2 seems to have been too much for Vitruvius to resist.
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10. haec autem recte constituuntur, cum is et a fabris et ab idiotis patiatur accipere se consilia. namque omnes homines, non solum architecti, quod est bonum possunt probare, sed inter idiotas et eos hoc est discrimen quod idiota nisi factum viderit, non potest scire quid sit futurum, architectus autem simul animo constituerit, antequam inceperit et venustate et usu et decore quale sit futurum habet definitum. Quas res privatis aedificiis utiles putavi et quemadmodum sint faciundae quam apertissime potui perscripsi. de expolitionibus autem eorum uti sint elegantes et sine vitiis ad vetustatem , insequenti volumine exponam.