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Unformatted text preview: = ∆ = ∆ ∆ = ∆ ∆ = = ∆ ( 29 ( 29 2 3 3 2 1 3 1 3 1 and 3 dA x dx A x C A x A x C = = += = ( 29 ( 29 ( 29 ( ) ( ) b a dA f x dx A f x dx A b A a f x dx = == ∫ ∫ ( 29 constant t dv a g dt v gdt v f t gt c v gdt gt = = = = = = + = = ∫ ∫ 2 1 2 ds v dt s vdt gt c = = = + ∫ 2 2 1 2 more generally, 1 2 a g v gt s gt v v at s s v t at = = = = + = + + 1 2 2 Score card: 1. Aristotle: wrong (except in the real world) 2. Albert of Saxony: wrong 3. Nicole Oresme: correct 4. Nicole Oresme: correct 5. Leonardo da Vinci: integers correct, but doe v s v t s t s ∝ ∝ ∝ ∆ ∝ sn't start from rest 6. Galileo Galilei: odd numbers correct, but odd s ∆ ∝...
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 Spring '07
 Goodstein
 Calculus, Leonardo Da Vinci, dx dx, dy dy dx, Nicole Oresme

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