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This quiz consists of 5 multiple choice and 5 short answer questions through Chapter 2, Mathematics and the Exact Sciences.

Multiple Choice Questions

1. Chapter 1 states that the "geometric spirit" noted by ________ ensured that the same progress would occur in our knowledge about nature.
(a) Boyle.
(b) Newton.
(c) Fontenelle.
(d) Locke.

2. Who stated in 1665 that "Analysis...seems to belong no more to Mathematics than to Physics, Ethics or any other Science"?
(a) Condillac.
(b) Aristotle.
(c) Euclid.
(d) Isaac Barrow.

3. What was the name of the problem of finding the shape of a surface of maximum area for a perimeter of given length as found in Chapter 2?
(a) Isoperimeters.
(b) Brachistachrone.
(c) Involute.
(d) Cycloid.

4. Chapter 2 reveals that Leibniz wrote the "second difference" in calculus as ________.
(a) A3E.
(b) D2X.
(c) R6Z.
(d) B3C.

5. The eighteenth century was called by the French the ________ because of its emphasis on reason as a path to knowledge.
(a) Century of reason.
(b) Century of science.
(c) Century of light.
(d) Century of life.

Short Answer Questions

1. Vis viva was thought by its creator ________ to be the dynamic quantity that was conserved in the universe, according to the narrator in Chapter 2.

2. Who was France's greatest hero of the Enlightenment partly because he was from England, the source of free thought and liberty and partly because he had solved the riddle of the planets, showing that their motions obeyed the same laws as motions on earth?

3. The narrator reveals that vis viva was a measure of ________ to conserve his creation while "action" was a measure of his efficiency.

4. By what name did natural philosophers want to be known as, according to the narrator in Chapter 1?

5. What area of science included astronomy, optics, statics, hydraulics, gnomonics, geography, horology, navigation, surveying, and fortification?

(see the answer key)

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