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Passage
14
Long ago men learned that the world of nature is built with
mathematical exactness according to refined and powerful laws:
every bee strokes its wings exactly 440 times a second to propel
itself forty miles an hour; the eye of every fly has exactly 7000
lenses; every spider's thread is composed of 300 single threads.
The progress of civilization itself can be measured by its range
of mathematics. The early Egyptians knew enough of geometry to
build the pyramids and the Greeks used trigonometry to measure
the circumference of the earth two thousand years before Columbus
sailed. European civilization combined geometry and trigonometry
with the decimal system of the Arabs to produce the maps with
which the Europeans explored the world. In a later century, mathematicians
studied the pendulum of the newly invented clock and created the
language of calculus to measure motion. The yardstick of measurement
today must cover everything from units tinier than atoms to distance
of millions of light years. Speed and accuracy are vital. In navigating
amid planets and stars, man must have the help of some kind of
machine calculators for fast and absolutely accurate information.
66. The author shows how the exactness
of nature's law is reflected in .
A) man's civilization
B) the creature of nature
C) machine calculators
D) all of the above
67. The progress of civilization can be measured by .
A) the range of man's mathematics
B) man's desire to define nature's laws
C) the skill with which man has applied calculus
D) man's success in defining natural laws
68. Which of the statements is TRUE?
A) The Greeks knew enough geometry to measure the circumference
of the earth.
B) The early Egyptians knew enough trigonometry to build
the pyramids.
C) The Arabs used the decimal system to produce maps to
explore the world.
D) Man cannot navigate in space without sophisticated calculators.
69. Egyptian Pyramid construction makes use of .
A) geometry
B) trigonometry
C) calculus
D) both A and B
70. The passage suggests that .
A) the world of nature is built with mathematical exactness
B) progress in civilization demands even better mathematical
tools
C) in ancient times there was little need for mathematics
D) man must still develop a yardstick of measurement that
will cover light years

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