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A movement on the two sides of the right-angled triangle composes a movement on the hypotenuse; but it does not follow that a ball moving on the hypotenuse must produce the effect of two balls of its own size moving on the two sides: yet that is true. Nothing is so appropriate as this result, and God has chosen the laws that produce it: but one sees no geometrical necessity therein.
Now support your weight on your hands." The shadow did as ordered. Rick took the man's legs and pulled them backward so that the shadow's whole weight was against his hands, his outstretched body forming the hypotenuse of a right triangle. The only way he could move to regain his balance was to lower himself to the ground and then get up. Rick picked up the stranger's fallen pistol and hefted it.
"The theme of my discourse is aborigines, their dispositions, animadversions, and propensities," explained the constable. "According to the latest scientific hypotheses, the metempsychosis " Tom threw up his hands. "Help! Help! I never studied geology none. Don't know this hypotenuse you're pow-wowin' about any more'n my paint hawss does. Come again in one syllables."
A and B agree to hold a walking match across an open meadow, each seeking the shortest line. A, walking from corner to corner, may be said to diangulate the hypotenuse of the meadow. B, allowing for a slight rise in the ground, walks on an obese tabloid. Which wins? My Solution: Frankly, I don't know. Puzzle III A rope is passed over a pulley. It has a weight at one end and a monkey at the other.
The ancient Hindus were the first to determine the velocity of light and the laws of its reflection; and the table of Pythagoras and his celebrated theorem of the square of hypotenuse are to be found in the ancient books of Jyotisha.
To declare oneself for the opinion of the one or the other is to take sides in a civil war. There are no sects in mathematics, in experimental physics. A man who examines the relations between a cone and a sphere is not of the sect of Archimedes: he who sees that the square of the hypotenuse of a right-angled triangle is equal to the square of the two other sides is not of the sect of Pythagoras.
At sea, septentrional, by night the polestar, located at the point of intersection of the right line from beta to alpha in Ursa Maior produced and divided externally at omega and the hypotenuse of the rightangled triangle formed by the line alpha omega so produced and the line alpha delta of Ursa Maior.
From the edge of a cliff just in front of this hut, there swung a long cable, which reached almost to the base of the shore beneath us; and, even as we looked, we saw what seemed a tiny bucket go swinging slowly down that strange hypotenuse. We watched it till we saw it get to the end of its journey in the valley beneath, not far from the great mill to which we were bound.
The tornado was now in all its strength. The wind roared and shrieked in its wild fury, and such was its force that I fell in an acute angle. "What did you fall in?" interrupted the pacha. "I don't know what that is." "I fell in a slanting direction, your highness, describing the hypotenuse between the base and perpendicular, created by the force of the wind, and the attraction of gravitation."
In short, from the various sources of interest, personal regard, and national taste, such a tempest of loyalty has set in upon the people that the 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if Lord Hawkesbury hates the abstract truths of science as much as he hates concrete truth in human affairs, now is his time for getting rid of the multiplication table, and passing a vote of censure upon the pretensions of the hypotenuse.
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