The Science-history of the Universe, Volum 8Current Literature Publishing Company, 1909 |
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Frases i termes més freqüents
Algebra Analytic Geometry applied Archimedes arithmetic biplane calculation called cardinal century circle class of points column commutative law computed construction contains coördinates cube cubic curvature curve cylinder denoted determined distance divided division Egyptians equal equation Euclid exponent figure fractions functions geometry given Greek Hindu horizontal hundred hyperbola implies q invented isotropic lines known Law of Cosines logarithms machine magic square material implication mathematician mathematics means measure mechanical ment method modern multiplication non-collinear points notation notion number system operation pistoles plane player position postulates primitive principle problem projective geometry propositions pseudosphere Pythagoras Pythagorean theorem quipu ratio real numbers relation right angles Roman says screw segment side sphere straight line subtraction surface symbol theorem theory tion transitive relation triangle unit weight wheel whole numbers zero
Passatges populars
Pàgina 270 - ... of its arc, which is its natural place of rest, but does not fix it there, because the momentum acquired during its fall from one side carries it up to an equal height on the other — so in a watch a spring, generally spiral, surrounding the axis of the balance-wheel, is always pulling this towards a middle position of rest, but does not fix it there, because the momentum acquired during its approach to the middle position...
Pàgina 66 - My lord, I have undertaken this long journey purposely to see your person, and to know by what engine of wit or ingenuity you came first to think of this most excellent help into astronomy, viz. the logarithms ; but, my lord, being by you found out, I wonder nobody else found it out before, when now known it is so easy.
Pàgina 270 - ... other side, and the spring has to begin its work again. The balance-wheel at each vibration allows one tooth of the adjoining wheel to pass, as the pendulum does in a clock ; and the record of the beats is preserved by the wheel which follows.
Pàgina 309 - I was thinking upon the engine at the time and had gone as far as the Herd's house when the idea came into my mind, that as steam was an elastic body it would rush into a vacuum, and if a communication...
Pàgina 117 - That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles...
Pàgina 13 - ... that circles are to one another in the duplicate ratio of their diameters, and that spheres are to one another in the triplicate ratio of their diameters...
Pàgina 117 - Common Notions 1 Things which are equal to the same thing are also equal to one another. 2 If equals be added to equals, the wholes are equal. 3 If equals be subtracted from equals, the remainders are equal. 4 Things which coincide with one another are equal to one another.
Pàgina 117 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, or of equal things, are equal to each other.
Pàgina 270 - In winding up a watch, one turn of the axle on which the key is fixed is rendered equivalent, by the train of wheels, to about 400 turns or beats of the balance-wheel; and thus the exertion, during a few seconds, of the hand which winds up, gives motion for twentyfour or thirty hours.
Pàgina 123 - Several men, being sent in with scythes, cleared the way, and made an opening for us. When we could get at it, and were come near to the front of the pedestal, I found the inscription, though the latter parts of all the verses were effaced almost half away. Thus one of the noblest cities of Greece, and one which at one time likewise had been very celebrated for learning, had known nothing of the monument of its greatest genius, if it had not been discovered to them by a native of Arpinum.