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able acquired Alphabet applied arithmetic arranged authorities beginning blackboard boys branches called charts combinations composition comprehension constructed correct course denominator direct discipline distinct district divided division drawing duty efforts elements employed enable enter equal examination exercise explain expressed facts familiar figure followed force fraction frequently geography give given govern grammar habits idea illustrated indicated instruction interest introduced knowledge language learning lessons letters lines manner meaning method mind natural necessary notes objects observation organs period piece plants position possesses practice presented principles produced profit progress pronounce proper proportion public schools pupils questions reason recitation relation represented rules sciences sense sentence simple slate sound spelling taken taught teacher teaching term tion unit utterance verb voice whole words write written
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Page 42 - Physical science is now so bound up with all the interests of mankind, from the lowest and most material to the loftiest and most profound, it is so engrossing in its infinite detail, so exciting in its progress and promise, so fascinating in the varied beauty of its revelations, that it draws to itself an ever-increasing amount of intellectual energy; so that the intellectual man who has been trained without it must feel at every turn his inability to comprehend thoroughly the present phase of the...
Page 185 - The number or quantity below the line, is called the denominator, because it denominates, or shows the number of parts into which the unit is divided ; and the...
Page 190 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 43 - ... of his fellow-men. And if there be any who believe that the summit of a liberal education, the crown of the highest culture, is Philosophy — meaning by Philosophy the sustained effort, if it be no more than an effort, to frame a complete and reasoned synthesis of the facts of the universe, — on them it may be especially urged how poorly equipped a man comes to such a study, however competent he may be to interpret the thoughts of ancient thinkers, if he has not qualified himself to examine,...
Page 41 - ... natural history. Every discussion which supposes a classification of facts, every research which requires a distribution of matters, is performed after the same manner ; and he who has cultivated this science merely for amusement, is surprised at the facilities it affords for disentangling all kinds of affairs.
Page 43 - ... required for open-air excursions, the elevating influences that come from a contact with the purity and beauty of nature, and the habits of ready tact and rapid induction which such studies and researches involve, are all invaluable features of the character, and leave priceless treasures for life. No one can appreciate more highly than we the tastes and aptitudes of the enthusiastic Naturalist, whether seen in their blossom in the youthful votary or in their ripeness in the matured Philosopher....
Page 44 - ... Mathematics and Physics, and that the real or technological schools invariably comprehend in their curriculum the pure mathematics, and often require the study of the most refined branches of the same. But the pure mathematics, both elementary and advanced, are the least directly practical of any sciences. It is only because of their necessity as the foundation of the applied sciences and arts, that they are so readily admitted into the circle of practical and useful knowledge.
Page 194 - If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if...