American Journal of Education and College Review, Volume 12F.C. Brownell, 1863 - Education |
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Page 21
... circles , etc. , which the young have acquired by looking around them , and which their minds have unconsciously considered before making them a regular study . We thus waste time in giving a dogmatic form to truths which the mind ...
... circles , etc. , which the young have acquired by looking around them , and which their minds have unconsciously considered before making them a regular study . We thus waste time in giving a dogmatic form to truths which the mind ...
Page 24
... circle , it must be directly inferred that the area of a circle is measured by half of the prod- uct of its circumference by its radius . For a long time , these properties of the circle were differently demonstrated by proving , for ...
... circle , it must be directly inferred that the area of a circle is measured by half of the prod- uct of its circumference by its radius . For a long time , these properties of the circle were differently demonstrated by proving , for ...
Page 25
... circle ; that is to say , they took away from the method of limits all its advantage as to simplicity , by not applying it frankly . We now ask that this shall cease ; and that we shall no longer re- proach for want of rigor , the ...
... circle ; that is to say , they took away from the method of limits all its advantage as to simplicity , by not applying it frankly . We now ask that this shall cease ; and that we shall no longer re- proach for want of rigor , the ...
Page 26
... circle , and for the same reasons . It is , besides , the only means of easily extending to cones and cylinders with any bases whatever , right or oblique , those properties of cones and cylinders , -right and with circular bases ...
... circle , and for the same reasons . It is , besides , the only means of easily extending to cones and cylinders with any bases whatever , right or oblique , those properties of cones and cylinders , -right and with circular bases ...
Page 27
... circle . Simultaneous equality of arcs and chords in the same circle . - The greatest arc has the greatest chord , and reciprocally . - Two arcs being given in the same circle or in equal circles , to find the ratio of their lengths ...
... circle . Simultaneous equality of arcs and chords in the same circle . - The greatest arc has the greatest chord , and reciprocally . - Two arcs being given in the same circle or in equal circles , to find the ratio of their lengths ...
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admission algebraic angles arithmetic arms army artillery Artillery and Engineers axis batteries body calculation candidates carriages cavalry circle co-efficients common schools construction corps course Credits curve Descriptive Geometry determination developable surface direction division drawing elementary employed enter equations examination execution exercises Fortification French generatrix Geodesy geometry given grammar ground gymnasium gymnastics howitzers influence instruction knowledge Latin learning lectures LESSONS machines mathematics means measure Memoir ment method Metz motion nature non-commissioned officers object officers Old High German ordnance parallel pass plane polygons practical principles professors programme Project projectiles proportion Prussia pupils questions regiment relating répétiteurs right line Ruled Surfaces School of Application second cœtus sections side siege sketches Staff sub-lieutenants surface surface of revolution tangent teacher teaching theoretical theory third tion triangle velocity vis viva
Popular passages
Page 533 - I thank God there are no free schools, nor printing, and I hope we shall not have these hundred years ; for learning has brought disobedience and heresy and sects into the world, and printing has divulged them, and libels against the best government. God keep us from both...
Page 647 - ... forcing the empty wits of children to compose themes, verses, and orations, •which are the acts of ripest judgment, and the final work of a head filled by long reading and observing, with elegant maxims and copious invention.
Page 533 - The same course that is taken in England out of towns; every man according to his ability instructing his children. We have forty-eight parishes, and our ministers are well paid, and by my consent should be better if they would pray oftener and preach less.
Page 408 - When Jesus therefore saw his mother, and the disciple standing by whom he loved, he saith unto his mother, "Woman, behold thy son!" Then saith he to the disciple, "Behold thy mother!" And from that hour that disciple took her unto his own home.
Page 535 - That the selectmen of every town in the several precincts and quarters where they dwell, shall have a vigilant eye over their brethren and neighbors, to see, first, that none of them shall suffer so much barbarism in any of their families, as not to endeavor to teach by themselves or others, their children and apprentices so much learning, as may enable them perfectly to read the English tongue, and knowledge of the capital laws, upon penalty of twenty shillings for each neglect therein...
Page 408 - For the drunkard and the glutton shall come to poverty: and drowsiness shall clothe a man with rags. 22 Hearken unto thy father that begat thee, and despise not thy mother when she is old.
Page 455 - This truth is making its way. Socrates is now regarded as the greatest man in an age of great men. The name of King has grown dim before that of Apostle. To teach, whether by word or action, is the highest function on earth.
Page 717 - In my opinion, the instruction communicated in the free schools of New England has a direct effect for good on the morals of youth. It represses vicious inclinations, it inspires love of character, and it awakens honorable aspirations. In short, I have no conception of any manner in which the popular republican institutions under which we live could possibly be preserved, if early education were not freely furnished to all, by public law, in such forms that all shall gladly avail themselves of it.
Page 454 - ... and to influence others ; power to gain and to spread happiness. Reading is but an instrument ; education is to teach its best use. The intellect was created, not to receive passively a few words, dates, facts, but to be active for the acquisition of Truth. Accordingly, education should labor to inspire a profound love of truth, and to teach the processes of investigation.
Page 408 - My son, keep thy father's commandment, and forsake not the law of thy mother. Bind them continually upon thine heart, and tie them about thy neck.