American Journal of Education and College Review, Volume 12F.C. Brownell, 1863 - Education |
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Page 22
... tangents . So too when Bezout says that , in order to form an exact idea of an angle , it is necessary to consider the movement of a line turning around one of its points , he gives an idea at once more just and more fruitful in ...
... tangents . So too when Bezout says that , in order to form an exact idea of an angle , it is necessary to consider the movement of a line turning around one of its points , he gives an idea at once more just and more fruitful in ...
Page 27
... tangent at any point of a circumference is perpendicular to the radius passing through that point . The arcs intercepted in the same circle between two parallel chords , or between a tangent and a parallel chord , are equal . Measure of ...
... tangent at any point of a circumference is perpendicular to the radius passing through that point . The arcs intercepted in the same circle between two parallel chords , or between a tangent and a parallel chord , are equal . Measure of ...
Page 28
... tangent is a mean proportional between the secant and its exterior segment . Two chords intersecting within a circle divide each other into parts reciprocally proportional . - The line perpendicular to a diameter and terminated by the ...
... tangent is a mean proportional between the secant and its exterior segment . Two chords intersecting within a circle divide each other into parts reciprocally proportional . - The line perpendicular to a diameter and terminated by the ...
Page 30
... tangent to the sphere . Measure of the angle of two arcs of great circles . Properties of the polar or supplementary triangle . Two spherical triangles situated on the same sphere , or on equal spheres , are equa in all their parts , 10 ...
... tangent to the sphere . Measure of the angle of two arcs of great circles . Properties of the polar or supplementary triangle . Two spherical triangles situated on the same sphere , or on equal spheres , are equa in all their parts , 10 ...
Page 35
... tangents . But since transcendental curves are very often encountered in practice , we give in our programme the calculation of the derivatives of algebraic and fractional functions , and transcendental functions , logarithmic ...
... tangents . But since transcendental curves are very often encountered in practice , we give in our programme the calculation of the derivatives of algebraic and fractional functions , and transcendental functions , logarithmic ...
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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.