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Algebra angle answer application Arithmetic arranged axes base Bell candidate changed circle co-ordinates combinations common complete contains course divided edition elementary English equal equation examination examples exercises Explain expression fact factors figures formula French Geometry German give given Grammar Greek History illustrated important interest language Latin letters Literature Longmans Macmillan meaning method multiplying nature notes observe obtained once origin parallel particular pass passages permutations perpendicular plane position practical preparation present principles problems Proportion propositions quadratic quantities questions ratio readers reason reference relation represent respectively result roots rule selected sides simple solution solve sphere square straight line student suggestive Suppose surface taken things tion translation triangle University usual Verbs vols write
Pagina 202 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Pagina 303 - If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle.
Pagina 329 - LITERATURE with the HISTORY OF THE LANGUAGE. The scheme of the course and revolutions of the language which is followed here is extremely simple, and resting not upon arbitrary but upon natural or real distinctions, gives us the only view of the subject that can claim to be regarded as of a scientific character.
Pagina 349 - Like that self-begotten bird In the Arabian woods embost, That no second knows nor third, And lay erewhile a holocaust, From out her ashy womb now teemed, Revives, reflourishes, then vigorous most When most unactive deemed; And, though her body die, her fame survives, A secular bird, ages of lives.
Pagina 44 - Linus, huic mater quamvis atque huic pater adsit, Orphei Calliopea, Lino formosus Apollo. Pan etiam, Arcadia mecum si iudice certet, Pan etiam Arcadia dicat se iudice victum.
Pagina 180 - ... the sum of the roots is equal to the coefficient of the second term with its sign changed, and the product of the roots is equal to the last term.
Pagina 100 - At that ever memorable and instructive period, the letter of the law was superseded in favour of the substance of liberty. To the free choice, therefore, of the people, without either king or parliament, we owe that happy establishment, out of which both king and parliament were regenerated.
Pagina vi - Office, for the advancement of Religion and Morality, and the promotion of useful knowledge, to hold forth to all classes and denominations of our faithful subjects, without any distinction whatsoever, an encouragement for pursuing a regular and liberal course of Education...
Pagina 308 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Pagina 99 - Genius always imports something inventive or creative; which does not rest in mere sensibility to beauty where it is perceived, but which can, moreover, produce new beauties, and exhibit them in such a manner as itrongly to impress the minds of others.