## First B.A. Examination, University of London: A Hand-book to the Study of Latin, Greek, French and German, English Language and Literature, Arithmetic, Algebra, Plane and Solid Geometry ... and Other Subjects Included in the Above Examination ... |

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Algebra angle answer application Arithmetic axes axis base Bell candidate centre circle co-ordinates combinations common complete contains course divided drawn edition English equal equation examination examples exercises Explain expression factors facts figures formulæ French Geometry German give given Grammar Greek History illustrate important language Latin letters Literature locus Longmans Macmillan means method nature notes observe obtained origin parallel particular pass passages perpendicular plane position practical preparing present principles problems Proportion propositions prove quantities questions radius ratio readers reason reference relation represent respectively roots rule School selected sides simple solution solve sphere square straight line student suggestive supposed surface taken tangent text-book things tion translation triangle University Verbs volume write

### Popular passages

Page 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.

Page 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.

Page 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.

Page 351 - 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.

Page 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.

Page 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.

Page 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.

Page 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...

Page 308 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...

Page 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.