The Cambridge Examiner, Volume 1J. Palmer, 1881 - Education, Higher |
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Page 28
... square of the third ; find n . 13. A and B , 300 miles apart , set out on the same day to meet . A travels uniformly 9 miles a day . B travels 30 the first , 28 the second , 26 the third , and so on . When will they meet ? Explain the ...
... square of the third ; find n . 13. A and B , 300 miles apart , set out on the same day to meet . A travels uniformly 9 miles a day . B travels 30 the first , 28 the second , 26 the third , and so on . When will they meet ? Explain the ...
Page 29
... square . 3. If two triangles have two sides of the one equal to two sides of the other , each to each , and the angle contained by those sides also equal , the triangles are equal in every respect . 4. Draw a straight line at right ...
... square . 3. If two triangles have two sides of the one equal to two sides of the other , each to each , and the angle contained by those sides also equal , the triangles are equal in every respect . 4. Draw a straight line at right ...
Page 30
... square of the whole line and of one of the parts are equal to twice the rectangle of the whole and that part together with the square of the other part . Express in geometrical terms the formula a2 - b2 = ( a + b ) ( a - b ) . 6 ...
... square of the whole line and of one of the parts are equal to twice the rectangle of the whole and that part together with the square of the other part . Express in geometrical terms the formula a2 - b2 = ( a + b ) ( a - b ) . 6 ...
Page 33
... square of the semi - ordinale :: the square of the axis major : the square of the axis minor . 9. Define the eccentric angle of any point of an ellipse . 10. Prove that the locus of the centre of a circle touching a given circle and a ...
... square of the semi - ordinale :: the square of the axis major : the square of the axis minor . 9. Define the eccentric angle of any point of an ellipse . 10. Prove that the locus of the centre of a circle touching a given circle and a ...
Page 73
... square , square root , circulating decimal . 2. Find the G. C. M. of 1728 , 3834 , 15228 , and 18306 , and the L. C. M. of 793 , 1403 , 1891 . 3. Multiply the sum of ++ § by twice the difference be- by ÷ tween } and § , and divide the ...
... square , square root , circulating decimal . 2. Find the G. C. M. of 1728 , 3834 , 15228 , and 18306 , and the L. C. M. of 793 , 1403 , 1891 . 3. Multiply the sum of ++ § by twice the difference be- by ÷ tween } and § , and divide the ...
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Common terms and phrases
9-16 inclusive ACCESSION OF HENRY adjectives Aeneid AESCHYLUS Alcestis allusions answer aorist BELLO GALLICO CAESAR CATILINAM chief chord CICERO circle CORINTHIANS CORIOLANUS declension Define Describe difficulties of construction Distinguish England Epistle equal equations EURIPIDES Explain the terms explaining carefully Find force French gender Geography German Give a short Give an account Give examples Give illustrations given straight line GOETHE'S KNABENJAHRE GRAMMAR Greek HENRY III Higher Mathematics Junior and Senior Junior Paper king L'Avare Latin Lazare Hoche LIVY major scale meant Mention Molière Name nouns parabola parallelogram Parse the words participle passage plane plural propositions Prove reign Religious Knowledge right angles sentence Shew short account short marginal notes sides Sketch SOPHOCLES SPECIAL PERIOD SPHACTERIA square Students subjects subjunctive tangent THUCYDIDES triangle verbs VIII VIRGIL Women words in italics Write a short XENOPHON δὲ καὶ τὴν
Popular passages
Page 380 - For yourselves know how ye ought to follow us; for we behaved not ourselves disorderly among you, neither did we eat any man's bread for nought, but wrought with labour and travail night and day, that we might not be chargeable to any of you ; not because we have not power, but to make ourselves an ensample unto you to follow us.
Page 343 - Of law there can be no less acknowledged, than that her seat is the bosom of God, her voice the harmony of the world ; all things in heaven and earth do her homage, the very least as feeling her care, and the greatest as not exempted from her power...
Page 405 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Page 406 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Page 432 - And Caesar's spirit, ranging for revenge, With Ate by his side come hot from hell, Shall in these confines with a monarch's voice Cry 'Havoc!' and let slip the dogs of war; That this foul deed shall smell above the earth With carrion men, groaning for burial.
Page 283 - The sin of Judah is written with a pen of iron, and with the point of a diamond : it is graven upon the table of their heart, and upon the horns of your altars ; whilst their children remember their altars and their groves by the green trees upon the high hills.
Page 240 - Yet serves to second too some other use. So Man, who here seems principal alone, Perhaps acts second to some sphere unknown, Touches some wheel, or verges to some goal ; 'Tis but a part we see, and not a whole.
Page 380 - And no man putteth new wine into old bottles; else the new wine will burst the bottles and be spilled, and the bottles shall perish. 38 But new wine must be put into new bottles ; and both are preserved. 39 No man also having drunk old wine straightway desireth new; For he saith, The old is better.
Page 81 - Two principles in human nature reign; Self-love, to urge, and reason, to restrain; Nor this a good, nor that a bad we call, Each works its end, to move or govern all: And to their proper operation still Ascribe all good; to their improper, ill.
Page 257 - The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...