Report on the examination for admission to the Royal military academy at Woolwich. With a syllabus of mathematical studies and copies of the examination papers |
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Page iv
... prove useful to future Candidates . ( Signed ) F. W. HAMILTON , Major - General , Vice - President . F. ABBOTT , Major - General . HENRY MOSELEY . T. ELWYN , Colonel . J. E. ADDISON , Colonel . 13 , Great George Street , S. W. , 5th ...
... prove useful to future Candidates . ( Signed ) F. W. HAMILTON , Major - General , Vice - President . F. ABBOTT , Major - General . HENRY MOSELEY . T. ELWYN , Colonel . J. E. ADDISON , Colonel . 13 , Great George Street , S. W. , 5th ...
Page 11
... proves to be three times that of one of the children . How many children were there ? 4. A franc being taken to be worth 9 d . , find the sum of money which can be paid by an exact number of either shillings or francs , the number of ...
... proves to be three times that of one of the children . How many children were there ? 4. A franc being taken to be worth 9 d . , find the sum of money which can be paid by an exact number of either shillings or francs , the number of ...
Page 12
... prove that the coefficient of the second term and of the last term but one are each n . In the expansion of ( 2-3x ) find the coefficient of x5 . 8. If the logarithms of numbers in the ordinary tables were all doubled , what would be ...
... prove that the coefficient of the second term and of the last term but one are each n . In the expansion of ( 2-3x ) find the coefficient of x5 . 8. If the logarithms of numbers in the ordinary tables were all doubled , what would be ...
Page 13
... prove that 2 sin A = √1 + sin 2A + √1 - sin 2A . 1 Ex . 2A = 315 ° so that sin 2A = - find sin 157 ° 30 ' . √2 3. At the foot of a hill a visible object has an elevation of 29 ° 12 ′ 40 ′′ , and when the observer has walked 300 yards ...
... prove that 2 sin A = √1 + sin 2A + √1 - sin 2A . 1 Ex . 2A = 315 ° so that sin 2A = - find sin 157 ° 30 ' . √2 3. At the foot of a hill a visible object has an elevation of 29 ° 12 ′ 40 ′′ , and when the observer has walked 300 yards ...
Page 14
... Prove that the straight line y - x = a + b2 x2 y2 a2 touches the ellipse + = 1 , and find the co- b2 ordinates of the point of contact . 3. If xyx sin x + cos x , prove that d'y dx2 + y == 2y 202 . 4. Find the asymptotes of the curve y1 ...
... Prove that the straight line y - x = a + b2 x2 y2 a2 touches the ellipse + = 1 , and find the co- b2 ordinates of the point of contact . 3. If xyx sin x + cos x , prove that d'y dx2 + y == 2y 202 . 4. Find the asymptotes of the curve y1 ...
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admission Afternoon Paper angle answers Calculus CANON HEAVISIDE Cheltenham College circle Describe Differential Elementary Elementary Functions English Language equal equation Experimental Sciences Explain feet French G. W. DASENT Geography Geometrical Drawing German given Grammar Grammatical Questions Greek HENRY MOSELEY Hindustani horizontal inches Integration July Language and Composition Latin Marks and upwards Marlborough College Max Müller Mention the chief MIXED MATHEMATICS Morning Paper Morning-Mathematics names Natural Sciences number of Candidates obtained Old Charlton Plane Curves prove PURE MATHEMATICS quum radius rectangle contained respectively Royal Military Academy S. P. WOODWARD Section side solids of revolution square Stebbing straight line TABLE tangent tion triangle verbs W. N. GRIFFIN weight Woolwich Woolwich Common Write γὰρ δὲ ἐν ἐς καὶ μὲν οὐ τὰ τε τῇ τὸ τὸν τοὺς τῶν اس اور پر جو دو سي كي کا کر که کو کي کے مين مین هي
Popular passages
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Page 63 - A thousand men that fishes gnaw'd upon; Wedges of gold, great anchors, heaps of pearl, Inestimable stones, unvalued jewels, All scatter'd in the bottom of the sea...
Page 35 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Page 63 - I better brook the loss of brittle life Than those proud titles thou hast won of me ; They wound my thoughts worse than thy sword my flesh: But thought's the slave of life, and life time's fool; And time, that takes survey of all the world, Must have a stop.
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Page 44 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Page 39 - by and by ; That to hear her so complain Scarce I could from tears refrain; For her griefs, so lively shown, Made me think upon mine own. Ah...
Page 36 - If two triangles have two sides of the one equal to two sides of the...