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 |
Inni boken
Resultat 1-5 av 48
Side 12
... equations : - No3x + 1 + 3x √3x + 1 √3x - ( 1 ) ( 2 ) x + y + z = 6 = 4 . 4x + y = 2z x2 + y2 + z2 = 14 ) ( 3 ) x1 + x2 + 2x √2 = 1 . ( 4 ) 4x3 - 15x + 63 = 0 , by Cardan's method , obtaining the three roots . 6. On a sum of money ...
... equations : - No3x + 1 + 3x √3x + 1 √3x - ( 1 ) ( 2 ) x + y + z = 6 = 4 . 4x + y = 2z x2 + y2 + z2 = 14 ) ( 3 ) x1 + x2 + 2x √2 = 1 . ( 4 ) 4x3 - 15x + 63 = 0 , by Cardan's method , obtaining the three roots . 6. On a sum of money ...
Side 14
... equation to a circle referred to two perpendicular tangents as axes of co - ordinates . Straight lines being drawn at right angles to one another through the fixed points a , b and -a , —b , find the locus of their intersection . 2 ...
... equation to a circle referred to two perpendicular tangents as axes of co - ordinates . Straight lines being drawn at right angles to one another through the fixed points a , b and -a , —b , find the locus of their intersection . 2 ...
Side 18
... equations ; ( 1 ) ab ( x2 + 1 ) = x ( a2 + b2 ) . ( 2 ) ( x + y ) 3 + z3 = 1125 x + y + z = 15 xy = 24 ( 3 ) x1 — 3x3 —6x2 + 28x - 24 = 0 which has equal roots . 7. When is an infinite series said to be con- vergent or divergent ? Show ...
... equations ; ( 1 ) ab ( x2 + 1 ) = x ( a2 + b2 ) . ( 2 ) ( x + y ) 3 + z3 = 1125 x + y + z = 15 xy = 24 ( 3 ) x1 — 3x3 —6x2 + 28x - 24 = 0 which has equal roots . 7. When is an infinite series said to be con- vergent or divergent ? Show ...
Side 21
... equation to a straight line referred to X y - rectangular co - ordinates is = 1 , find the dis- 3 tance of the origin from the line . 4 If y2 = 4m ( x - m ) be the equation to a parabola , where is the origin ? find the equation to the ...
... equation to a straight line referred to X y - rectangular co - ordinates is = 1 , find the dis- 3 tance of the origin from the line . 4 If y2 = 4m ( x - m ) be the equation to a parabola , where is the origin ? find the equation to the ...
Side 22
... equation to the cycloid y from an extremity of its base , find the radius of curvature at any point , and show that it is equal to twice the normal to the curve drawn at the same point . 5. Integrate the following functions : S- dx ( 1 ) ...
... equation to the cycloid y from an extremity of its base , find the radius of curvature at any point , and show that it is equal to twice the normal to the curve drawn at the same point . 5. Integrate the following functions : S- dx ( 1 ) ...
Andre utgaver - Vis alle
Report on the examination for admission to the Royal military academy at ... Woolwich roy. military acad Uten tilgangsbegrensning - 1859 |
Report on the examination for admission to the Royal military academy at ... Woolwich roy. military acad Uten tilgangsbegrensning - 1861 |
Report on the examination for admission to the Royal military academy at ... Woolwich roy. military acad Uten tilgangsbegrensning - 1868 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 67 - I'll example you with thievery: The sun's a thief, and with his great attraction Robs the vast sea: the moon's an arrant thief, And her pale fire she snatches from the sun...
Side 58 - Dewdrops are the gems of morning, But the tears of mournful eve! Where no hope is, life's a warning That only serves to make us grieve When we are old...
Side 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...
Side 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.
Side 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.
Side 53 - II lit au front de ceux qu'un vain luxe environne Que la Fortune vend ce qu'on croit qu'elle donne. Approche-t-il du but? quitte-t-il ce séjour ? Rien ne trouble sa fin : c'est le soir d'un beau jour.
Side 34 - Lorsque l'enfant paraît, le cercle de famille Applaudit à grands cris ; son doux regard qui brille Fait briller tous les yeux, Et les plus tristes fronts, les plus souillés peut-être, Se dérident soudain à voir l'enfant paraître, Innocent et joyeux.
Side 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.
Side 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...
Side 36 - If two triangles have two sides of the one equal to two sides of the...