Solutions to the mathematical examination papers set for admission to the Royal military academy, Woolwich, and for the Royal military college [&c.] by D. Tierney and H. Sharratt1877 |
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... PAGE 8 10 15 20 25 33 39 45 52 ཨྰཿ་ ཉྙཙ 54 . 55 61 ROYAL CIVIL ENGINEERING COLLEGE , COOPER'S HILL . Arithmetic and Mensuration . Euclid Algebra 66 68 72 8825 Statics and Dynamics Plane Trigonometry Pure Mathematics ( 1 )
... PAGE 8 10 15 20 25 33 39 45 52 ཨྰཿ་ ཉྙཙ 54 . 55 61 ROYAL CIVIL ENGINEERING COLLEGE , COOPER'S HILL . Arithmetic and Mensuration . Euclid Algebra 66 68 72 8825 Statics and Dynamics Plane Trigonometry Pure Mathematics ( 1 )
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D. Tierney. Statics and Dynamics Plane Trigonometry Pure Mathematics ( 1 ) Pure Mathematics ( 2 ) Mixed Mathematics PAGE 79 85 91 95 100 ROYAL MILITARY ACADEMY , WOOLWICH , Papers in Competitive Examination viii CONTENTS .
D. Tierney. Statics and Dynamics Plane Trigonometry Pure Mathematics ( 1 ) Pure Mathematics ( 2 ) Mixed Mathematics PAGE 79 85 91 95 100 ROYAL MILITARY ACADEMY , WOOLWICH , Papers in Competitive Examination viii CONTENTS .
Page 15
... . Define the principal trigonometrical ratios , and trace the changes in sign and magnitude of sin 30 as cos 20 e varies from 0 to π . Tod . Trig . , Art . 26 . When 0-0 the value of sin 30 = = 0. TRIGONOMETRY . 15 Trigonometry.
... . Define the principal trigonometrical ratios , and trace the changes in sign and magnitude of sin 30 as cos 20 e varies from 0 to π . Tod . Trig . , Art . 26 . When 0-0 the value of sin 30 = = 0. TRIGONOMETRY . 15 Trigonometry.
Page 16
... Trig . , Art . 91 . 5. Prove that for all values of A , ( 1 ) 2 cosec 44 + 2 cot 44 = cot A – tan A. cos A + cos 3A 1 ( 2 ) = = cos 34 + cos 5A ( 1 ) 2 cosec 14 + 2 cot 4A 2 × 2 cos2 2A 2 sin 2A cos2A - cot Atan A. = = 2 cos 24 - sec 24 ...
... Trig . , Art . 91 . 5. Prove that for all values of A , ( 1 ) 2 cosec 44 + 2 cot 44 = cot A – tan A. cos A + cos 3A 1 ( 2 ) = = cos 34 + cos 5A ( 1 ) 2 cosec 14 + 2 cot 4A 2 × 2 cos2 2A 2 sin 2A cos2A - cot Atan A. = = 2 cos 24 - sec 24 ...
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... Trig . , Art . 107 . √ { ( 1 + m2 ) ( 1 + n2 ) } * If cos Atan B and cos B = tan A , prove that cos A2 sin 18 ... Trig . , Art . 215 . D Second part . Let ABC be the triangle , D TRIGONOMETRY . 17.
... Trig . , Art . 107 . √ { ( 1 + m2 ) ( 1 + n2 ) } * If cos Atan B and cos B = tan A , prove that cos A2 sin 18 ... Trig . , Art . 215 . D Second part . Let ABC be the triangle , D TRIGONOMETRY . 17.
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Common terms and phrases
AB² ABCD acceleration AD² ARITHMETIC axis BC² cent centre of gravity circle coefficient of friction Conic Sections cose cubic curve decimal described diameter Differential Calculus directrix Divide dy dx equal and parallel Euclid expression feet Find the equation forces fraction given straight line hyperbola inches inclined integration intersect Join latus rectum least common multiple logarithmic mechanical advantage METCALFE AND SON moment of inertia Multiply opposite angles parabola parallelogram Parkinson's Mechanics particle perpendicular plane point of bisection Prop prove quadrilateral radius ratio rectangle contained Result right angles roots seconds segments semicircle shew sides Similarly sin² sine square string subtending Subtract tangent Todhunter Todhunter's Trigonometry triangle ABC Trig vertex vertical virtual velocities weight whence whole number yards
Popular passages
Page 55 - If two triangles have two sides of the one equal to two sides of the...
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Page 11 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
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Page 13 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
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Page 70 - And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax.