Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 pages |
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Page 1
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . 2. 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 ...
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . 2. 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 ...
Page 4
... it found most convenient to calculate logarithms to a base 10 ? Of what number is 5 the logarithm to the base 10 ? Find by the aid of the tables ( 24.76 ) + ( * 0045 ) 10 A right - angled triangle has a base of 4 DIRECT COMMISSIONS .
... it found most convenient to calculate logarithms to a base 10 ? Of what number is 5 the logarithm to the base 10 ? Find by the aid of the tables ( 24.76 ) + ( * 0045 ) 10 A right - angled triangle has a base of 4 DIRECT COMMISSIONS .
Page 5
Braithwaite Arnett. 10 A right - angled triangle has a base of 240 feet , and the hypothenuse is 400 feet ; find the ... triangles and its area found . MATHEMATICS .. ( GEOMETRY AND TRIGONOMETRY ) . 3 hrs . 1. If a straight line be ...
Braithwaite Arnett. 10 A right - angled triangle has a base of 240 feet , and the hypothenuse is 400 feet ; find the ... triangles and its area found . MATHEMATICS .. ( GEOMETRY AND TRIGONOMETRY ) . 3 hrs . 1. If a straight line be ...
Page 6
... triangle . If the points of contact be joined prove that each angle of the triangle so formed together with half the angle opposite to it in the original triangle is equal to a right angle . 5. Describe a circle about a given square ...
... triangle . If the points of contact be joined prove that each angle of the triangle so formed together with half the angle opposite to it in the original triangle is equal to a right angle . 5. Describe a circle about a given square ...
Page 7
... triangle whose sides are a , b , and с is √s ( sa ) ( sb ) ( s — c ) } , s being the semi - perimeter . 16. In the triangle ABC A = 60 ° 15 ′ , B = 54 ° 30 ′ , and AB = 100 yards , find AC having given L sin 54 ° 30 ' 9.9106860 , = L ...
... triangle whose sides are a , b , and с is √s ( sa ) ( sb ) ( s — c ) } , s being the semi - perimeter . 16. In the triangle ABC A = 60 ° 15 ′ , B = 54 ° 30 ′ , and AB = 100 yards , find AC having given L sin 54 ° 30 ' 9.9106860 , = L ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett No preview available - 2016 |
Common terms and phrases
acres Algebra angular points ARITHMETIC AND LOGARITHMS arithmetic series axis base bisects the angle cent centre of gravity chords coefficient continued fraction cosine cubic cuts the circle Define Describe a circle diameter distance Divide ellipse equilateral Euclid expression exterior angle feet Find by Practice Find the equation find the number Find the value forces acting Geometry given circle given straight line given triangle inches inscribed intersection latus rectum least common multiple logarithms METCALFE AND SON Mixed Mathematics Multiply parabola parallel parallelogram particle perpendicular places of decimals pressure produced prove PURE MATHEMATICS ratio rect rectangle contained right angles shew sides simple interest spherical triangle string subtended Subtract surface tangent things taken Todhunter's triangle ABC TRIGONOMETRY velocity vertex vertical vis viva weight yards
Popular passages
Page 83 - 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 72 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Page 72 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 54 - 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 12 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 82 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Page 44 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.
Page 82 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Page 1 - 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.