Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 páginas |
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Página 4
... half its former rate , the same crew row 9 miles against the tide in an hour and a half . Required the rate of the strongest tide and the rate at which the crew will row in still water . 7. Solve the following quadratic equations : ( A ) ...
... half its former rate , the same crew row 9 miles against the tide in an hour and a half . Required the rate of the strongest tide and the rate at which the crew will row in still water . 7. Solve the following quadratic equations : ( A ) ...
Página 5
... half the line . Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet , and the two parts AD and DB to be 9 feet and 3 feet respectively . 2. If a straight line drawn through the centre of a circle ...
... half the line . Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet , and the two parts AD and DB to be 9 feet and 3 feet respectively . 2. If a straight line drawn through the centre of a circle ...
Página 6
... half the angle opposite to it in the original triangle is equal to a right angle . 5. Describe a circle about a given square . Prove that the area of the square inscribed in any circle is half that of the square described about the same ...
... half the angle opposite to it in the original triangle is equal to a right angle . 5. Describe a circle about a given square . Prove that the area of the square inscribed in any circle is half that of the square described about the same ...
Página 12
... half the line bisected , is equal to the square on the straight line which is made up of the half and the part produced . 2. Divide a given straight line into two parts , so that the rectangle contained by the whole and one of the parts ...
... half the line bisected , is equal to the square on the straight line which is made up of the half and the part produced . 2. Divide a given straight line into two parts , so that the rectangle contained by the whole and one of the parts ...
Página 14
... half the arc . 14. Prove that in any triangle sin A = 2 bc - √ { s ( s − a ) ( s — b ) ( s — c ) } . 15. In the triangle ABC - A = 26 ° 26 ' b = 127 and a = 85. Find B. Given log 1.271038037 , log 8.59294189 . log sin 26 ° 26 ...
... half the arc . 14. Prove that in any triangle sin A = 2 bc - √ { s ( s − a ) ( s — b ) ( s — c ) } . 15. In the triangle ABC - A = 26 ° 26 ' b = 127 and a = 85. Find B. Given log 1.271038037 , log 8.59294189 . log sin 26 ° 26 ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett Sin vista previa disponible - 2016 |
Términos y frases comunes
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 fraction geometrical 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
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Página 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.
Página 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Página 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.
Página 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.
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Página 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.
Página 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.
Página 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.