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
... lengths of two straight lines be each ex- pressed in feet and inches , show how the product of their lengths may represent superficial measurement . Apply the rule of duodecimals to find the area of a room 32 feet 8 inches long by 18 ...
... lengths of two straight lines be each ex- pressed in feet and inches , show how the product of their lengths may represent superficial measurement . Apply the rule of duodecimals to find the area of a room 32 feet 8 inches long by 18 ...
Página 11
... length of the third side of the field , and the number of square feet in its area . 12. The three different edges of a rectangular paral- lelopiped are respectively 3 feet , 2.52 feet , and 1 · 523 feet in length ; find the number of ...
... length of the third side of the field , and the number of square feet in its area . 12. The three different edges of a rectangular paral- lelopiped are respectively 3 feet , 2.52 feet , and 1 · 523 feet in length ; find the number of ...
Página 17
... length from a given point without it . 2. Parallelograms on the same base and between the same parallels are equal to one another . 3. If a straight line be bisected , and produced to any point , the rectangle contained by the whole ...
... length from a given point without it . 2. Parallelograms on the same base and between the same parallels are equal to one another . 3. If a straight line be bisected , and produced to any point , the rectangle contained by the whole ...
Página 22
... length of the perpendicular upon it from the vertex p2 ( a + x ' ) = ax ” . 14. Prove that the equations x2 a2 y " 2 y2 x2 1 , and + 1 a2 + c2 2 b2 + c2 2 + b2 - represent ellipses having the same foci . Show that the ellipse x + 4y = 4 ...
... length of the perpendicular upon it from the vertex p2 ( a + x ' ) = ax ” . 14. Prove that the equations x2 a2 y " 2 y2 x2 1 , and + 1 a2 + c2 2 b2 + c2 2 + b2 - represent ellipses having the same foci . Show that the ellipse x + 4y = 4 ...
Página 23
... lengths of AC and CB . 5. Enunciate the principle of the centre of parallel forces , and apply it to find the centre of gravity of a triangle and of the curved surface of a cone . If two triangles be formed by joining the middle points ...
... lengths of AC and CB . 5. Enunciate the principle of the centre of parallel forces , and apply it to find the centre of gravity of a triangle and of the curved surface of a cone . If two triangles be formed by joining the middle points ...
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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 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.
Página 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...
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.
Página 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.
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.