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 6
... diameter of the circle described about a triangle to any one of the sides is the same as the ratio of half the rectangle of the remaining two sides of the triangle to the area of the triangle . 9. Define the grade and the degree , and ...
... diameter of the circle described about a triangle to any one of the sides is the same as the ratio of half the rectangle of the remaining two sides of the triangle to the area of the triangle . 9. Define the grade and the degree , and ...
Página 12
... diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of which is 4 feet and the height 100 feet . Supposing that a wedge is cut out of this cylinder by two planes through its axis inclined to ...
... diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of which is 4 feet and the height 100 feet . Supposing that a wedge is cut out of this cylinder by two planes through its axis inclined to ...
Página 13
... diameters of the inscribed and circum- scribing circles . 5. Inscribe an equilateral and equiangular hexagon in a given circle . 6. If an angle of a triangle be bisected by a straight line which also cuts the base the segments of the ...
... diameters of the inscribed and circum- scribing circles . 5. Inscribe an equilateral and equiangular hexagon in a given circle . 6. If an angle of a triangle be bisected by a straight line which also cuts the base the segments of the ...
Página 23
... diameter of a circle , each attracting with a force varying as the distance , prove that the resultant force on any particle on the circumference of the circle is the same for all positions of the particle , and always passes through ...
... diameter of a circle , each attracting with a force varying as the distance , prove that the resultant force on any particle on the circumference of the circle is the same for all positions of the particle , and always passes through ...
Página 31
... diameters of the inscribed and circum- scribing circles . 9. If the exterior angle of a triangle , made by pro- ducing one of its sides , be bisected by a straight line which also cuts the base produced , the segments between the ...
... diameters of the inscribed and circum- scribing circles . 9. If the exterior angle of a triangle , made by pro- ducing one of its sides , be bisected by a straight line which also cuts the base produced , the segments between the ...
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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 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
Pasajes populares
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.