Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 σελίδες |
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Σελίδα 25
... straight line upon any particle bisects the angle subtended by the line at the particle . D. Prove the equation h'u ' ( du forces . + u ) = P in central E PURE MATHEMATICS . 1. In any spherical triangle prove that MAY , 1873 . 25.
... straight line upon any particle bisects the angle subtended by the line at the particle . D. Prove the equation h'u ' ( du forces . + u ) = P in central E PURE MATHEMATICS . 1. In any spherical triangle prove that MAY , 1873 . 25.
Σελίδα 26
... spherical triangles , and prove them for the cases in which one of the sides containing the right angle is the middle part . 3. If a be the spherical excess of any spherical triangle , prove that b 2 cot 2 cot + cos C cot 2 sin C 4 ...
... spherical triangles , and prove them for the cases in which one of the sides containing the right angle is the middle part . 3. If a be the spherical excess of any spherical triangle , prove that b 2 cot 2 cot + cos C cot 2 sin C 4 ...
Σελίδα 39
... triangle are the poles of the sides of its primitive triangle . 2. Given the three angles of a spherical triangle find the cosine of one of the sides . If the triangle be equilateral express the cosine of a side in the form adapted to ...
... triangle are the poles of the sides of its primitive triangle . 2. Given the three angles of a spherical triangle find the cosine of one of the sides . If the triangle be equilateral express the cosine of a side in the form adapted to ...
Σελίδα 48
... spherical triangle having given the hypotenuse , or side opposite the right angle , 70 ° 23 ′ 42 ′′ , and another ... spherical tri- angle are never less than two right angles . If on the surface of a sphere whose radius is 1000 feet the ...
... spherical triangle having given the hypotenuse , or side opposite the right angle , 70 ° 23 ′ 42 ′′ , and another ... spherical tri- angle are never less than two right angles . If on the surface of a sphere whose radius is 1000 feet the ...
Σελίδα 91
... triangle are together greater than two right angles , and less than six right angles . 2. If ABC be a spherical triangle , prove that sin A sin B sin a sinb = sin C sinc If b + c = π , prove that sin 2B + sin 2 C = 0 . 3. Find ...
... triangle are together greater than two right angles , and less than six right angles . 2. If ABC be a spherical triangle , prove that sin A sin B sin a sinb = sin C sinc If b + c = π , prove that sin 2B + sin 2 C = 0 . 3. Find ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.