A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 sider |
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Side 27
... distance of 18 miles , in an hour and a half , and that to return from B to A against the same tide , though he rows back along the shore where the stream is only three - fifths as strong as in the middle , takes him just two hours and ...
... distance of 18 miles , in an hour and a half , and that to return from B to A against the same tide , though he rows back along the shore where the stream is only three - fifths as strong as in the middle , takes him just two hours and ...
Side 54
... a fence passing across from a given point D in AC to BC . Find its length , 11 . Find the area of a triangle , having given two angles and a side opposite to one of them . 12 . Given the distances from the angles , of 54 TRIGONOMETRY .
... a fence passing across from a given point D in AC to BC . Find its length , 11 . Find the area of a triangle , having given two angles and a side opposite to one of them . 12 . Given the distances from the angles , of 54 TRIGONOMETRY .
Side 55
... distances from the angles , of the point at which the sides of a plane triangle subtend equal angles ; find the sides and the area . 13. The sides of a triangle are in arithmetical pro- gression , and the distance of the centres of the ...
... distances from the angles , of the point at which the sides of a plane triangle subtend equal angles ; find the sides and the area . 13. The sides of a triangle are in arithmetical pro- gression , and the distance of the centres of the ...
Side 57
... DISTANCES . 1. A river AC , the breadth of which is 200 feet , runs at the foot of a tower CB , which subtends an angle BAC of 25 ° 10 ′ at the edge of the bank . Required the height of the tower . 2 . The angles of elevation of a ...
... DISTANCES . 1. A river AC , the breadth of which is 200 feet , runs at the foot of a tower CB , which subtends an angle BAC of 25 ° 10 ′ at the edge of the bank . Required the height of the tower . 2 . The angles of elevation of a ...
Side 58
... distance of the top of the pillar from that of the tower . Shew how he may find the required distances , having with him an instrument for measuring angles . 6. A person on the top of a tower , the height of which is 50 feet , observes ...
... distance of the top of the pillar from that of the tower . Shew how he may find the required distances , having with him an instrument for measuring angles . 6. A person on the top of a tower , the height of which is 50 feet , observes ...
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Almindelige termer og sætninger
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
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Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 128 - To divide a given straight line 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.
Side 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Side 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 112 - 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.
Side 160 - 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.