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 54
... given triangle ABC , and r the radius of the inscribed circle , then A B C 2 2 r = 4R sin — sin sin 2 3. In a plane triangle ABC , given ... point of bisection of the opposite sides are a , ẞ , respectively ; find the angles . 7 * . In the ...
... given triangle ABC , and r the radius of the inscribed circle , then A B C 2 2 r = 4R sin — sin sin 2 3. In a plane triangle ABC , given ... point of bisection of the opposite sides are a , ẞ , respectively ; find the angles . 7 * . In the ...
Side 55
... Given 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 ...
... Given 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 ...
Side 56
... Given the area , the perimeter , and an angle ; solve the triangle . 26. Given two sides of a triangle and the included angle , find either of the angles into which the given angle is divided by a line drawn from it to the middle point ...
... Given the area , the perimeter , and an angle ; solve the triangle . 26. Given two sides of a triangle and the included angle , find either of the angles into which the given angle is divided by a line drawn from it to the middle point ...
Side 58
... A person on a tower can see the top of a pillar of known altitude , from which he wishes to know the distance ... point except E , where he can just see it over a hill B. He measures EC ... a steeple standing on a hori- 58 TRIGONOMETRY .
... A person on a tower can see the top of a pillar of known altitude , from which he wishes to know the distance ... point except E , where he can just see it over a hill B. He measures EC ... a steeple standing on a hori- 58 TRIGONOMETRY .
Side 60
... a right angle be assumed as the angular unit , what will be the numerical value of an angle of 45 ° ? Determine the ... Given three lines drawn from any point within a square to three of its angular points ; determine a side of the ...
... a right angle be assumed as the angular unit , what will be the numerical value of an angle of 45 ° ? Determine the ... Given three lines drawn from any point within a square to three of its angular points ; determine a side of the ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
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.