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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Resultater 1-5 af 22
Side 54
... perpendicular from the vertex C upon the base AB ; and the difference of the segments of the base made by the perpendicular ; find the sides of the triangle . Given the vertical angle , the perpendicular let fall from the vertical angle ...
... perpendicular from the vertex C upon the base AB ; and the difference of the segments of the base made by the perpendicular ; find the sides of the triangle . Given the vertical angle , the perpendicular let fall from the vertical angle ...
Side 55
... perpendicular from the greatest angle on the op- posite side is p . Find its area . 18. Determine the triangle , whose sides are three con- secutive terms in the series of natural numbers , and whose largest angle is double of the least ...
... perpendicular from the greatest angle on the op- posite side is p . Find its area . 18. Determine the triangle , whose sides are three con- secutive terms in the series of natural numbers , and whose largest angle is double of the least ...
Side 61
... 2t : 1 + t2 . 13. Required the perpendicular from the vertex upon the base of a triangular pyramid , all the sides of which are equilateral triangles of given area . 14. A circle is inscribed in an equilateral triangle , TRIGONOMETRY . 61.
... 2t : 1 + t2 . 13. Required the perpendicular from the vertex upon the base of a triangular pyramid , all the sides of which are equilateral triangles of given area . 14. A circle is inscribed in an equilateral triangle , TRIGONOMETRY . 61.
Side 67
... perpendicular to each other . 17 . The resultant and sum of two forces being given , and also the angle which one of them makes with the resultant ; it is required to determine the forces and the angle at which they act . PRINCIPLE OF ...
... perpendicular to each other . 17 . The resultant and sum of two forces being given , and also the angle which one of them makes with the resultant ; it is required to determine the forces and the angle at which they act . PRINCIPLE OF ...
Side 75
... perpendicular to each other are respectively 3 and 4 ; determine the direction and velocity of the particle's motion . 5. If 1 yard be taken as the unit of length , and 1 minute as the unit of time , what will be the numerical value of ...
... perpendicular to each other are respectively 3 and 4 ; determine the direction and velocity of the particle's motion . 5. If 1 yard be taken as the unit of length , and 1 minute as the unit of time , what will be the numerical value of ...
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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.