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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 54
... lines drawn from the acute angles to the point of bisection of the opposite sides are a , ẞ , respectively ; find the angles . 7 * . In the triangle ABC , BC = 236 feet , angle ABC = 26 ° 30 ′ , and angle ACB = 47 ° 15 ′ , find the ...
... lines drawn from the acute angles to the point of bisection of the opposite sides are a , ẞ , respectively ; find the angles . 7 * . In the triangle ABC , BC = 236 feet , angle ABC = 26 ° 30 ′ , and angle ACB = 47 ° 15 ′ , find the ...
Σελίδα 55
... lines be drawn from the angular points of a triangle to the middle points of the opposite sides , the triangle will be divided into six equal parts . 21. If a perpendicular be let fall from the vertex of any triangle on the base , the ...
... lines be drawn from the angular points of a triangle to the middle points of the opposite sides , the triangle will be divided into six equal parts . 21. If a perpendicular be let fall from the vertex of any triangle on the base , the ...
Σελίδα 56
... of the tri- angle , the sides of which are respectively equal to the lines joining its angular points with the middle points of the opposite sides , as 4 : 3 . ; express the 32. The angles of a plane triangle 56 TRIGONOMETRY .
... of the tri- angle , the sides of which are respectively equal to the lines joining its angular points with the middle points of the opposite sides , as 4 : 3 . ; express the 32. The angles of a plane triangle 56 TRIGONOMETRY .
Σελίδα 60
... lines drawn from any point within a square to three of its angular points ; determine a side of the square . 2. Express the diagonals of a quadrilateral inscribed in a circle in terms of the sides . . 3. The excess of the sine above the ...
... lines drawn from any point within a square to three of its angular points ; determine a side of the square . 2. Express the diagonals of a quadrilateral inscribed in a circle in terms of the sides . . 3. The excess of the sine above the ...
Σελίδα 62
... lines be drawn from the angles A , B , C , meeting the oppo- site sides in a , b , c , then will 18 . Оа Ob Ос + + A a Bb Сс = 1 . In any right - angled plane triangle , twice the side of the inscribed square is an harmonical mean ...
... lines be drawn from the angles A , B , C , meeting the oppo- site sides in a , b , c , then will 18 . Оа Ob Ос + + A a Bb Сс = 1 . In any right - angled plane triangle , twice the side of the inscribed square is an harmonical mean ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.