Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 11
... right angles = · 2πr2 = 2π × area of hemisphere . FORMULE IN MENSURATION . Area of rectangle = Area of parallelogram ab ; a and b being adjacent sides . ab sin 0 , a and b being adjacent angle 0 . sides including an Area of triangle ...
... right angles = · 2πr2 = 2π × area of hemisphere . FORMULE IN MENSURATION . Area of rectangle = Area of parallelogram ab ; a and b being adjacent sides . ab sin 0 , a and b being adjacent angle 0 . sides including an Area of triangle ...
Σελίδα 79
... angles subtended at the centre by the arcs AC and BD is double of the angle AEC . 3. The diameter AB of a circle is produced to C , and through C the line CD is drawn at right angles to the line ABC : Prove that if the straight line AD ...
... angles subtended at the centre by the arcs AC and BD is double of the angle AEC . 3. The diameter AB of a circle is produced to C , and through C the line CD is drawn at right angles to the line ABC : Prove that if the straight line AD ...
Σελίδα 80
... angles of the right - angled triangle ABC the lines BD and AE are drawn to the oppo- site sides of the triangle such that the angles DBC and EAC are each equal to a . Prove that DE = AB tan ɑ . 12. Given A = 40 ° , a = 140 · 5 , b = 170 ...
... angles of the right - angled triangle ABC the lines BD and AE are drawn to the oppo- site sides of the triangle such that the angles DBC and EAC are each equal to a . Prove that DE = AB tan ɑ . 12. Given A = 40 ° , a = 140 · 5 , b = 170 ...
Σελίδα 81
... right - angled at A , and DAB and EAC be the triangles similar to ABC having their right angles at D and E respectively , prove that the triangles DAB and EAC will be together equal to the triangle ABC . 5. Define circular measure and ...
... right - angled at A , and DAB and EAC be the triangles similar to ABC having their right angles at D and E respectively , prove that the triangles DAB and EAC will be together equal to the triangle ABC . 5. Define circular measure and ...
Σελίδα 83
... angle between these two straight lines passes through the centre of the circle ... right angle . 4. Prove that the area of the square inscribed in any circle ... angles such that their difference is one degree , and their sum is the unit ...
... angle between these two straight lines passes through the centre of the circle ... right angle . 4. Prove that the area of the square inscribed in any circle ... angles such that their difference is one degree , and their sum is the unit ...
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Arithmetic axis ball base bisected body cent centre of gravity circle coefficient of friction compound interest cone cost crown 8vo cube cubic foot curve Define determine diameter Divide dwts ellipse English equal equilibrium expression feet Find the area Find the centre Find the distance Find the equation Find the number Find the sum Find the value fluid forces acting fraction geometrical Grammar horizontal plane hyperbola inches inclined plane inscribed Integrate isosceles latus rectum least common multiple length logarithms miles Multiply parabola parallel particle perpendicular pressure Prove pulleys radius ratio rectangle rectangular Reduce right angles sides simple interest sin² sine spherical triangle square root straight line string subtended Subtract surface tangent theorem tons tower triangle ABC velocity vertical vulgar fraction weight yards
Δημοφιλή αποσπάσματα
Σελίδα 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 10 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Σελίδα 184 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Σελίδα 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Σελίδα 184 - 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 on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.
Σελίδα 154 - If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.