Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 sider |
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Resultat 1-5 av 77
Side 55
... RADIUS of a circle is any straight line drawn from the centre to the circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the centre , and terminating in both directions in the ...
... RADIUS of a circle is any straight line drawn from the centre to the circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the centre , and terminating in both directions in the ...
Side 59
... radius AC on its equal EO , since the angles AC D , E O G are equal , the radius CD will fall on OG , and the point D on G. Therefore the arcs AD and EG coincide with each other ; hence they must be equal ( Art . 34 , Ax . 14 ) ...
... radius AC on its equal EO , since the angles AC D , E O G are equal , the radius CD will fall on OG , and the point D on G. Therefore the arcs AD and EG coincide with each other ; hence they must be equal ( Art . 34 , Ax . 14 ) ...
Side 61
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius C E be perpendicu- lar to the chord AB ; then will CE bisect the chord at D , and the arc AB at E. E D Draw the ...
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius C E be perpendicu- lar to the chord AB ; then will CE bisect the chord at D , and the arc AB at E. E D Draw the ...
Side 62
With Practical Applications Benjamin Greenleaf. ( Prop . V. ) ; hence the radius CE , which is perpendicular to the chord AB , bisects the arc A B subtended by the chord . 178. Cor . 1. Any straight line which joins the centre of the ...
With Practical Applications Benjamin Greenleaf. ( Prop . V. ) ; hence the radius CE , which is perpendicular to the chord AB , bisects the arc A B subtended by the chord . 178. Cor . 1. Any straight line which joins the centre of the ...
Side 64
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B- termination A : then will it be a tangent to the circle . Draw from the centre C to BD ...
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B- termination A : then will it be a tangent to the circle . Draw from the centre C to BD ...
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Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1876 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1861 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle ACB angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed interior angles isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Populære avsnitt
Side 28 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 37 - 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.
Side 79 - Two rectangles having equal altitudes are to each other as their bases.
Side 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Side 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Side 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Side 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Side 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Side 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Side 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.