Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 490 sider |
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Side 55
... RADIUS of a circle is any straight line drawn from the centre to the circumference ; as the line CA , CD , or C B. 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 C B. 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 A CD , EO 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 A CD , EO 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 B 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 B Draw the ...
Side 62
With Practical Applications Benjamin Greenleaf. ( Prop . V. ) ; hence the radius CE , which is perpendicular to the chord A B , 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 A B , bisects the arc A B subtended by the chord . 178. Cor . 1. Any straight line which joins the centre of the ...
Side 63
... 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 ...
Andre utgaver - Vis alle
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 - 1862 |
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 angles ACD angles equal base bisect centre chord circle circumference cone convex surface cosec cosine Cotang diagonal diameter distance divided drawn equal angles equal Prop equiangular equilateral equivalent exterior angle feet four right angles frustum gles greater half the sum homologous homologous sides hypothenuse inches included angle inscribed less Let ABC line A B logarithm mean proportional multiplied parallelogram parallelopipedon perimeter perpendicular polyedron prism PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon right angles Prop right-angled triangle Scholium secant secant line segment side A B side BC similar slant height solidity solve the triangle sphere spherical triangle Tang tangent THEOREM triangle ABC trigonometric functions vertex
Populære avsnitt
Side 17 - 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 57 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 155 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Side 28 - 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 118 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Side 98 - 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 144 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Side 176 - Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Side 14 - Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other.
Side 95 - STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.