| Thomas Keith - Navigation - 1810 - 420 pages
...radius, for AC is t/x sine of the arc BA. The sine of an arc of 30° is equal to half the t radius.-)(L) **The tangent^, of an arc is a straight line drawn from one extremity of the arc,** perpendicular to the diameter, and is terminated by a straight line drawn through the centre of the... | |
| Thomas Keith - Navigation - 1826 - 442 pages
...other straight lines described in and about a circle, called chords, sines, tangents, &c. (G) The chord **of an arc is a straight line drawn from one extremity of the arc** to the other. Thus Ьн. is the chord of the arc ¿н, or of the arc HAFBD&. The chord of an arc q/... | |
| William Whewell - Mechanics - 1832 - 118 pages
...position will be a tangent to each, that is, the arcs AB, Ab have a common tangent. DBF. The subtense **of an arc is a straight line, drawn from one extremity of the arc** to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense... | |
| John Hymers - Conic sections - 1837 - 486 pages
...position will be a tangent to each, that is, the arcs APB, Apb have a common tangent. * DEF. The subtense **of an arc is a straight line drawn from one extremity of the arc** to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense... | |
| Thomas Keith - 1839
...radius, for AC is the sine of the arc BA. The sine of an arc of 30° is equal to half the radius.-f (99) **The tangent\ of an arc is a straight line drawn from one extremity of the arc,** perpendicular to the diameter, and is terminated by a straight line drawn through the centre of the... | |
| Harvey Goodwin - Mathematics - 1846 - 468 pages
...vanish together, and the chord APp in its ultimate position will be a tangent to both. DEF. The subtense **of an arc is a straight line, drawn from one extremity of the arc** to meet at a finite angle, the tangent to the arc, at its other extremity. OBS. The following three... | |
| Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...the diameter drawn to the other end : thus AF is the sine of the arc AD, and of its supplement AE. **The tangent of an arc is a straight line drawn from one** end of the arc perpendicular to the extremity of the diameter, and terminated by the prolongation of... | |
| Isaac Newton - Curves, Plane - 1850 - 163 pages
...will be a tangent to each, that is, the arcs AB, A b have a common tangent. Fig. 8. Def. The subtense **of an arc is a straight line, drawn from one extremity of the arc** to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense... | |
| Janet Taylor - Nautical astronomy - 1851 - 702 pages
...quadrant, or two angles whose sum is a right angle, are called complements of each other. The sine **of an arc, is a straight line drawn from one extremity of** an arc perpendicular to a diameter passing through the other extremity of the same arc. Thus, PD is... | |
| Peter Nicholson - Cabinetwork - 1856 - 216 pages
...between that arc and a semi-circle. Thus, the arc given being AB, its supplement is BC. 146. The SINE **OF AN ARC is a straight line, drawn from one extremity of the arc,** upon and perpendicular to a radius or diameter. Thus, BM is the sine of the arc AB ; and here it is... | |
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