 | Thomas Keith - 1810 - 476 σελίδες
...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 - 1826 - 504 σελίδες
...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 - 1832 - 572 σελίδες
...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 - 1837 - 486 σελίδες
...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 - 498 σελίδες
...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 - 1846 - 500 σελίδες
...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 - 1847 - 488 σελίδες
...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 - 1850 - 184 σελίδες
...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 - 1851 - 674 σελίδες
...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 - 1856 - 518 σελίδες
...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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The sine of an arc is a straight line drawn from one extremity of the arc perpendicular to the radius passing through the other extremity. The tangent of an arc is a straight line touching the arc at one extremity, and limited by the radius produced through... 
