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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... "
The New Practical Builder and Workman's Companion, Containing a Full Display ... - Page 78
by Peter Nicholson - 1823 - 596 pages
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An Introduction to the Theory and Practice of Plane and Spherical ...

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...
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An Introduction to the Theory and Practice of Plain and Spherical ...

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/...
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First Principles of Mechanics: With Historical and Practical Illustrations

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...
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A Treatise on Conic Sections: And the Application of Algebra to Geometry

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...
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An introduction to the theory ... of plane and spherical trigonometry ...

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...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

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...
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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

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...
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The Three First Sections and Part of the Seventh Section of Newton's ...

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...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

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...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

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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