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" The tangent\ of an arc is a straight line drawn from one extremity of the arc, perpendicular to the... "
Newton's Principia, First Book, Sections I., II., III.: With Notes and ... - Page 64
by Isaac Newton, Percival Frost - 1878 - 292 pages
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 478 pages
...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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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 210 pages
...or IM is the co-sine of the arc AB ; and, therefore, the sine of the complement BC. 231. The TANGENT OF AN ARC is a straight line, drawn from one extremity of the arc, where it touches it, to meet the prolongation of the radius through the other extremity. The line AK,...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 504 pages
...the sine of the, arc BA. The sine of an arc of 30° is equal to half the radius.^ (L) The tangent f 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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First Principles of Mechanics: With Historical and Practical Illustrations

William Whewell - 1832 - 572 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...to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense of the arc ACB of continued curvature, the chord...
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A Treatise on Conic Sections: And the Application of Algebra to Geometry

John Hymers - 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...to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense of the arc AC В of continued curvature, the chord...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...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 Epitome of Navigation and Nautical Astronomy with the Improved Lunar Tables

Janet Taylor - 1842 - 592 pages
...co-veraed sine of the are HP, bcing the versed sine of the complemental are PM. The chord of an are is a straight line drawn from one extremity of the arc to the other. Thus, NO is the chord of the are NBO, or of the are NWMPEO. The chord of an are of 60°,...
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Lessons in Geography and Astronomy on the Globes: Supplementary to the ...

A. Fleming - 1844 - 122 pages
...designate angles and arcs, namely : (1.) The Chord of an angle, or of its measuring arc, — which is a straight line drawn from one extremity of the arc to the other. (2.) The Sine of an angle, or its arc, — which is a perpendicular from one extremity of...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 500 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...meet at a finite angle, the tangent to the arc, at its other extremity. OBS. The following three Lemmas involve a common principle, which it may be well...
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The Three First Sections and Part of the Seventh Section of Newton's ...

Isaac Newton - 1850 - 184 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...to meet at a finite angle the tangent to the arc at its other extremity. LEMMA VII. If BD be a subtense of the arc ACB of continued curvature, the chord...
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