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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 80
by Peter Nicholson - 1823 - 596 pages
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...semicircle, or 180°. arc ADB ; it is also the chord of the arc AEB, the remainder of the circle. The sine of an arc, is a straight line drawn from one extremity of the arc, perpendicular to, and terminated by, the diameter drawn from the other extremity of the arc. As AF...
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Newton's Principia: Sections I. II. III.

Sir Isaac Newton - Curves, Plane - 1863 - 316 pages
...indifferently one for the other. Observations on the Lemma. 37. The subtense of the angle of contact of an arc is a straight line drawn from one extremity of the arc to meet, at a finite single, the tangent to the arc at the other extremity. This subtense is the secant...
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A practical treatise on mining, land and railway surveying ..., Volume 35

Henry Davis Hoskold - 1863 - 308 pages
...angle. 4. The supplement of an angle is the difference of the angle from two right angles. 5. The sine of an arc is a straight line drawn from one extremity of the arc perpendicular to the radius drawn through the other extremity. 6. The tangent of an arc is the straight...
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An elementary treatise on mensuration

Benjamin Theophilus Moore - Measurement - 1863 - 320 pages
...same ultimate position for either curve, ie the two curves have a common tangent. DBF. The subtense of an arc is a straight line drawn from one extremity of it, to meet, at a finite angle, the tangent at the other extremity. 65. Lemma VII. If any arc ACB,...
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Navigation

James Pryde - Navigation - 1867 - 506 pages
...complemental angle ; also BCD is the supplemental arc, and BOD is the supplemental angle. 117. The sine of an arc is a straight line drawn from one extremity of an arc perpendicular to the radius passing through the other extremity of the arc ; thus, BE is the...
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Differential calculus for beginners

Alexander Knox (B.A.) - 1884 - 210 pages
...tangent is the same, and is identical with that of the tangent A TD. 58. Definition.—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. Let AD be produced to some...
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Plane Trigonometry, for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1899 - 350 pages
...cotangent, cosecant, of the arc AP. These definitions are expressed in words as follows : 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...
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Principia: First Book. sections I, II, III

Isaac Newton - Curves, Plane - 1900 - 320 pages
...indifferently one for the other. Observations on the Lemma. 36. DEF. The siibiinse of the angle of contact of an arc is a straight line drawn from one extremity of the are to meet, at a finite angle, the tangent to the arc at the other extremity. This subtense is the...
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The Progressed Horoscope: A Sequel to How to Judge a Nativity, Wherein the ...

Alan Leo - Astrology - 1906 - 340 pages
...of a circle. \quadrant is the fourth part of a circle, or the arc subtending a right angle. The sine of an arc is a straight line drawn from one extremity of the arc perpendicular to the diameter passing through the other extremity of it. Therefore, the sine of 90...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...cotangent, cosecant, of the arc AP. These definitions are expressed in words as follows : 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...
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