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" The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE. "
An Introduction to the Theory and Practice of Plane and Spherical ... - Page 31
by Thomas Keith - 1810 - 420 pages
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...arc of 50°, then its supplement BDE will be 130°. ?. "The Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental...
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A pocket encyclopædia, or library of general knowledge

Edward Augustus Kendall - 1811 - 462 pages
...the arc BAE, or BDE. The sine, or, as it is sometimes called, the riglrt sine, of an arc, is a right line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity : thus BF is the sine of the arc AB, or BD. The versed sine of...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 4

Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 476 pages
...the arc BAE, or BDE. The sine, or, as it is sometimes called, the right sine, of an arc, is a right line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity : thus BF is the sine of the arc AB, or BD. The versed sine of...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...an arc of 50", then its supplement BDE will be 1 30°. 7. The Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...: thus the line BE is the chord of the arc B AE or BD E, Fig. 81. 6. The sine of an arc, is a right line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity : thus BF is the sine of the arc ABorBD, Fig. 81. 7- The cosine...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 488 pages
...80". Thus B oc is the complement of A o B, and B oa is its supplement. The sine of an arc is a right line drawn from one extremity of the arc perpendicular to the diameter which passes through the other extremity. Thus BD is the sine of AB, or of B a. The cosine of an arc...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...an arc of nO°. then itl supplement BDE will be J30°. 7. The Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AH, or of the supplemental...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...Hence, BO 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 - Navigation - 1826 - 504 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 - 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 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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