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" 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 arc BDE. "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page 3
by John Bonnycastle - 1818 - 438 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...diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE. Hence the sine (BF) is half the chord...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...Rhumbs here are chords, answering to the points of the Mariners' Compass, which are 32 in the circle. t The sine of an arc is a right line, drawn from one end of an arc perpendicular to the radius, drawn to the other end. The versed sine is the part of the...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...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 circle and the other extremity...
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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...diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE. Hence the sine (BF) is half the chord...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 4

Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 476 pages
...is the chord or subtense of 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 pocket encyclopędia, or library of general knowledge

Edward Augustus Kendall - 1811 - 462 pages
...is the chord or subtense of 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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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 162 pages
...DHB is the supplement of AB, and the angle DCB is the supplement of ACB. 15. DEF. 3. The chord of any arc is a right line drawn from one extremity of the arc to the other. Let the points B and E be in the circle, and join B, E; then the straight line BE is...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...extremity of the are to the other : 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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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...the arc BML, but also of the arc BKL. 12. THE SINE of an arc, is a straight line drawn from one end of the arc, perpendicular to the diameter which passes through the other end of the arc. Thus, BD is the sine of the arc AB, and of the angle ACB. Cor. Hence the sine of an...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...Edinburgh on the then new plan for supplying the city with water, &c. SINE, of an arc, in Trigonometry, a right line drawn from one extremity of the arc, perpendicular to the radius drawn to the other extremity of it : Or, it is half the chord of double the arc. Thus the line...
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