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" So, likewise, may the sines of the minutes in the beginning of the quadrant be found, by having the sines and cosines of one and two minutes given. For, as the radius is to double the cosine of 2' : : sine 1' : difference of the sines of 1' and 3 : :... "
The Elements. Of Plain and Spherical Trigonometry: Also a Short Treatise of ... - Page 10
by John Keill - 1726 - 141 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...accordingly,- if the Sines Sines of the Diftances from the Arc of 30 Degrees, be multiply 'd by y's, the Differences of tHe Sines will be had. So likewife may the Sines of the Minutes in the Begining the Quadrant be found, by having the Sines• and Cofines of one and two Minutes given. F,or...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...CB:CE: CD:2CE ::i : 2 >/ i == V = Sines of the Diftances from the Arc of 30 Degrees, be multiplied by 1/ 3, the Differences of the Sines will be had. So likewife...one and two Minutes given. For as the Radius is to double the Cofme of ? : ; Sine i' : Difference of the Sines of i' and 3':: Sine 2' : Difference of...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...Arc of 30 Degrees, be multiplied by </ 3, the Differences of the Sines will be had. So, lilcewife, may the Sines of the Minutes in the Beginning of the Quadrant be found, by having the bine, and Cofines of one and two Minutes given,. For, as the Radius is to double the Cofine of 2' :...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...the arc of 30 degrees be multiplied by */3, the differences of the sines will be had. So, likewise, may the sines of the minutes in the beginning of the quadrant be found, by having the sine and cosines of one and two minutes, given. For, as the radius is to double the cosine of 2'::...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...the arc of SO degrees be multiplied by ^3, the differences of the sines will be had. , So, likewise, may the sines of the minutes in the beginning of the quadrant be found, by having the sine and cosines of one and two minutes, given. ' For, as the radius is to double the cosine of 2'...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...the arc of 30 degrees, be multiplied by V 3, the differences of the sines will be had. So, likewise, may the sines of the minutes in the beginning of the quadrant be found, by having the sines and cosines of one and two minutes, given. For, as the radius is to double the cosine of 2': '.sine 1'...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...arc of 30 degrees, be multiplied by •/ 3, the differences of the sines will be had. So, likewise, may the sines of the minutes in the beginning of the quadrant be found, by having the sines and cosines of one and two minutes given. For, as the radius is to double the cosine of 2' : : sine 1'...
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