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" As the cosine of half the sum of the two sides is to the cosine of half their difference, so is the cotangent of half the contained angle to the tangent of half the sum of the other two angles. "
The Doctrine of Plain and Spherical Trigonometry: With Its Application and ... - Σελίδα 124
των William Hawney - 1725 - 479 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A System of the Mathematics: Containing the Euclidean Geometry ..., Τόμος 2

James Hodgson - 1723 - 724 σελίδες
...every Oblique-angled Spherical Triangle it will be, . As the Sine of half the Sum of any two Sides, Is to the Sine of half their Difference ; So is the Co-tangent...half the contained Angle, To the Tangent of half the Difierence of the'oppofite Angles. > And again, As the Co-fine of half the Sura of the two Sides, To...

Philosophical essays

Richard Lovett - 1766 - 610 σελίδες
...which folves that Problem without a perpendicular, by the following projportion, > • • % P pp 2 As As the Sine of half the Sum of two Sides, to the fine of half their difference ; fo is the Co-tangent of half the contained Angle, to the Tangent of...

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801 - 658 σελίδες
...it is contained in the following Theorems. THEOREM IV. As the sine of half the sum of two sides . Is to the sine of half their difference, So is the cotangent of half their contained angle To the tangent of half the difference of the other angles, I NOTE. NOTE. It"...

The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 140 σελίδες
...When two tides and an included angle are given:— 1. As the sine of half the sum of the two side* is to the sine of half their difference so is the cotangent of half their contained angle to the tangent of half the difference of the other angles ; and again, 2. As...

Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 σελίδες
...the tangent of half the sum of the other two angles. And As the sine of half the sum of two sides is to the sine of half their difference, so is the cotangent of half the included angle to the tangent of half the difference of tlie other two angles. This is the first of...




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