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" So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference. "
Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious ... - Page 41
by William Leybourn - 1704 - 192 pages
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A Mathematical Manual: Or, Delightful Associate ... Pub. for the ...

Edward Hatton - 1728 - 264 pages
...is, as the Sum of the two Sides / о more lg : Is to the Difference of the two Sides lg le▀ lo :: So is the Tangent of half the Sum of the oppofite Angles laga˝a I go: '•-' To the Tangent of half their Difference log le▀ Ig o : And the half Sum and half...
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volume 1

Benjamin Martin - 1736 - 362 pages
...one. F Iheorem XXIX. In a Plain Triangle, As the Sum of the Legs, is to the Difference of the Legs ; So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference. Dcmonftration. Let the given Triangle be —" ABC. and let it be...
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The Mathematician

1751 - 420 pages
...Angle : And as Radius, is to the Tangent of the Excefs of the faid Angle above half a right Angle, fo is the Tangent of half the Sum of the oppofite Angles, to the Tangent of half the Difference of the fame Angles. PROBLEM XXIV. 'Thomas Hulme, London. The Line bifefting...
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Geodaesia Improved; Or: A New and Correct Method of Surveying ..., Parts 1-2

Arthur Burns - 1771 - 396 pages
...above. AXIOM IIL In all plane Triangles, as the Sum of the Legs is to the Difference of the Legs, fo is the Tangent of half the Sum of the oppofite Angles, to the Tangent of half the Diierence j half that Difference added to half the Sum, gives the greater Angle;...
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