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" U to their difference, fo is the tangent of half the fum of thofe arches, to the tangent of half their difference; and, As the fum of the... "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Side 30
av Thomas Simpson - 1799 - 79 sider
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A Compleat Treatise of Practical Navigation Demonstrated from It's First ...

Archibald Patoun - 1734 - 568 sider
...the difference of the two Angles at the Bafe ; confequemly in any Triangle, as the fum of the fides, is to their difference, fo is the Tangent of half the fum of the Angles at the Bafe, to the Tangent of half their difference. Theor. 3. If to half the fum of two...
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A Key to the Modern Sliding-rule: Containing the Description and Exlpanation ...

William Flower - 1768 - 276 sider
...hypothenufe, to the tang" ent of its adjacent perpendicular. Lemma, As the fum of tbeßnes of two unequal arcs is to their difference, fo is the tangent of half the fum of thofe arcs, to the tangent of half their difference. And, as the fum of their cq/ines is to their difference,...
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 728 sider
...and the dngle Included by them, to find the reft. In a plane triangle, As the fum of any two fides is to their difference, fo is the tangent of half the fum of their oppofite angles, to the tangent of half their difference. Then the half difference added to the...
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Encyclopædia Britannica: Or, A Dictionary of Arts, Sciences ..., Volum 18,Del 2

Colin Macfarquhar, George Gleig - 1797 - 636 sider
...of the fines of two unequal arches is to their dUFerence, fo is the tangent ef half the fum ofthofe arches : to the tangent of half their difference : and as the fum of the cpifines'ia to their difference, fo is the co-tangent of half the fum of the arches to the tangent...
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The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - 1802 - 556 sider
...either angle to the cotangent of the other angle. Thus, As the fum of the fines of two unequal arches is to their difference, fo is the tangent of half...the tangent of half their difference ; and, As the fnm of the cofines is to their difference, fo is the cotangent pf half the fum of the arches to the...
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volum 2

Thomas Hodson - 1806 - 488 sider
...either angle to the cotangent of the other angle. Thus, As the fum of the fines of two unequal arches U to their difference, fo is the tangent of half the...difference; and, As the fum of the cofines is to their ditference, fo is the cotangent of half the fum of the arches to the tangent of half the difference...
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The New Practical Navigator: Being a Complete Epitome of Navigation to which ...

John Hamilton Moore - 1807 - 586 sider
...AC. OELIQJ/E TRIGONOMETRY. AXIOM Ht. Tn every plane triangle it will be as the fum of any two fides is to their difference, fo is the tangent of half the fum of che angles oppofite thefc fides, to the tangent of half their difference, which half difference being...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volum 10

1816 - 764 sider
...other angles of the triangle DBA may be found by the following propoition. As the fum of AD and BD, to their difference, fo is the tangent of half the fum of the angles DBA, DAB, to the tangent of half their difference. Then { the difference of thcfe angles...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volum 10

Encyclopaedia Perthensis - 1816 - 772 sider
...other angles of the triangle DBA may be found by the following proportion. As the fum of AD and BD, to their difference, fo is the tangent of half the fum of the angles DBA, DAB. to the tangent of half their difference. Then | the difference' of thefe angles...
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