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Bøker Bok 110 av 25Def. 10. 1.) If then CE is made radius, GE is the tangent of GCE, (Art. 84.) that...
" Def. 10. 1.) If then CE is made radius, GE is the tangent of GCE, (Art. 84.) that is, the tangent of half the sum of the angles opposite to AB and AC. If from the greater of the two angles ACB and ABC, there be taken ACD their half sum ; the remaining... "
A Treatise on Plane and Spherical Trigonometry: Including the Construction ... - Side 40
av Enoch Lewis - 1844 - 228 sider
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Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious ...

William Leybourn - 1704 - 192 sider
...the Difference of the Sides, (as the Sine of the Sum of the Angles : Sine of the Difference of the Angle*) So is the Tangent of half the Sum of the Angles, To the langent of half the Difference of the Angles. That is, As X К : XH : : AP : A O. Therefore,...
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The British encyclopedia, or, Dictionary of arts and sciences

William Nicholson - 1809
....75486 Axiom III. In every plane triangle it will bn as the sum of any two sides is to their difference; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference. Which lialf difference, being added to half the sum...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 96 sider
...perpendicular to BG. (Euc. Def. 10. 1.) If then CE is made radius, GE is the tangent of GCE, (Art. 84.) that is, the tangent of half the sum of the angles opposite to A3 and AC. If from the greater of the two angles ACB and ABC, there be taken ACD their half sum ; the...
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - 1815 - 126 sider
...perpendicular to BG. (Euc. Def. 10. 1.) If then CE is made radius, GE is the tangent of GCE, (Art. 84.) that is, the tangent of half the sum of the angles opposite to AB and AC. If from the greater of the two angles ACB and ABC, there be taken ACD their half sum ; the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...: BE : BG, (2. 6.) that is, the sum of the two sides of the triangle ABC is to their difference as the tangent of half the sum of the angles opposite...those sides to the tangent of half their difference. QED PROP. V. If a perpendicular be dravnfrom any angle of a triangle to the opposite side, or base...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...the sum of the two sides of the triangle ABC is to their difference as the tangent of half the sam of the angles opposite to those sides to the tangent of half their difference. Q, ED PROP. V. If a, perpendicular be drawnfrom any angle of a triangle to the opposite side, or base...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 12

William Nicholson - 1821
...Axiom III. In every plane triangle, it will be as the sum of any two sides is to their difference ; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference. Which half difference, being added to half the sum...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 12

William Nicholson - 1821
....Axiom III. In every plane triangle, it will be us the sum of any two sides is to their difference ; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference. AVhich half difference, being added to half the sum...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824
...tan DAC = cot C. PROPOSITION VI. The slim of any two sides of a triangle is to tlieir difference, as the tangent of half the sum of the angles opposite to those sides is to the tangent of half their difference. Let А В С be any plane triangle. Then AB : AC : : sin...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824
...perpendicular to BG. (Euc. Def. 10. 1.) If then CE is made radius, GE is the tangent of GCE, (Art. 84.) that is, the tangent of half the sum of the angles opposite to AB and AC. If from the greater of the two angles ACB and ABC, there be taken ACD their half sum ; the...
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