| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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