| Nicolas Pike - 1808 - 480 sider
...to the other side. When any ttvo sides luilh the angle included let-wen then are given. RULE 2. — **As the sum of any two sides is to their difference ; so** 5s the tangent of the half sum of the two opposite angles, to the tangent of half the difference of... | |
| William Nicholson - 1809
...9.74198 To the sine DC .56.88 ................ l .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... | |
| John Hamilton Moore - 1810 - 336 sider
...reach from 640 to вов' on the line of numbers, equal AC. OBLIQUE TRIGONOMETRY. AXIOM III. In every **plane triangle it will be, as the sum of any two sides, is to their difference,** '.o is rhe* tangent of half; he sum of the angles opposite these sides, to the tangent of half their... | |
| Robert Gibson - 1811 - 508 sider
...wholes are as their halves, that is, AH: Iff : : CE : ED, that ia as the sum of the two sides AB and BC, **is to their difference ; so is the tangent of half the sum of the two** unknown angles A and C, to the tangent of half their difference. 2. E. DK THEO. III. fig. 12. In any... | |
| George Adams - 1813 - 534 sider
...triangle and the included angle are given, to find the other angles and side. As the sum of the two given **sides is to their difference ; so is the tangent of half the sum of the two** unknown angles, to the tangent of half their difference. Half the difference thus found, added to half... | |
| George Adams - 1813 - 534 sider
...the angle CDB, and the side CD: to find CDB we use this proportion; as the sum of the two given aides **is to their difference, so is the tangent of half the sum of the two** unknown angles to the tangent of half their difference; the angle C'DB being found; the following projwrtion... | |
| John Gummere - 1814 - 346 sider
...der will be the sum of the two unknown angles. Then ; • * * * * • * As the sum of the two given **sides, „• Is to their difference ; ,. % So is the tangent -of half the sum of the two** uuknown angles, To the tangent of half their difference.* This half difference of the two unknown angles,... | |
| Robert Gibson - 1814 - 508 sider
...wholes are as their halves, that is, AH : IH: : CE : ED, that is as the sum of the two sides AB and BC, **is to their difference ; so is the tangent of half the sum of the two** unknown angles A and G, to the tangent of half their difference. QED THEO. III. Fig. 12. In any right... | |
| Jeremiah Day - 1815 - 96 sider
...other radius. (Art. 1 19.) THEOREM II. 144. In a plane triangle, As the sum of any two of the sides, **To their difference; • • So is the tangent of half the sum of the** opposite angles, !£o the tangent of half their difference. Thus the sum of AB and AC (Fig. 25.) is... | |
| Jeremiah Day - 1815 - 126 sider
...radius. (Art. 11 9.) THEOREM II. ..* 144. In a plane triangle, Jl 3 the sum of any two of the sides, **To their difference; So is the tangent of half the sum of the** opposite angles, To the tangent of half their difference. Thus the sum of AB and AC (Fig. 25.) is to... | |
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