| William Mitchell Gillespie - 1869 - 428 páginas
...to each other at the opposite sides. THEOREM EL — In every plane triangle, the turn of two tides **is to their difference as the tangent of half the sum of the** angles opposite those sides is to the tangent of half their difference. THEOREM III. — In every plane... | |
| New-York Institution for the Instruction of the Deaf and Dumb - 1869
...we have the principle. When two sides and their included angles are given : The sum of the two sides **is to their difference as the tangent of half the sum of the** other two angles is to the tangent of half their difference. This young man also worked out a problem... | |
| Charles Davies - 1870 - 319 páginas
...0 : sin B. Theorems. THEOREM II. In any triangle, the sum of the two sides containing either angle, **is to their difference, as the tangent of half the sum of the two** other angles, to the tangent of half their difference. Let ACB be a triangle: then will AB + AC: AB—... | |
| New-York Institution for the Instruction of the Deaf and Dumb - 1871
...we have the principle. When two sides and their included angles are given : The sum of the two sides **is to their difference as the tangent of half the sum of the** other two angles is to the tangent of half their difference. This young man also worked out a problem... | |
| Elias Loomis - 1871 - 58 páginas
...^(A+B) . sin. A-sin. B~sin. ^(AB) cos- ^(A+B)~tang. ^(AB) ' that is, The sum of the sines of two arcs **is to their difference, as the tangent of half the sum of** those arcs is to the tangent of half their difference. COS f*fvt Dividing formula (3) by (4), and considering... | |
| Charles Davies - 1872 - 455 páginas
...have the following principle : In any plane triangle, the sum of the sides including either angle, **is to their difference, as the tangent of half the sum of the two** other angles, is to the tangent of half their difference. The half sum of the angles may be found by... | |
| Edward Olney - 1872 - 239 páginas
...horizontal parallax. PLANE TRIGONOMETRY. 80. Ргор.— The sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. ( DEM. — Letting a and b represent any... | |
| William Frothingham Bradbury - 1872 - 238 páginas
...same sine, and BD = a sin. BCD = a sin. C (41) B 102. In any plane triangle, the sum of any two sides **is to their difference, as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. Let ABC (Art. 103) be a plane triangle... | |
| Edward Olney - 1872 - 201 páginas
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— Tlie sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. DEM. — Letting a and b represent any... | |
| Edward Olney - 1872
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— TJie sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. 1 >K\r. — Letting a and b represent any... | |
| |