374
NOTES DU TRADUCTEUR.
(taches sur le fac-similé, voir la page de discussion)
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![{\displaystyle \Theta '=\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/03a84e4fda9aa8c20f90c9a5b1a17c55821a3c77) |
91° 35′ 2,7″ |
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0,301030
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![{\displaystyle \alpha ''=\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd9f3547998038a9b854514a82f2edcc566721d6) |
106° 53′ 49,9″ |
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0,0071444
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![{\displaystyle \Theta '\!\!-\!\alpha ''\!=-}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3774351d278d1862e677d04989e5387cc0d9b5ce) |
15° 18′ 47,2″ |
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1,9843000
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1,9027810
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0,1952554 |
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![{\displaystyle 2\mathrm {MR} \cos(\Theta -\alpha '')={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/95590934790aa9af5338ec81984185486a9aaa28) |
1,56767
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![{\displaystyle \alpha ''=\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd9f3547998038a9b854514a82f2edcc566721d6) |
106° 53′ 49,9″ |
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0,301030
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![{\displaystyle \alpha =\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/7338013b23faaea14df6754d812ef95682bc8a2a) |
96° 59′ 38,0″ |
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1,9027810
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![{\displaystyle \alpha ''\!-\alpha =\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/b7f525ecc1c3b8f1890381c9e9e06e2ed974a36b) |
9° 54′ 11,9″ |
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1.9934793
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0,1972905 |
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![{\displaystyle 2\mathrm {M} \cos(\alpha ''\!-\alpha )={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/27fc7fe83069aacc8b25000e06402ef8227240c6) |
1,57503
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![{\displaystyle \beta \;=\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d04db85b534589d35f445b7ad344b68c204407b6) |
18° 55′ 46,8″ |
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1,535237
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![{\displaystyle \beta ''=\quad }](https://wikimedia.org/api/rest_v1/media/math/render/svg/4cf59d665bc0b231248913d1172a54dc58b1dca3) |
18° 56′ 1,7″ |
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1,535340
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0,301030
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1,902781
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1,274388 |
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![{\displaystyle 2\mathrm {M} \operatorname {tang} \beta \operatorname {tang} \beta ''={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a65ad74b3a51ddb03eafc6ee2e3dcde60911b084) |
0,18810
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on a par suite,
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![{\displaystyle r^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a363a15442d031416d1eb62254a9c726e3f6c66c) |
![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
1,03345 2,02411
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![{\displaystyle .\rho {}+{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/133d9b0164e5e1777b36b44e922ad11177652fbf) |
1,11762 |
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![{\displaystyle r''^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/40c2734862307cc7eeaae025d4c95074f591db9d) |
![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
1,03372 1,59807
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![{\displaystyle .\rho {}+{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/133d9b0164e5e1777b36b44e922ad11177652fbf) |
0,71429 |
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![{\displaystyle r^{2}\!+r''^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d363bba66a641a4ab5b6e81fd90ffaeedcaf9735) |
![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
2,06717 3,62218
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![{\displaystyle \rho {}+{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c1eb3c2e2b8ee14a28e463cdec9d9d3b77eda620) |
1,83191 |
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![{\displaystyle -}](https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36) |
2,06006 2,03331
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![{\displaystyle -{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ab0e5b4620c1d9aad1dcfe020290bbefa7da8ab2) |
1,57503 |
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1,56767
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![{\displaystyle -{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ab0e5b4620c1d9aad1dcfe020290bbefa7da8ab2) |
0,18810 |
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d’où |
![{\displaystyle \mathrm {K} ''^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/16d31b409602e9da3b9c20677752eba4439dfb86) |
![{\displaystyle =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743) |
0,00711 0,02120
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![{\displaystyle .\rho {}+{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/133d9b0164e5e1777b36b44e922ad11177652fbf) |
0,06878 |
![{\displaystyle .\rho ^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a97bf494522fa7d85637fa9e58dc8a5c3736beba) |
(5)′
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Les équations (3)′, (4)′ et (5)′ sont les équations à l’aide desquelles,
en faisant sur
différentes hypothèses, nous allons essayer de satisfaire
à la relation
![{\displaystyle \mathrm {T} ''\!-\mathrm {T} =4,98546=\mathrm {C} \left[\left({\frac {r+r''+\mathrm {K} ''}{2}}\right)^{\frac {3}{2}}-\left({\frac {r+r''-\mathrm {K} ''}{2}}\right)^{\frac {3}{2}}\right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3c923d18b584dc06e928fb9418a7478ed166f7e6)
Si nous faisons d’abord
nous trouvons
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![{\displaystyle r^{2}={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c2c85ac6b7d6e35c2b2c12e58d9399a5c926142a) |
1,03345 |
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![{\displaystyle +{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a5c74a542c55eca5224b4750ff25cf738f15f4f8) |
1,11762
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![{\displaystyle -{}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ab0e5b4620c1d9aad1dcfe020290bbefa7da8ab2) |
2,02411
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![{\displaystyle r^{2}={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c2c85ac6b7d6e35c2b2c12e58d9399a5c926142a) |
0,12696 |
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![{\displaystyle \log ={}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/18659cee9ba6a5c44f351ccca6e24953451c120f) |
1,103668
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