![{\displaystyle {\begin{array}{lllllll}1807\ldots \ldots &41{\overset {^{\mathrm {m} }}{,}}030&43{\overset {^{\mathrm {m} }}{,}}040&44{\overset {^{\mathrm {m} }}{,}}745&45{\overset {^{\mathrm {m} }}{,}}550&43{\overset {^{\mathrm {m} }}{,}}830&41{\overset {^{\mathrm {m} }}{,}}843\\1808\ldots \ldots &41\ {,}365&44\ {,}260&46\ {,}075&45\ {,}920&44\ {,}877&42\ {,}405\\1809\ldots \ldots &39\ {,}762&43\ {,}180&45\ {,}620&46\ {,}020&44\ {,}875&41\ {,}820\\1810\ldots \ldots &41\ {,}957&45\ {,}247&46\ {,}574&46\ {,}676&44\ {,}969&40\ {,}998\\1811\ldots \ldots &40\ {,}695&44\ {,}163&45\ {,}559&46\ {,}111&45\ {,}140&43\ {,}282\\1812\ldots \ldots &42\ {,}059&44\ {,}690&45\ {,}927&45\ {,}642&43\ {,}725&40\ {,}910\\1813\ldots \ldots &41\ {,}736&44\ {,}164&45\ {,}822&44\ {,}860&43\ {,}357&39\ {,}771\\1814\ldots \ldots &40\ {,}068&43\ {,}937&45\ {,}782&45\ {,}276&43\ {,}964&41\ {,}124\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1fdfa1c3320244ca6666da0d5982091bec579710)
L’ensemble de ces hauteurs donne, en mètres,
![{\displaystyle {\begin{alignedat}{3}f\,\ \ =&328{,}672,\qquad &f'\ =&352{,}68,\qquad &f''=&336{,}104,\\f'''=&366{,}055,&f^{\text{ıv}}=&354{,}737,&f^{\text{v}}=&332{,}153\,;\end{alignedat}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/820e3c86a80e7a7a9582e38e3ca1cdc9ff251a93)
on trouve ainsi
![{\displaystyle \zeta =-5{,}92730,\qquad \zeta '=30{,}3086,\qquad \zeta ''=328{,}630,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/84e92a40abc54e1590f888628e7cac5cf4f76e52)
et l’expression générale
des valeurs de
devient
![{\displaystyle 367{,}375-5{,}92730(t-2{,}556705)^{2},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8c294158ca4a6fc18d64bbc372af1fab861b6f10)
ce qui donne
![{\displaystyle {\begin{aligned}2i{\text{ϐ}}=&\quad 5{,}92730,\\2i\alpha =&367{,}468\,;\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9491d7f23ac2e1bce7c56d1ece6e9ce2d3ea75bc)
on a, comme dans le numéro précédent,
![{\displaystyle {\frac {\zeta '}{2\zeta }}=-{\frac {9}{8}}+k-u,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0ac58828b024bdfa4e210e6bd0d0dd07f477cb9b)
ce qui donne
![{\displaystyle u=1{,}4317+k.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/239dc6215c824e91ec75113b53920278d2594236)
Dans les syzygies des solstices, le retard journalier des marées est
en sorte que l’intervalle, pris pour unité, est ici
on a ainsi, en parties du jour,
![{\displaystyle 1{,}4317=1^{\mathrm {j} }{,}47193.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/211e71a3b5db485bc4d86f8af40923bb7590b0fa)
Dans les syzygies précédentes, on a
![{\displaystyle k=0^{\mathrm {j} }{,}14166,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c1805892abf22368be689a90f97211d6f87a939b)