Harriot, Thomas, Mss. 6785

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237119
Canon universalis, pro superficie cuislibet
polygoni
[Translation: A general rule for the surface of any spherical ]
Omne polygonon est triangulum vel ex triangulis compositum. &c.
Unde canon
[Translation: Every polygon is a triangle or composed from triangles, etc.
Hence the general ]
Adde omnes angulos cuislibet polygoni simul, qui sunt omnes anguli
triangulorum ex quibus constat
[Translation: Add all the angles of any polygons together, which are all the angles of the triangles from which the polygon is ]
A summa subtrahe toties 180: quoties polygonon continet
[Translation: From the sum subtract 180 as many times as the polygon contains ]
Dimidium reliqui æquali est polygono, vel omnibus triangulis
quibus constat
[Translation: Half the remainder is equal to the polygon, or all to all the triangles from which the polygon is ]
Breviter sic:
Adde omnes angulos cuislibet polygoni simul:
A summa subtrahe toties 190: quoties possibile:
Dimidium Reliqui æquale est superficiei
[Translation: More briefly thus:
Add all the angles of any polygon simultaneously.
From the sum subtract 180 as many times as possible.
Half the remainder is equal to the surface of the ]

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