Wherefore the geodesy or measuring of right lines is thus in length, heighth, and breadth, from whence the Painter, the Architect, and Cosmographer, may view and gather of many famous place the windowes, the statues or imagery, pyramides, signes, and lastly, the length and heighth, either by a single or double: the breadth by a double dimension onely, that is, they may thus behold and take of all places the nature and symmetry; as in the example next following thou mayst make triall when thou pleasest.
The tenth Booke of Geometry, of a Triangulate and Parallelogramme.
And thus much of the geodesy of right lines, by the meanes of rectangled triangles: It followeth now of the triangulate.
1. A triangulate is a rectilineall figure compounded of triangles.
As before (for the dichotomies sake) of a line was made a Lineate, to signifie the genus of surface and a Body: so now is for the same cause of a triangle made a Triangulate, to declare and expresse the genus of a Quadrilater and Multilater, and indeed more justly, then before in a Lineate. For triangles doe compound and make the triangulate, but lines doe not make the lineate.
Therefore
2. The sides of a triangulate are two more than are the triangles of which it is made.
