A geometrical practise, named Pantometria diuided into three bookes, longimetra, planimetra, and stereometria, containing rules manifolde for mensuration of all lines, superficies and solides: with sundry straunge conclusions both by instrument and without, and also by perspectiue glasses, to set forth the true description or exact plat of an whole region: framed by Leonard Digges gentleman, lately finished by Thomas Digges his sonne. Who hathe also thereunto adioyned a mathematicall treatise of the fiue regulare Platonicall bodies, and their Metamorphosis or transformation into fiue other equilater vniforme solides Geometricall, of his owne inuention, hitherto not mentioned of by any geometricians.

Example.

Admit the diameter of the sphere vvheron these bodies shall be described 10, this augmented by 3, maketh 30, the diameter of tetraedron: Againe the square of 10 augmented by 3, bringeth 300, so is √{powerof2}300, the diameter of octaedron and the cube: I diuide 100 by ⅓—√{powerof2}4/45 therof ariseth 1500, —√{powerof2}1800000, I cōclude therfore √{powerof2} v. 1500—√{powerof2}1800000, the diameter of the sphere that shal include the dodecaedron & Icosaedron, vvhose inscri∣bed spheres diameter is 10, and proceedyng by the laste probleme yee shall fynde the dodecaedrons syde √{powerof2} v. 1250.—√{powerof2}1512500, Icosaedrons side √{powerof2} vniuers. 1050—√{powerof2}1012500, and so foorth of al the other solides sides, and semidiameters: for consideryng theyr operation is nothynge differente from that vvas shevved in the 16 probleme, it vvere in vaine here agayne to make therof a superfluous recitall.