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.

Suppose ABCDE an vpright Quadrangular Pyramis, whose base being a square, I measure only the side BC finding it 12, which multiplied in it selfe, brin∣geth 144 the Area of the base, then do I measure the length of the line AG 10, for so am I taught in Planimetra, that multiplied in 6, halfe DE bringeth 60, the Area of the triangle ADE, but seeing the other triangles are equall to the same, considering they haue equall bases and altitudes, I neede make no more adoe, but multiply 60 by 4 so resuiteth 240 the superficies of the foure triangles concurring as A▪ and this added to 144, the base bringeth 384 the whole content superficiall

[illustration]

[illustration]

of that Pyramis. But for the Crassitude I measure the Altitude or line AF falling from A Perpendi∣cularly vpon the base, this Perpendiculars length I suppose 8, which multipli¦ed in 144 produceth 1152, and that is the Solide con¦••••nt of that Quadrangular Pyramis. In like manner to attaine the Crassitude of 〈◊〉〈◊〉 declining Pentagonal Pyramis IKLMNO, I measure the altitude or Per∣••endicular IH 20, likewise the Area of the Pentagonal basis, whose side is 14, which by the precepts geuen in Planimetra I finde 337, these multiplied together ••elde 6740, the Solide content of the declining Pyramis.