l e m e . l i b r a r y . u t o r o n t o . c a s t c 3 4 3 2 v e r . 1 . 0 ( 2 0 1 9 ) A briefe note, taken out of M. Dees Mathematical Preface that goeth before Euclides Ele­ mentes nowe extant in our Inglish tongue, as touching what the Mathematical Sciences are, that is to say, all those Artes that order number, measure, or wayght, and tyme, without the which, in respect, we can doo nothing. For what can bee doone in any respect, but we must vse number, which is Arith­ meticke? or what can be doone, but we must vse measure or wayght, which is Geometrie? or what can there be doone, but that we must vse tyme, which dooth appertayne vnto Astro­ nomie? for by number we knowe howe many or fewe there are: and by measure we knowe whether it be ynches, feete, yardes, scores, myles, leagues, poundes, ounces, galloes, quartes, or tunnes: and by tyme, we knowe whether it be minutes, howres, dayes, weekes, monethes, yeeres, &c. Whereof two are prynci­ pal, Arithmeticke and Geometrie, wherof al these compoun­ ded sciences are spong of these two Simples. Thinges done by hand Geometricall. 1 Mecometrie. Is the measuring of the length any thing whatsoeuer. 2 Embadometrie. Is the measuring the con­ tentes of all flat things, as Land, Boorde, Glasse. 3 Stereometrie. Is the measuring of all solid bo­ dies, as Timber, Stone, Kaske, & such lyke. Thinges measured that haue di­ staunce from you. 4 Apomecometrie. Is how farre any thing is from you, whether it be on lande or on water. 5 Hipomettie. Is how high or deepe any thing seene, is from the leuell, whether it bee on Lande or water. &. Not in OED. 6 Platometrie. How broade any thing is. &c. 7 Geodesie. Is the suruaying or measuring of landes, woods, or water, hauing distaunce from you by instrument or otherwise. 8 Geographie. Is the description of Countries, or Kingdomes. 9 Cherographie or Typographie. Is the descrip­ tion of a part of a Country or kingdome. &c. No OED entry for "cherography"; antedates earliest OED entry for "typography" (1641) 10 Hydrographie. Is the discription of the Seas, with the Ilandes and rockes, and dangers and lynes, and Courses. &c. 11 Stratarithmetrie. Is the view or measuring of a battel of men, to know the number of them not comming neare them. &c. 12 Perspectiue. Demonstrateth the manner and propertie of all radiations directe, broken, and reflected. 13 Astronomie. Is the mouing of the lightes and Planets. &c. 14 Musike. Teacheth the diuersyty of sounds. &c. 15 Cosmographie. Is the description of the whole earth, and the Paralell of the heauens an­ swering thereunto. &c. 16 Astrologie. Is to geue iudgment by the signes, lights and planets. &c. 17 Statick. Is an art that doth order and deale with heuines and lightnesse. &c. Antedates earliest OED citation (1646) 18 Anthropographie. Is of thinges appertay­ nyng to the body of man, to shew them. &c. 19 Trochilike. Doth appertaine vnto the turning of wheels, this art is necessary for Clockma­ kers, & Crane makers, and Mylles, & al o­ ther sciences, that doo deale with wheeles. 20 Helicosophie. Is an art to drawe hylical or Spheral or winding lines, and is very ne­ cessary for Skrewe makers, & diuers other things. 21 Pneumatithmie. This art is necessary for all them that doo make Pumpes or great Bellows, for that it teacheth al those thinges that goe by wynde and water. &c. Not in OED 22 Menadrie. Is an art, that teacheth the making of al ingenes, as things to pull to, or thrust fro, or lyfting vp, or pressing downe. &c. 23 Hypogeiodie. Is that arte that dooth apper­ tayne vnto myners in the grounde. &c. Not in OED 24 Hydrogogie. Is that art to bring water vnto any place assigned. &c. 25 Horometrie, or Horologiographie. Is the ma­ king of Dyals of al sortes. &c. 26 Zographie. Is the art of a cunning Painter. &c. 27 Althalmasat. The art of Grauing. Not in OED 28 Archetectur. Is a cunning Mason or Car­ penter. &c. 29 Nauigation. Is sayling on the Sea. &c. 30 Thaurunaturaike. Is that which dooth make strange workes, as those that made the bra­ sen head seeme to speake, the brasen Serpent to hisse, the Doue of wood to flye, the Eagle made by art to flye. &c. Not in OED 31 Archemastrie. This art teacheth to bryng to actual experience sensible, al worthy con­ clusions, by al the artes Mathematical. &c. FINIS. To the Reader of the fyrst booke. Pricke " lexeme=" lyne " lexeme=" Plat " lexeme=" Superficial " lexeme=" Angles " lexeme=" sholded bodie " lexeme=" Circle " lexeme=" Centre " lexeme=" Circumference " lexeme=" Diametre FOr that it is sufficiently decla­ red in diuers bookes nowe ex­ tant in our Englishe tongue, wherefore I doo thinke it su­ perfluous for to shewe what a Pricke is, or what a lyne is, or what a Plat or Superficial is, or what Angles be, and what a sholded bodie is, as it is suffici­ ently declared in all these bookes: as in Euclides Ele­ mentes, and in M. Thomas Dygges booke called Pan­ tometay, and also in M. Leonarde Dygges booke cal­ led Tectonicon. &c. A Circle is that whiche is dra­ wen rounde with a payre of Compasses, a Centre is the myddle pricke, Circumference is the compasse, Diameter is the breadth of a Circle. &c. A Circle. A Centre. A Circumfe­ rence. A Diametre. A Foote. A Yarde. A pase Geome­ trical. A simple stop or yarde. A pase is two steppes. foote " lexeme=" yarde " lexeme=" pase Geometricall " lexeme=" pase " lexeme=" steppe " lexeme=" score " lexeme=" myle " lexeme=" Rod of lande measure " lexeme=" Rod of woode measure " lexeme=" fadome And furthermore, for that in this first part there is the conclusions of the Scall, and the Crosse staffe, she­ wyng by them howe for to knowe the distance vnto any place assigned: Therefore it is very necessarie for to knowe the partes of measure, as it is not vnkno­ wen vnto all men, what a foote is, and that. 12. yn­ ches maketh a foote, so. 3. foote is a yarde, and. 5. foote is a pase Geometricall: but some persons haue been of that opinion, that. 3. foote is a pase, which is a yarde, but it is but a simple steppe, and fewe men are able to endure to pase a yarde any long tyme togea­ ther: but any person may endure to steppe two foote and a halfe, all a day long togeather. Therefore a pase Geometrical, is two reasonable steppes, and that is fiue foote: and so any man may endure all a day together, and twelue pases maketh a score, and that is twentye yardes, and that maketh. 60. foote: and a myle con& teyneth. 1000. Geometrical pases, and that is. 5000. foote, and that maketh 1666. yardes. 2/3. and that is. 2. foote, and that conteyneth 83. score. 1/3. and that is. 20. foote. &c. and a Rod is. 16. foote and a halfe, of lande measure, and. 18. foote is a Rod of woode measure, according to our Englishe account: and. 303. Rodde and 1/33. that is halfe a foote, is a myle of lande mea­ sure, and. 277. Rodde, and. 7/9. that is. 14. foote of woode measure, is a myle, and a fadome is. 6. foote, and that is. 2. yardes: and. 10. fadome is a score and a myle conteyneth. 833. fadome, and. 1/3 part, that is 2. foote. &c. 12. pases is a score, that is, 20. yardes. A myle is a 1000. pases, that is. 5000. foote, or. 1666. yardes, and 3. A Rod is. 16. foote. 2. of land measure, and 18.foote is a Rod of woode measure. 6.foote is a fa­ dome, and.833 fadome is a myle. And thus muche haue I saide as touching our En­ glishe account, as concernyng the measuryng of the length, or the distances vnto any place assigned. &c.