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<p class = "mynote">
Return to <a href = "../main.html#groundplat">John Dee’s Preface</a>.
</p>
<p class = "center"><i>J. DEE</i></p>
<p class = "center largest">Here haue you (according to my promisse) the Groundplat of</p>
<p class = "center larger">my MATHEMATICALL Præface: annexed to <i>Euclide</i> (now first)</p>
<p class = "center">published in our Englishe tounge. An. 1570. Febr. 3.</p>
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</td>
<td class = "lower" colspan = "4">
<p><i><span class = "larger">Simple,</span> <span class = "small">Which dealeth with Numbers onely: and demon­strateth all their properties and apper­tenances: where, an Vnit, is Indiui­sible.</span></i></p>
</td>
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</td>
<td class = "bracket righttop">
</td>
<td rowspan = "2">
<p class = "small"><i>In thinges Super­naturall, æternall, & Diuine: By Appli­cation</i>, Ascending.</p></td>
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</td>
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<p class = "larger">Arithmetike.</p>
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<td colspan = "4" rowspan = "2">
<p><i><span class = "larger">Mixt</span>, <span class = "small">Which with aide of Geometrie principall, demon­strateth some Arith­meticall Conclusion, or Purpose.</span></i></p>
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<p><i><span class = "larger">The vse</span><br>
whereof, is either,</i></p>
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<p><i><span class = "small">The like Vses and Appli­cations are, (though in a degree lower) in the</span></i> Artes Mathe­maticall Deriuatiue.</p>
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<p><i><span class = "larger">Principall,</span> which are two, onely,</i></p>
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<p> <br> </p>
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<p class = "small"><i>In thinges Mathe­maticall: without farther Appli­cation.</i></p>
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<p><span class = "largest">Sciences, and Artes Mathe­maticall,</span> <span class = "larger">are, either</span></p>
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<p> <br> </p>
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<p><i><span class = "larger">Simple</span>, <span class = "small">Which dealeth with Magni­tudes, onely: and demon­strateth all their properties, passions, and apper­tenances: whose Point, is Indiui­sible.</span></i></p>
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<p> <br> </p>
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<p class = "larger">Geometrie.</p>
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<!-- <td></td> <td></td> <td></td> <td></td> <td></td> -->
<td rowspan = "2">
<p class = "small"><i>In thinges Naturall: both Substã­tiall, & Accidentall, Visible, & Inuisible. &c. By Appli­cation:</i> Descending.</p>
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<td class = "upper" colspan = "4">
<p><i><span class = "larger">Mixt</span>, <span class = "small">Which with aide of Arith­metike principall, demon­strateth some Geometricall purpose, as</span></i> EVCLIDES ELEMENTES.</p>
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<p><span class = "larger">Arith­metike,</span> <span class = "small"><i>vulgar: which consi­dereth</i></span></p>
</td>
<td colspan = "7">
<p>Arith­metike of most vsuall whole numbers: And of Fractions to them apper­taining.</p>
<p>Arith­metike of Propor­tions.</p>
<p>Arith­metike Circular.</p>
<p>Arith­metike of Radicall Nũbers: Simple, Compound, Mixt: And of their Fractions.</p>
<p>Arith­metike of Cossike Nũbers: with their Fractions: And the great Arte of Algiebar.</p>
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<!-- <td></td> <td></td> -->
<td class = "lower bracket rightline">
<p><i><span class = "larger">The names of</span> the Princi­palls: as,</i></p>
</td>
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</td>
<td class = "bracket single" colspan = "2">
<p class = "larger"><i>At hand</i></p>
</td>
<td class = "bracket single" colspan = "3">
<p>All Lengthes.—</p>
<p>All Plaines: As, Land, Borde, Glasse, &c.</p>
<p>All Solids: As, Timber, Stone, Vessels, &c.</p>
</td>
<td colspan = "2">
<p class = "larger">Mecometrie.</p>
<p class = "larger">Embadometrie.</p>
<p class = "larger">Stereometrie.</p>
</td>
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<p><i><span class = "larger">Deriuatiue</span> frõ the Princi­palls: of which, some haue</i></p>
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</td>
<td class = "upper bracket rightline">
<p><span class = "larger">Geometrie,</span> <span class = "small"><i>vulgar: which teacheth Measuring</i></span></p>
</td>
<td class = "bracket righttop" colspan = "2">
</td>
<td class = "lower">
<p><i><span class = "larger">How farre</span>, <span class = "small">from the Measurer, any thing is: of him sene, on Land or Water: called</span></i> <span class = "larger">Apomecometrie</span>.</p>
</td>
<td class = "bracket lefttop">
</td>
<td class = "bracket righttop">
</td>
<td class = "lower" colspan = "2">
<p><span class = "larger">Geodesie:</span> <span class = "small"><i>more cunningly to Measure and Suruey Landes, Woods, Waters. &c.</i></span></p>
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<td class = "bracket rightbottom">
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<td class = "upper bracket rightline" colspan = "2">
<p><i><span class = "larger">With distãce</span> <span class = "small">from the thing Measured, as,</span></i></p>
</td>
<td>
<p><i><span class = "larger">How high or deepe</span>, <span class = "small">from the leuell of the Measurers standing, any thing is: Seene of hym, on Land or Water: called</span></i> <span class = "larger">Hypso­metrie</span>.</p>
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<p><i><span class = "larger">Of which</span> are growen the Feates & Artes of</i></p>
</td>
<td colspan = "2">
<p><span class = "larger">Geographie.</span></p>
<p> </p>
<p><span class = "larger">Choro­graphie.</span></p>
<p> </p>
<p><span class = "larger">Hydro­graphie.</span></p>
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</td>
<td>
<p><i><span class = "larger">How broad</span>, <span class = "small">a thing is, which is in the Measurers view: so it be situated on Land or Water: called</span></i> <span class = "larger">Plato­metrie</span>.</p>
</td>
<td class = "bracket leftbottom">
</td>
<td class = "bracket rightbottom">
</td>
<td class = "upper" colspan = "2">
<p><span class = "larger">Strat­arith­metrie.</span></p>
</td>
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<td class = "bracket rightline" rowspan = "8">
</td>
<td class = "bracket righttop">
<p> <br> </p>
</td>
<td class = "upper" colspan = "2">
<p class = "larger">Perspectiue,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the maners and properties of all Radia­tions: Directe, Broken, and Reflected.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> -->
<td class = "bracket rightline" rowspan = "6">
</td>
<td class = "upper" colspan = "2">
<p class = "larger">Astro­nomie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the Distances, Magni­tudes, and all Naturall motions, Apparences, and Passions, proper to the Planets and fixed Starres: for any time, past, present, and to come: in respecte of a certaine Horizon, or without respecte of any Horizon.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Musike,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth by reason, and teacheth by sense, perfectly to iudge and order the diuer­sitie of Soundes, hie or low.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Cosmo­graphie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which, wholy and perfectly maketh description of the Heauenlym and also Elementall part of the World: and of these partes, maketh homologall appli­cation, and mutuall collation necessary.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Astro­logie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which reasonably demon­strateth the opera­tions and effectes of the naturall beames of light, and secrete Influence of the Planets, and fixed Starres, in euery Element and Elementall body: at all times, in any Horizon assigned.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Statike,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the causes of heauines and lightnes of all thinges: and of the motions and properties to heauines and lightnes belonging.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Anthropographie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which describeth the Nũber, Measure, Waight, Figure, Situation, and colour of euery diuers thing contained in the perfecte body of MAN: and geueth certaine knowledge of the Figure, Symmetrie, Waight, Charac­terization, & due Locall motion of any percell of the said body assigned: and of numbers to the said percell apper­taining.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> -->
<td class = "bracket rightline" rowspan = "3">
<p><i><span class = "larger">Propre names</span><br>
as,</i></p>
</td>
<td class = "upper" colspan = "2">
<p class = "larger">Trochilike,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the properties of all Circular motions: Simple and Compound.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> -->
<td class = "bracket rightbottom" rowspan = "2">
</td>
<!-- <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Helico­sophie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the designing of all Spirall lines: in Plaine, on Cylinder, Cone, Sphære, Conoïd, and Sphæroid: and their properties.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Pneuma­tithmie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth by close hollow Geometricall figures (Regular and Irregular) the straunge properties (in motion or stay) of the Water, Ayre, Smoke, and Fire, in their Conti­nuitie, and as they are ioyned to the Elementes next them.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> -->
<td rowspan = "9">
</td>
<td class = "bracket rightline" rowspan = "8">
</td>
<td class = "upper" colspan = "2">
<p class = "larger">Menadrie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth, how, aboue Natures Vertue, and power simple: Vertue and force, may be multi­plied: and so to directe, to lift, to pull to, and to put or cast fro, any multi­plied, or simple deter­mined Vertue, Waight, or Force: naturally, not, so, direc­tible, or moueable.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Hypogeiodie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth, how, vnder the Sphæricall Super­ficies of the Earth, at any depth, to any perpen­dicular line assigned (whose distance from the perpen­dicular of the entrance: and the Azimuth likewise, in respecte of the sayd entrance, is knowen) certaine way, may be prescribed and gone, &c.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Hydra­gogie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth the possible leading of water by Natures law, and by artificiall helpe, from any head (being Spring, standing, or running water) to any other place assigned.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Horometrie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth, how, at all times appointed, the precise, vsuall denomi­nation of time, may be knowen, for any place assigned.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Zographie,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which demon­strateth and teacheth, how, the Inter­section of all visuall Pyramids, made by any plaine assigned (the Center, distance, and lightes being deter­mined) may be, by lines, and proper colours repre­sented.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Archi­tecture,</p>
</td>
<td colspan = "6">
<p class = "small"><i>Which is a Science garnished with many doctrines, and diuers Instructions: by whose iudgement, all workes by other workmen finished, are iudged.</i></p>
</td>
</tr>
<tr>
<!-- <td></td> <td></td> <td></td> -->
<td class = "upper" colspan = "2">
<p class = "larger">Nauigation,</p>
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<p class = "small"><i>Which demon­strateth, how, by the Shortest good way, by the aptest direction, and in the shortest time: a suffi­cient Shippe, betwene any two places (in passage nauigable) assigned, may be conducted: and in all stormes and naturall distur­bances chauncing, how to vse the best possible meanes, to recouer the place first assigned.</i></p>
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<p class = "larger">Thaumaturgike,</p>
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<p class = "small"><i>Which geueth certaine order to make straunge workes, of the sense to be perceiued: and of men greatly to be wondred at.</i></p>
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<p class = "larger">Arche­mastrie,</p>
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<p class = "small"><i>Which teacheth to bring to actuall experience sensible, all worthy conclu­sions, by all the Artes Mathe­maticall purposed: and by true Naturall philo­sophie, concluded: And both addeth to them a farder Scope, in the termes of the same Artes: and also, by his proper Method, and in peculiar termes, procedeth, with helpe of the forsayd Artes, to the perfor­mance of complete Experi­ences: which, of no parti­cular Arte, are hable (Formally) to be challenged.</i></p>
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Return to <a href = "../main.html#groundplat">John Dee’s Preface</a>.
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