Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	line_n	4,117	5	11.1250	5	true

EEBO-TCP documents containing the quad

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ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A47139	An essay for the discovery of some new geometrical problems (judged by some learned men, impracticable) concerning angular sections, beginning with the geometrical trisection of any right lined angle, by plain geometry of right lines and arches of circles, with rule and compass only, with out all conick sections, and cubick æquations. Whether the following praxis, and apparent demonstration thereof doth not only make it practicable, but easie to the understanding of a tiro, who but understands a little in true geometrical learning. Which layeth a foundation of a plain method how to sect any angle into any other number of parts required, even as 4. 6. 8. 10; or uneven, as 5. 7. 9. 11. &c. As also to divide a circle into any number even, or uneven of equal parts. All which have great uses in the improvement of the mathematical sciences, some of which are here specified. Proposed and submitted to the impartial tryal and examination of the right reason of such artises, to whose hands it may come. By G.K.	Keith, George, 1639?-1716.	1697 (1697)	Wing K160; ESTC R221663	9,043	17
A93028	The anatomy of Urania practica or, a short mathematicall discourse; laying open the errors and impertinencies delivered in a treatise lately published by Mr. Vincent Wing, and Mr. William Leybourne, under the title of Urania practica. By Jeremy Shakerley philomath.	Shakerley, Jeremy, fl. 1651.	1649 (1649)	Wing S2911; Thomason E1366_1; ESTC R209254	23,878	48
A25369	To hit a mark, as well upon ascents and descents, as upon the plain of the horizon experimentally and mathematically demonstrated / by Robert Anderson.	Anderson, Robert, fl. 1668-1696.	1690 (1690)	Wing A3108; ESTC R113	25,099	59
A68509	The newe attractiue Containyng a short discourse of the magnes or lodestone, and amongest other his vertues, of a newe discouered secret and subtill propertie, concerning the declinyng of the needle, touched therewith under the plaine of the horizon. Now first founde out by Robert Norman hydrographer. Heerevnto are annexed certaine necessarie rules for the art of nauigation by the same R.N.	Norman, Robert, fl. 1590.; Borough, William, 1536-1599.	1581 (1581)	STC 18647; ESTC S112416	31,726	60
A01017	Feudigraphia The synopsis or epitome of surueying methodized. Anatomizing the whole corps of the facultie; viz. The materiall, mathematicall, mechanicall and legall parts, intimating all the incidents to fees and possessions, and whatsoeuer may be comprized vnder their matter, forme, proprietie, and valuation. Very pertinent to be perused of all those, whom the right, reuenewe, estimation, farming, occupation, manurance, subduing, preparing and imploying of arable, medow, pasture, and all other plots doe concerne. And no lesse remarkable for all vnder-takers in the plantation of Ireland or Virginia ... Composed in a compendious digest by W. Folkingham. G.	Folkingham, W. (William)	1610 (1610)	STC 11123; ESTC S102453	47,378	98
A89305	Horlogiographia optica. Dialling universall and particular: speculative and practicall. In a threefold præcognita, viz. geometricall, philosophicall, and astronomicall: and a threefold practise, viz. arithmeticall, geometricall, and instrumentall. With diverse propositions of the use and benefit of shadows, serving to prick down the signes, declination, and azimuths, on sun-dials, and diverse other benefits. Illustrated by diverse opticall conceits, taken out of Augilonius, Kercherius, Clavius, and others. Lastly, topothesia, or, a feigned description of the court of art. Full of benefit for the making of dials, use of the globes, difference of meridians, and most propositions of astronomie. Together with many usefull instruments and dials in brasse, made by Walter Hayes, at the Crosse Daggers in More Fields. / Written by Silvanus Morgan.	Morgan, Sylvanus, 1620-1693.; Goddard, John, fl. 1645-1671, engraver.	1652 (1652)	Wing M2741; Thomason E652_16; ESTC R202919	57,946	133
A95751	The trissotetras: or, a most exquisite table for resolving all manner of triangles, whether plaine or sphericall, rectangular or obliquangular, with greater facility, then ever hitherto hath been practised: most necessary for all such as would attaine to the exact knowledge of fortification, dyaling, navigation, surveying, architecture, the art of shadowing, taking of heights, and distances, the use of both the globes, perspective, the skill of making the maps, the theory of the planets, the calculating of their motions, and of all other astronomicall computations whatsoever. Now lately invented, and perfected, explained, commented on, and with all possible brevity, and perspicuity, in the hiddest, and most re-searched mysteries, from the very first grounds of the science it selfe, proved, and convincingly demonstrated. / By Sir Thomas Urquhart of Cromartie Knight. Published for the benefit of those that are mathematically affected.	Urquhart, Thomas, Sir, 1611-1660.	1645 (1645)	Wing U140; Thomason E273_9; ESTC R212170	85,776	129
A10541	The pathvvay to knowledg containing the first principles of geometrie, as they may moste aptly be applied vnto practise, bothe for vse of instrumentes geometricall, and astronomicall and also for proiection of plattes in euerye kinde, and therefore much necessary for all sortes of men.	Record, Robert, 1510?-1558.	1551 (1551)	STC 20812; ESTC S115664	86,278	175
A05115	Via regia ad geometriam. = The vvay to geometry Being necessary and usefull, for astronomers. Geographers. Land-meaters. Sea-men. Engineres. Architecks. Carpenters. Paynters. Carvers, &c. Written in Latine by Peter Ramus, and now translated and much enlarged by the learned Mr. William Bedvvell.; Via regia ad geometriam. English	Ramus, Petrus, 1515-1572.; Bedwell, William, ca. 1561-1632.; Clarke, John, d. 1658.	1636 (1636)	STC 15251; ESTC S108337	93,096	205
A51369	Armilogia, sive, Ars chromocritica The language of arms by the colours & metals being analogically handled according to the nature of things, and fitted with apt motto's to the heroical science of herauldry in the symbolical world : whereby is discovered what is signified by every honourable partition, ordinary, or charge, usually born in coat-armour, and mythologized to the heroical theam [sic] of Homer on the shield of Achilles : a work of this nature never yet extant / by Sylvanus Morgan ...	Morgan, Sylvanus, 1620-1693.	1666 (1666)	Wing M2738; ESTC R16382	99,548	200
A52487	The seaman's companion being a plain guide to the understanding of arithmetick, geometry, trigonometry, navigation, and astronomy. Applied chiefly to navigation: and furnished with a table of meridional parts, to every third minute: with excellent and easie ways of keeping a reckoning at sea, never in print before. Also, a catalogue of the longitude and latitude of the principal places in the world with other useful things. The third edition corrected and amended. By Matthew Norwood, mariner.	Norwood, Matthew.	1678 (1678)	Wing N1345A; ESTC R218969	104,181	203
A52075	Answers upon several heads in philosophy first drawn up for the private satisfaction of some friends : now exposed to publick view and examination / by William Marshall, Dr. of physick of the colledge of physicians in London.	Marshall, William, 17th cent.	1670 (1670)	Wing M809A; ESTC R32413	109,293	264
A07035	The art of fortification, or architecture militaire as vvell offensiue as defensiue, compiled & set forth, by Samuell Marolois revievved, augmented and corrected by Albert Girard mathematician: & translated out of French into English by Henry Hexam; Opera mathematica. Part 3.	Marolois, Samuel.; Girard, Albert, 1595-1632.; Hexham, Henry, 1585?-1650?	1631 (1631)	STC 17451; ESTC S101439	115,154	146
A32704	Natural history of nutrition, life, and voluntary motion containing all the new discoveries of anatomist's and most probable opinions of physicians, concerning the oeconomie of human nature : methodically delivered in exercitations physico-anatomical / by Walt. Charlton ...	Charleton, Walter, 1619-1707.	1659 (1659)	Wing C3684; ESTC R9545	119,441	238
A52264	Institutio mathematica, or, A mathematical institution shewing the construction and use of the naturall and artificiall sines, tangents, and secants in decimal numbers, and also of the table of logarithms in the general solution of any triangle, whether plain or spherical, with their more particular application in astronomie, dialling, and navigation / by John Newton.	Newton, John, 1622-1678.	1654 (1654)	Wing N1061; ESTC R20441	128,229	417
A31232	The English globe being a stabil and immobil one, performing what the ordinary globes do, and much more / invented and described by the Right Honorable, the Earl of Castlemaine ; and now publish't by Joseph Moxon ...	Castlemaine, Roger Palmer, Earl of, 1634-1705.; Moxon, Joseph, 1627-1691.	1679 (1679)	Wing C1242; ESTC R3787	128,382	169
A51283	Annotations upon the two foregoing treatises, Lux orientalis, or, An enquiry into the opinion of the Eastern sages concerning the prae-existence of souls, and the Discourse of truth written for the more fully clearing and further confirming the main doctrines in each treatise / by one not unexercized in these kinds of speculation.	More, Henry, 1614-1687.	1682 (1682)	Wing M2638; ESTC R24397	134,070	312
A38722	The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...; Huict livres des Eléments d'Euclide rendus plus faciles. English	Dechales, Claude-François Milliet, 1621-1678.; Euclid. Elements.; Williams, Reeve, fl. 1682-1703.	1685 (1685)	Wing E3399; ESTC R10241	136,603	430
A44631	Remarks on the new philosophy of Des-Cartes in four parts ... / done by a gentleman.	Howard, Edward.	1700 (1700)	Wing H2978; ESTC R11446	138,891	395
A03380	The schoole of skil containing two bookes: the first, of the sphere, of heauen, of the starres, of their orbes, and of the earth, &c. The second, of the sphericall elements, of the celestiall circles, and of their vses, &c. Orderly set forth according to art, with apt figures and proportions in their proper places, by Tho. Hill.	Hill, Thomas, b. ca. 1528.; Jaggard, William, 1569-1623.	1599 (1599)	STC 13502; ESTC S104125	144,541	253
A55065	The catholique planisphaer which Mr. Blagrave calleth the mathematical jewel briefly and plainly discribed in five books : the first shewing the making of the instrument, the rest shewing the manifold vse of it, 1. for representing several projections of the sphere, 2. for resolving all problemes of the sphere, astronomical, astrological, and geographical, 4. for making all sorts of dials both without doors and within upon any walls, cielings, or floores, be they never so irregular, where-so-ever the direct or reflected beams of the sun may come : all which are to be done by this instrument with wonderous ease and delight : a treatise very usefull for marriners and for all ingenious men who love the arts mathematical / by John Palmer ... ; hereunto is added a brief description of the cros-staf and a catalogue of eclipses observed by the same I.P.	Palmer, John, 1612-1679.	1658 (1658)	Wing P248; ESTC R11098	148,140	211
A53061	Poems, and fancies written by the Right Honourable, the Lady Margaret Newcastle.	Newcastle, Margaret Cavendish, Duchess of, 1624?-1674.	1653 (1653)	Wing N869; ESTC R17512	154,101	257
A80170	Navigation by the mariners plain scale new plain'd: or, A treatise of geometrical and arithmetical navigation; wherein sayling is performed in all the three kindes by a right line, and a circle divided into equal parts. Containing 1. New ways of keeping of a reckoning, or platting of a traverse, both upon the plain and mercators chart ... 2. New rules for estimating the ships way through currents, and for correcting the dead reckoning. 3. The refutation of divers errors, and of the plain chart, and how to remove the error committed thereby ... as also a table thereof made to every other centesm. 4. A new easie method of calculation for great circle-sayling, with new projections, schemes and charts ... 5. Arithmetical navigation, or navigation performed by the pen, if tables were wanting ... By John Collins of London, Pen-man, accomptant, philomathet.	Collins, John, 1625-1683.	1659 (1659)	Wing C5378A; Thomason E1002_1; ESTC R207824	177,819	300
A34005	The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination.	Collins, John, 1625-1683.; Lyon, John, professor of mathematics. Appendix touching reflective dialling.; Sutton, Henry, mathematical instrument maker.	1659 (1659)	Wing C5382; ESTC R32501	226,510	415
A70182	Two choice and useful treatises the one, Lux orientalis, or, An enquiry into the opinion of the Eastern sages concerning the praeexistence of souls, being a key to unlock the grand mysteries of providence in relation to mans sin and misery : the other, A discourse of truth / by the late Reverend Dr. Rust ... ; with annotations on them both.	Rust, George, d. 1670. Discourse of truth.; More, Henry, 1614-1687. Annotations upon the two foregoing treatises.; Glanvill, Joseph, 1636-1680. Lux orientalis.	1682 (1682)	Wing G815; Wing G833; Wing M2638; ESTC R12277	226,950	535
A68283	Foure bookes of offices enabling privat persons for the speciall seruice of all good princes and policies. Made and deuised by Barnabe Barnes.	Barnes, Barnabe, 1569?-1609.	1606 (1606)	STC 1468; ESTC S106957	238,357	234
A39333	The compleat body of the art military in three books : I. The postures of the pike and musket ..., II. Twelve exercises ..., III. The drawing up and exercising of regiments after the manner of private companies ... : also, the duties of all souldiers and officers ... / by Richard Elton ... ; to which is added a supplement comprehending these particulars, I. the duties and qualifications of all officers belonging to an army .., formerly written by Capt. Tho. Rudd ...	Elton, Richard, fl. 1650.; Rudd, Thomas, 1584?-1656.	1668 (1668)	Wing E655	278,856	257
A43987	Elements of philosophy the first section, concerning body / written in Latine by Thomas Hobbes of Malmesbury ; and now translated into English ; to which are added Six lessons to the professors of mathematicks of the Institution of Sr. Henry Savile, in the University of Oxford.; De corpore. English	Hobbes, Thomas, 1588-1679.	1656 (1656)	Wing H2232; ESTC R22309	317,285	430
A18028	Geographie delineated forth in two bookes Containing the sphericall and topicall parts thereof, by Nathanael Carpenter, Fellow of Exceter Colledge in Oxford.	Carpenter, Nathanael, 1589-1628?	1635 (1635)	STC 4677; ESTC S107604	387,148	599
A35985	Of bodies and of mans soul to discover the immortality of reasonable souls : with two discourses, Of the powder of sympathy, and, Of the vegetation of plants / by Sir Kenelm Digby, Knight.	Digby, Kenelm, Sir, 1603-1665.	1669 (1669)	Wing D1445; ESTC R20320	537,916	646
A35987	Two treatises in the one of which the nature of bodies, in the other, the nature of mans soule is looked into in way of discovery of the immortality of reasonable soules.	Digby, Kenelm, Sir, 1603-1665.	1644 (1644)	Wing D1448; ESTC R9240	548,974	508
A32712	Physiologia Epicuro-Gassendo-Charltoniana, or, A fabrick of science natural, upon the hypothesis of atoms founded by Epicurus repaired [by] Petrus Gassendus ; augmented [by] Walter Charleton ...	Charleton, Walter, 1619-1707.; Epicurus.; Gassendi, Pierre, 1592-1655.	1654 (1654)	Wing C3691; ESTC R10324	556,744	505
A00429	The elements of geometrie of the most auncient philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, citizen of London. Whereunto are annexed certaine scholies, annotations, and inuentions, of the best mathematiciens, both of time past, and in this our age. With a very fruitfull præface made by M. I. Dee, specifying the chiefe mathematicall scie[n]ces, what they are, and wherunto commodious: where, also, are disclosed certaine new secrets mathematicall and mechanicall, vntill these our daies, greatly missed; Elements. English	Euclid.; Dee, John, 1527-1608.; Candale, François de Foix, comte de, 1502-1594.; Billingsley, Henry, Sir, d. 1606.	1570 (1570)	STC 10560; ESTC S106699	1,020,889	884
A09800	The philosophie, commonlie called, the morals vvritten by the learned philosopher Plutarch of Chæronea. Translated out of Greeke into English, and conferred with the Latine translations and the French, by Philemon Holland of Coventrie, Doctor in Physicke. VVhereunto are annexed the summaries necessary to be read before every treatise; Moralia. English	Plutarch.; Holland, Philemon, 1552-1637.	1603 (1603)	STC 20063; ESTC S115981	2,366,913	1,440
A02495	The principal nauigations, voyages, traffiques and discoueries of the English nation. [vols. 1-3] made by sea or ouer-land, to the remote and farthest distant quarters of the earth, at any time within the compasse of these 1600. yeres: deuided into three seuerall volumes, according to the positions of the regions, whereunto they were directed. The first volume containeth the worthy discoueries, &c. of the English ... The second volume comprehendeth the principall nauigations ... to the south and south-east parts of the world ... By Richard Hakluyt preacher, and sometime student of Christ-Church in Oxford.; Principall navigations, voiages, and discoveries of the English nation.		1599 (1599)	STC 12626A; ESTC S106753	3,713,189	2,072