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.

Title

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.

Author

Urquhart, Thomas, Sir, 1611-1660.

Publication

London, :: Printed by Iames Young.,

1645.

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Subject terms

Mathematics -- Early works to 1800.

Link to this Item

https://name.umdl.umich.edu/A95751.0001.001 content_copy

Cite this Item

"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." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A95751.0001.001. University of Michigan Library Digital Collections. Accessed May 19, 2024. content_copy

Contents

• title page
• TO THE RIGHT HONOVRABLE, And most noble LADY, My deare and loving Mo∣ther, the Lady DOWAGER of Cromartie.
• To the Reader.
• An Epaenetick and Doxologetick Ex∣presse, in commendation of this Book, and the Author thereof.
• The Diatyposis of the whole Doctrine of Triangles.
• In Eruditum D. Thomae Ʋrquharti equi∣tis Trissotetrados librum.
• POSITIONS.
• DEFINITIONS.
• APODICTICKS.
• The Trissotetras.
• The explanation of the Trissotetras.
• ANIMADVERSIONS.
• The Commentary.
• The Planorectangular Table hath foure Figures.
• Now let us come to the Moods of those Figures.
• Of the Planobliquangular Triangles there be foure Figures: Alaheme, Emenarole, Enerolome, and Erelea,
• Thus farre for the calculating of plaine Triangles, both right and oblique: now follow the Sphericals.
• The Orthogonosphericall Table con∣sisteth of these six Figures: Valamenep, Vemanore, Enarulome, Erolumane, Achave, and Esheva.
• The Loxogonosphericall Triangles, whether Amblygonosphericall or Oxygono∣sphericall, are either Monurgetick or Disergetick.
• The Disergetick Loxogonosphericals are grounded on foure Axioms, viz.
• Of the Disergetick Loxogonospheri∣cals there be in all foure Figures; two An∣gulary, and two Laterall.
• THE EPILOGUE.
• A Lexicidion of some of the hardest words, that occurre in the discourse of this institution Trigonometricall.
  • introduction
  • THE LEXICIDION.
• The finall Conclusion.
• The Diorthosis.