An Analysis of Scottish Borrowers' Registers
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Record ID 179826
Wingate's Airthmetic
Borrowed: 1771/11/13 (Wednesday). Returned: 1771/12/20 (Friday). Classmark: C6. 41. Original Returned Text: Wingat's Airthmetic.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Edmund Wingate (Male, born 1596, died 1656)
Genre: Education, Genre: Mathematics
Mr Wingate’s arithmetick; containing a plain and familiar method for attaining the knowledge and practice of common arithmetick. The ninth edition, very much enlarged. First composed by Edmund Wingate late of Grays-Inn, Esquire. Afterwards, upon Mr. Wingate’s request, enlarged in his life-time: also since his decease carefully revised, and much improved, as will appear by the preface, and table of contents, by John Kersey, teacher of the mathematicks, at the sign of the Globe in Shandois-street in Covent-Garden.
Classmark: F.8.54, C.6.41.
Confidence level: Certain
Edmund Wingate (Male, born 1596, died 1656)
Genre: Education, Genre: Mathematics
Mr Wingate’s arithmetick; containing a plain and familiar method for attaining the knowledge and practice of common arithmetick. The ninth edition, very much enlarged. First composed by Edmund Wingate late of Grays-Inn, Esquire. Afterwards, upon Mr. Wingate’s request, enlarged in his life-time: also since his decease carefully revised, and much improved, as will appear by the preface, and table of contents, by John Kersey, teacher of the mathematicks, at the sign of the Globe in Shandois-street in Covent-Garden.
Language: English . Published: London. Date of publication: 1694. Format: 8vo.
Number of borrowings: 6
ESTC: R218564
Edmund Wingate (Male, born 1596, died 1656)
Genre: Education, Genre: Mathematics
Plain and Familiar Method for Attaining the Knowledge and Practice of Common Arithmetic
Borrowed: 1771/11/13 (Wednesday). Returned: 1771/12/20 (Friday).
Borrower: Maurice West
Author: Edmund Wingate (Male, born 1596, died 1656), Genre: Education, Genre: Mathematics
Plain and Familiar Method for Attaining the Knowledge and Practice of Common Arithmetic
Record ID 179829
Medical Essays 1 & 2 Vol
Borrowed: 1771/12/9 (Monday). Returned: 1771/12/26 (Thursday). Classmark: M7. 10. Original Returned Text: Medical Essays 1 & 2 Vol.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical essays and observations / published by a Society in Edinburgh.
Classmark: M.7.10.
Volumes borrowed: Volume 1, Volume 2
Confidence level: Certain
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical essays and observations / published by a Society in Edinburgh.
Language: English . Published: Edinburgh. Date of publication: 1747. Format: 12mo.
Number of borrowings: Volumes associated with this edition were borrowed 17 times in 8 borrowing records
ESTC: T132162
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical Essays and Observations [Philosophical Society of Edinburgh]
Borrowed: 1771/12/9 (Monday). Returned: 1771/12/26 (Thursday).
Borrower: Maurice West
Author: Philosophical Society of Edinburgh (Unspecified, born 1731), Genre: Medicine
Medical Essays and Observations [Philosophical Society of Edinburgh]
Volumes borrowed: Volume 1, Volume 2
Record ID 179832
Medical Essays 3 & 4 Vol.
Borrowed: 1771/12/26 (Thursday). Returned: 1772/1/20 (Monday). Classmark: --- -. Original Returned Text: Medical Essays 3 & 4 Vol.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical essays and observations / published by a Society in Edinburgh.
Classmark: M.7.10.
Volumes borrowed: Volume 3, Volume 4
Confidence level: Certain
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical essays and observations / published by a Society in Edinburgh.
Language: English . Published: Edinburgh. Date of publication: 1747. Format: 12mo.
Number of borrowings: Volumes associated with this edition were borrowed 17 times in 8 borrowing records
ESTC: T132162
Philosophical Society of Edinburgh (Unspecified, born 1731)
Genre: Medicine
Medical Essays and Observations [Philosophical Society of Edinburgh]
Borrowed: 1771/12/26 (Thursday). Returned: 1772/1/20 (Monday).
Borrower: Maurice West
Author: Philosophical Society of Edinburgh (Unspecified, born 1731), Genre: Medicine
Medical Essays and Observations [Philosophical Society of Edinburgh]
Volumes borrowed: Volume 3, Volume 4
Record ID 179835
Rudiman's Grammar
Borrowed: 1772/1/20 (Monday). Returned: 1772/2/15 (Saturday). Classmark: O7. 14. Original Returned Text: Rudiman's Grammar.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Thomas Ruddiman (Male, born 1674, died 1757)
Genre: Education
Grammaticae Latinae institutiones, facili, atque ad puerorum captum accommodatâ, methodo perscriptae : additae sunt, in provectiorum gratiam, notae perpetuae: quibus non solum Latini sermonis praecepta pleniùs explicantur, sed & ea pleraque omnia, quae à summis grammaticis aliisque ad hanc artem illustrandam sunt observata, succinctè simul perspicuèque traduntur / perfecit, & suis animadversionibus auxit, Thomas Ruddimannus, A. M.
Classmark: E.7.24, P.6.29, O.7.14.
Volumes borrowed: Volume 1
Confidence level: Certain
Thomas Ruddiman (Male, born 1674, died 1757)
Genre: Education
Grammaticae Latinae institutiones, facili, atque ad puerorum captum accommodatâ, methodo perscriptae : additae sunt, in provectiorum gratiam, notae perpetuae: quibus non solum Latini sermonis praecepta pleniùs explicantur, sed & ea pleraque omnia, quae à summis grammaticis aliisque ad hanc artem illustrandam sunt observata, succinctè simul perspicuèque traduntur / perfecit, & suis animadversionibus auxit, Thomas Ruddimannus, A. M.
Language: Latin . Published: Edinburgh. Date of publication: 1725. Format: 8vo.
Number of borrowings: Volumes associated with this edition were borrowed 14 times in 10 borrowing records
ESTC: T138808
Thomas Ruddiman (Male, born 1674, died 1757)
Genre: Education
Grammaticae Latinae Institutiones
Borrowed: 1772/1/20 (Monday). Returned: 1772/2/15 (Saturday).
Borrower: Maurice West
Author: Thomas Ruddiman (Male, born 1674, died 1757), Genre: Education
Grammaticae Latinae Institutiones
Volumes borrowed: Volume 1
Record ID 179838
Parson's Airthmetic
Borrowed: 1772/2/15 (Saturday). Returned: 1772/3/3 (Tuesday). Classmark: Q8. 49. Original Returned Text: Parson's Airthmetic.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
John Parsons (Male), Thomas Wastell (Male)
Genre: Mathematics
Clavis, arithmeticæ: or, A key to artithmetick in numbers and species; Wherein arithmetick and algebra are abridged, demonstrated and made easie, in their several fundamentals and consequents. Collated form the most authentic authors on those subjects, with many improvements and useful theorems, not hitherto extant. Begun by John Parsons, decd. and compleated by Tho. Wastell.
Classmark: J.8.35, Q.8.49.
Confidence level: Certain
John Parsons (Male), Thomas Wastell (Male)
Genre: Mathematics
Clavis, arithmeticæ: or, A key to artithmetick in numbers and species; Wherein arithmetick and algebra are abridged, demonstrated and made easie, in their several fundamentals and consequents. Collated form the most authentic authors on those subjects, with many improvements and useful theorems, not hitherto extant. Begun by John Parsons, decd. and compleated by Tho. Wastell.
Language: English . Published: London. Date of publication: 1703. Format: 8vo.
Number of borrowings: 4
ESTC: T166572
John Parsons (Male), Thomas Wastell (Male)
Genre: Mathematics
Clavis, Arithmeticae: or, A Key to Artithmetick in Numbers and Species
Borrowed: 1772/2/15 (Saturday). Returned: 1772/3/3 (Tuesday).
Borrower: Maurice West
Author: John Parsons (Male), Thomas Wastell (Male), Genre: Mathematics
Clavis, Arithmeticae: or, A Key to Artithmetick in Numbers and Species
Record ID 179841
Andrew's Virgil
Borrowed: 1772/2/19 (Wednesday). Returned: 1772/3/3 (Tuesday). Classmark: P4. 20. Original Returned Text: Andrew's Virgil.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
The works of Virgil, Englished by Robert Andrews.
Classmark: P.4.20, P.3.24.
Confidence level: Certain
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Works of Virgil, Englished by Robert Andrews.
Language: English . Published: Birmingham. Date of publication: 1766. Format: 8vo.
Number of borrowings: 24
ESTC: T139446
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Works of Virgil
Borrowed: 1772/2/19 (Wednesday). Returned: 1772/3/3 (Tuesday).
Borrower: Maurice West
Author: Virgil (Male, born BCE70-10-15, died BCE19-9-21), Genre: Poetry
Record ID 179844
Andrew's Virgil
Borrowed: 1772/4/3 (Friday). Returned: 1772/5/13 (Wednesday). Classmark: P4 .20. Original Returned Text: Andrews Virgil.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
The works of Virgil, Englished by Robert Andrews.
Classmark: P.4.20, P.3.24.
Confidence level: Certain
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Works of Virgil, Englished by Robert Andrews.
Language: English . Published: Birmingham. Date of publication: 1766. Format: 8vo.
Number of borrowings: 24
ESTC: T139446
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Works of Virgil
Borrowed: 1772/4/3 (Friday). Returned: 1772/5/13 (Wednesday).
Borrower: Maurice West
Author: Virgil (Male, born BCE70-10-15, died BCE19-9-21), Genre: Poetry
Record ID 179847
Martin's Virgil Geor.
Borrowed: 1772/4/10 (Friday). Returned: 1772/5/16 (Saturday). Classmark: B5 . 12. Original Returned Text: Martin's Virgil Geor..
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Publii Virgilii Maronis Georgicorum Libri Quatuor. The Georgicks of Virgil, with an English Translation and Notes. By John Martyn, F. R. S. Professor of Botany in the University of Cambridge.
Classmark: K.5.30, B.5.12.
Confidence level: Certain
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Publii Virgilii Maronis Georgicorum Libri Quatuor. The Georgicks of Virgil, with an English Translation and Notes. By John Martyn, F. R. S. Professor of Botany in the University of Cambridge.
Language: Latin | English . Published: London. Date of publication: 1746. Format: 8vo.
Translators: Martyn, John, 1699-1768.
Number of borrowings: 28
ESTC: T67045
Virgil (Male, born BCE70-10-15, died BCE19-9-21)
Genre: Poetry
Georgics of Virgil
Borrowed: 1772/4/10 (Friday). Returned: 1772/5/16 (Saturday).
Borrower: Maurice West
Author: Virgil (Male, born BCE70-10-15, died BCE19-9-21), Genre: Poetry
Record ID 179850
Cockin's Airthmetic
Borrowed: 1772/5/15 (Friday). Returned: 1772/6/17 (Wednesday). Classmark: P5 . 5. Original Returned Text: Cocking's Airthmetic.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
William Cockin (Male, born 1736, died 1801)
Genre: Mathematics
A rational and practical treatise of arithmetic (in two parts.) Containing All that is necessary to be known in this art, in order to qualify a young person for trade, or an intended course of the mathematics. The whole Attempted in an easy, methodical, and consistent manner, and equally adapted to assist persons engaged in teaching, and the instruction of those, who have not the advantage of a master. To which is added, in the manner of Notes, The reason and demonstration of every rule and operation, as they occur, on principles either purely arithmetical, or such as will easily be comprehended by a beginner. By W. Cockin, Writing-Master and Accomptant, at the Free-School in Lancaster.
Classmark: P.5.5.
Confidence level: Certain
William Cockin (Male, born 1736, died 1801)
Genre: Mathematics
A rational and practical treatise of arithmetic (in two parts.) Containing All that is necessary to be known in this art, in order to qualify a young person for trade, or an intended course of the mathematics. The whole Attempted in an easy, methodical, and consistent manner, and equally adapted to assist persons engaged in teaching, and the instruction of those, who have not the advantage of a master. To which is added, in the manner of Notes, The reason and demonstration of every rule and operation, as they occur, on principles either purely arithmetical, or such as will easily be comprehended by a beginner. By W. Cockin, Writing-Master and Accomptant, at the Free-School in Lancaster.
Language: English . Published: London. Date of publication: 1766. Format: 8vo.
Number of borrowings: 11
ESTC: T113875
William Cockin (Male, born 1736, died 1801)
Genre: Mathematics
Rational and Practical Treatise of Arithmetic
Borrowed: 1772/5/15 (Friday). Returned: 1772/6/17 (Wednesday).
Borrower: Maurice West
Author: William Cockin (Male, born 1736, died 1801), Genre: Mathematics
Record ID 179853
Clark's Justin
Borrowed: 1772/5/16 (Saturday). Returned: 1772/6/17 (Wednesday). Classmark: O6. 25. Original Returned Text: Clark's Justin.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Marcus Junianus Justinus (Male)
Genre: History
Justini Historiæ Philippicæ. Cum versione anglica, ad verbum, quantum fieri potuit, facta. = Or, the history of Justin. With an English translation, as literal as possible. By John Clarke, ...
Classmark: E.6.18, O.6.25.
Confidence level: Likely
Marcus Junianus Justinus (Male)
Genre: History
Justini Historiæ Philippicæ. Cum versione anglica, ad verbum, quantum fieri potuit, facta. = Or, the history of Justin. With an English translation, as literal as possible. By John Clarke, ...
Language: Latin | English . Published: London. Date of publication: 1732. Format: 8vo.
Translators: John Clarke
Number of borrowings: 17
ESTC: T146973
Marcus Junianus Justinus (Male)
Genre: History
Justini Historiae Philippicae. Cum Versione Anglica ... Or, the History of Justin. With an English Translation
Borrowed: 1772/5/16 (Saturday). Returned: 1772/6/17 (Wednesday).
Borrower: Maurice West
Author: Marcus Junianus Justinus (Male), Genre: History
Record ID 179856
Langly's prac- Geo.
Borrowed: 1772/6/24 (Wednesday). Returned: 1772/7/8 (Wednesday). Classmark: A3. 16. Original Returned Text: Langly's prac- Geo ..
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Batty Langley (Male, born 1696, died 1751)
Genre: Mathematics, Genre: Practical Arts/Useful Knowledge
Practical geometry applied to the useful arts of building, surveying, gardening and mensuration; calculated for the service of gentlemen as well as artisans, and set to view in four parts. Containing, I. Preliminaries or the foundations of the several arts above-mentioned. II. The various orders of architecture, laid down and improved from the best masters; with the ways of making draughts of buildings, gardens, groves, fountains, &c. the laying down of maps, cities, lordships, farms, &c. III. The doctrine and rules of mensuration of all kinds, illustrated by select examples in building, gardening, timber, &c. IV. Exact tables of mensuration, shewing, by inspection, the superficial and solid contents of all kinds of bodies, without the fatigue of arithmetical computation: to which is annexed, an account of the clandestine practice now generally obtaining in mensuration, and particularly the damage sustained in selling timber by measure. The whole exemplifi'd with above 60 folio copper plates, by the best hands. By Batty Langley. D.M.S.
Classmark: A.3.18, A.3.16.
Confidence level: Certain
Batty Langley (Male, born 1696, died 1751)
Genre: Mathematics, Genre: Practical Arts/Useful Knowledge
Practical geometry applied to the useful arts of building, surveying, gardening and mensuration; calculated for the service of gentlemen as well as artisans, and set to view in four parts. Containing, I. Preliminaries or the foundations of the several arts above-mentioned. II. The various orders of architecture, laid down and improved from the best masters; with the ways of making draughts of buildings, gardens, groves, fountains, &c. the laying down of maps, cities, lordships, farms, &c. III. The doctrine and rules of mensuration of all kinds, illustrated by select examples in building, gardening, timber, &c. IV. Exact tables of mensuration, shewing, by inspection, the superficial and solid contents of all kinds of bodies, without the fatigue of arithmetical computation: to which is annexed, an account of the clandestine practice now generally obtaining in mensuration, and particularly the damage sustained in selling timber by measure. The whole exemplifi'd with above 60 folio copper plates, by the best hands. By Batty Langley. D.M.S.
Language: English . Published: London. Date of publication: 1726. Format: folio.
Number of borrowings: 11
ESTC: T11863
Batty Langley (Male, born 1696, died 1751)
Genre: Mathematics, Genre: Practical Arts/Useful Knowledge
Practical Geometry Applied to the Useful Arts of Building, Surveying, Gardening and Mensuration
Borrowed: 1772/6/24 (Wednesday). Returned: 1772/7/8 (Wednesday).
Borrower: Maurice West
Author: Batty Langley (Male, born 1696, died 1751), Genre: Mathematics, Genre: Practical Arts/Useful Knowledge
Practical Geometry Applied to the Useful Arts of Building, Surveying, Gardening and Mensuration
Record ID 179859
Dodson's repository
Borrowed: 1772/7/29 (Wednesday). Returned: 1772/8/19 (Wednesday). Classmark: P6. 55. Original Returned Text: Dodson's repository.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
James Dodson (Male, died 1757)
Genre: Mathematics
The mathematical repository. Containing Analytical Solutions of five hundred Questions, mostly selected from Scarce and Valuable authors. Designed to conduct Beginners to the more difficult Properties of Numbers. By James Dodson, Accomptant, and Teacher of the Mathematics.
Classmark: K.8.6, P.6.55, O.9.5.
Confidence level: Certain
James Dodson (Male, died 1757)
Genre: Mathematics
The mathematical repository. Containing Analytical Solutions of five hundred Questions, mostly selected from Scarce and Valuable authors. Designed to conduct Beginners to the more difficult Properties of Numbers. By James Dodson, Accomptant, and Teacher of the Mathematics.
Language: English . Published: London. Date of publication: 1748. Format: 12mo.
Number of borrowings: Volumes associated with this edition were borrowed 44 times in 38 borrowing records
ESTC: T96494
James Dodson (Male, died 1757)
Genre: Mathematics
Mathematical Repository. Containing Analytical Solutions of Five Hundred Questions
Borrowed: 1772/7/29 (Wednesday). Returned: 1772/8/19 (Wednesday).
Borrower: Maurice West
Author: James Dodson (Male, died 1757), Genre: Mathematics
Mathematical Repository. Containing Analytical Solutions of Five Hundred Questions
Record ID 179862
Gordon's Uni. Accomp. 1 & 2 Vol
Borrowed: 1772/8/5 (Wednesday). Returned: 1772/10/14 (Wednesday). Classmark: N6.23. Original Returned Text: Gordon U . accomp. 1&2 V..
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
William Gordon (Male)
Genre: Practical Arts/Useful Knowledge
The universal accountant and complete merchant. In two volumes. By William Gordon, of the Academy, Glasgow. ...
Classmark: N.6.23.
Volumes borrowed: Volume 1, Volume 2
Confidence level: Likely
William Gordon (Male)
Genre: Practical Arts/Useful Knowledge
The universal accountant and complete merchant. In two volumes. By William Gordon, of the Academy, Glasgow. ...
Language: English . Published: Edinburgh. Date of publication: 1763-1765. Format: 8vo.
Number of borrowings: Volumes associated with this edition were borrowed 19 times in 11 borrowing records
ESTC: T114186
William Gordon (Male)
Genre: Practical Arts/Useful Knowledge
Universal Accountant and Complete Merchant
Borrowed: 1772/8/5 (Wednesday). Returned: 1772/10/14 (Wednesday).
Borrower: Maurice West
Author: William Gordon (Male), Genre: Practical Arts/Useful Knowledge
Universal Accountant and Complete Merchant
Volumes borrowed: Volume 1, Volume 2
Record ID 179865
Malcolm's Airthmetic
Borrowed: 1772/8/19 (Wednesday). Returned: 1772/9/30 (Wednesday). Classmark: N4 . 37. Original Returned Text: Malcolms Airthmetic.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
Alexander Malcolm (Male, born 1685, died 1763)
Genre: Mathematics
A New System of Arithmetick, Theorical and Practical. Wherein The Science of Numbers is Demonstrated In a Regular Course from its First Principles, thro' all the Parts and Branches thereof; Either known to the Ancients, or owing to the Improvements of the Moderns. The Practice and Application to the Affairs of Life and Commerce being also Fully Explained: So as to make the Whole a Complete System of Theory, For the Purposes of Men of Science; And of Practice, for Men of Business. By Alexander Malcolm, A.M. Teacher of the Mathematicks at Aberdeen.
Classmark: F.5.31, N.4.37.
Confidence level: Certain
Alexander Malcolm (Male, born 1685, died 1763)
Genre: Mathematics
A New System of Arithmetick, Theorical and Practical. Wherein The Science of Numbers is Demonstrated In a Regular Course from its First Principles, thro' all the Parts and Branches thereof; Either known to the Ancients, or owing to the Improvements of the Moderns. The Practice and Application to the Affairs of Life and Commerce being also Fully Explained: So as to make the Whole a Complete System of Theory, For the Purposes of Men of Science; And of Practice, for Men of Business. By Alexander Malcolm, A.M. Teacher of the Mathematicks at Aberdeen.
Language: English . Published: London. Date of publication: 1730. Format: 4to.
Number of borrowings: 8
ESTC: T100675
Alexander Malcolm (Male, born 1685, died 1763)
Genre: Mathematics
New System of Arithmetick, Theorical and Practical [Alexander Malcolm]
Borrowed: 1772/8/19 (Wednesday). Returned: 1772/9/30 (Wednesday).
Borrower: Maurice West
Author: Alexander Malcolm (Male, born 1685, died 1763), Genre: Mathematics
New System of Arithmetick, Theorical and Practical [Alexander Malcolm]
Record ID 179868
Vieta's Works
Borrowed: 1772/9/30 (Wednesday). Returned: 1772/9/30 (Wednesday). Classmark: K- .. Original Returned Text: Vieta's Works.
Maurice West
Gender: Male.
Occupation (normalised): Education > University Student.
François Vietè (Male, born 1540, died 1603)
Genre: Mathematics
F. Vietæ Opera mathematica ... recognita opera atque studio F. a Schooten.
Classmark: K.3.21.
Confidence level: Certain
François Vietè (Male, born 1540, died 1603)
Genre: Mathematics
F. Vietæ Opera mathematica ... recognita opera atque studio F. a Schooten.
Language: Latin . Published: Leiden. Date of publication: 1646. Format: folio.
Editors: Schooten, Frans van, 1615-1660.
Number of borrowings: 5
François Vietè (Male, born 1540, died 1603)
Genre: Mathematics
Opera Mathematica [François Vietè]
Borrowed: 1772/9/30 (Wednesday). Returned: 1772/9/30 (Wednesday).
Borrower: Maurice West
Author: François Vietè (Male, born 1540, died 1603), Genre: Mathematics