Scherffer - Institutionum Geometricarum - 1760-1761

DOMINATING SPACE: GEOMETRY AS A DISCIPLINE OF THE MIND AND A TOOL OF POWER
This detailed collection of Carlo Scherffer’s Institutionum Geometricarum represents one of the most refined examples of Jesuit mathematical handbooks of the 18th century, designed not only for teaching but for the rigorous intellectual formation of young scholars. Divided into several parts (Elementary Geometry, Plane Trigonometry, and Sections of Conics), the work renders the Euclidean tradition into a modern, systematic, and progressive didactic language. In the full bloom of the Enlightenment, yet still deeply rooted in the pedagogy of the Society of Jesus, it bears witness to the meeting of scientific rationalism and educational discipline, making geometry not only an exact science but an exercise in mental order and mastery of the real.
MARKET VALUE
Jesuit mathematical manuals of the 18th century, especially those in multiple parts and with engraved plates, generally fetch between 400 and 600 euros on the antiquarian market.

PHYSICAL DESCRIPTION AND CONDITION
Three volumes, bound in one volume. Contemporary half-leather binding, signs of wear. Red-speckled edges. Pages with some foxing and browning; presence of a library stamp on the title page. Plates folded multiple times. In old books, with a multi-century history, some imperfections may be present, not always noted in the description. Pp. (2); 142; 2nn; 120; 4nn; 102; 4nn; (2).

FULL TITLE AND AUTHOR
Institutionum Geometricarum.
Pars Prima sive Geometria elementaris; Pars Secunda sive Trigonometria plana; Pars Tertia de lineis secundi ordinis sive de sectionibus conicis.
Conscripta in usum tironum a P. Carolo Scherffer, e Societate Jesu.
Vindobonae, typis Joannis Thomae Trattnern, 1760–1761.
Carlo Scherffer.

CONTEXT AND SIGNIFICANCE
The work situates itself within the great tradition of Jesuit scientific pedagogy, which between the 17th and 18th centuries constituted one of the main channels for the diffusion of mathematical knowledge in Europe. Scherffer builds a progressive path: from Euclidean elementary geometry, through applied trigonometry, to the study of conic sections, fundamental for astronomy, ballistics, and engineering. The clarity of exposition and the systematic use of plates render the text an advanced teaching tool, intended for students but also for technicians and scholars. In this sense, the volume reflects a crucial phase in the history of science: the transition from speculative to operational mathematics, applied and functional to the needs of the modern state and technical disciplines.

BIOGRAPHY OF THE AUTHOR
Carlo Scherffer (1716–1783), a Jesuit and Austrian mathematician, was a professor at the College of Vienna and author of numerous scientific treatises intended for teaching. His work sits within the educational tradition of the Society of Jesus, characterized by methodological rigor and attention to clarity of exposition. Scherffer contributed to the diffusion of modern mathematics in Central Europe, with particular emphasis on practical applications of geometry and trigonometry.

PRINTING HISTORY AND CIRCULATION
Printed in Vienna by Johann Thomas Trattner, one of the most important printers of the Habsburg Empire, the work reflects the high level of Vienna’s scientific production in the 18th century. The different parts were published between 1760 and 1761 and are often bound together, as in the present copy. Circulation was wide in academic contexts and in Jesuit colleges across Central Europe, contributing to the standardization of mathematical teaching.

BIBLIOGRAPHY AND REFERENCES
ICCU/OPAC SBN: records relating to Scherffer, Institutionum geometricarum (Vindobonae, Trattner, 1760–1761)
WorldCat: Scherffer, Carolus, Institutionum geometricarum, Vienna editions 1760–1761
Austrian National Library: catalog of Trattner editions of the 18th century
VD18 (Verzeichnis der im deutschen Sprachraum erschienenen Drucke des 18. Jahrhunderts): references to the Viennese editions of Scherffer
Studies on Jesuit mathematical pedagogy in the 18th century