id: 06606545
dt: a
an: 2016d.00906
au: Sánchez, Isabel María; González Astudillo, Maria Teresa
ti: Analytical geometry in {\it An elementary treatise on plane and spherical
trigonometry, and on the application of algebra to geometry} by S. F.
Lacroix.
so: Bjarnadóttir, Kristín (ed.) et al., “Dig where you stand" 3.
Proceedings of the third international conference on the history of
mathematics education, Uppsala University, Sweden, September 25‒28,
2013. Uppsala: Uppsala University, Department of Education (ISBN
978-91-506-2444-1). 361-375 (2015).
py: 2015
pu: Uppsala: Uppsala University, Department of Education
la: EN
cc: U20 G70
ut:
ci:
li:
ab: Summary: Although most mathematics history books present Lacroix
(1765‒1843) as a minor mathematician, he was to become recognized
both in his own time and in our own for his work as a writer of
mathematics textbooks. His importance lies in the way he presents the
contents in his textbooks: in an orderly, clear and concise way, from
the elementary to the most complex concepts, thus contributing to the
dissemination of mathematical knowledge. His works were used during a
large part of the nineteenth century, both in schools in France and in
a good part of the rest of Europe, particularly in Spain. One example
would be his {\it Tratado elemental de trigonometría aplicagion
rectilínea y esférica, y de la aplicación del álgebra á la
geometría} (An elementary treatise on plane and spherical
trigonometry, and on the application of algebra to geometry), used as a
textbook in Spanish secondary schools and universities for almost a
century. In this work, which is part of a dissertation’ on the study
of analytic geometry in Spain during the nineteenth century, we focus
on the way Lacroix deals with this part of the mathematics in this
book. It shows an analytic geometry typical of the nineteenth century
in Spain that preserves some elements from the geometry of Descartes
but it also includes elements from the algebraic geometry used
nowadays.
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