Geometry
in the Long Nineteenth Century.
Most material in Net Advance Retro
antedates 1920. It may be obsolete or incorrect.
 General: Introductory:
 General:

Leçons de mathématiques
donneées a l'École Normale en 1795
by Pierre Simon Laplace
[Journal de l'École Polytechnique , VII & VIII (1812)]

The First Six Books of Euclid's Elements, in Which
Coloured Diagrams and Symbols are Used Instead of Letters
for the Greater Ease of Learners
by Oliver Byrne
[London: Pickering, 1847]

Elementary Geometry: Congruent Figures
by Olaus Henrici
[London: Longmans, Green, 1879]

A Sequel to the First Six Books of the Elements of
Euclid, Containing an Easy Introduction to Modern
Geometry, with Numerous Examples
by John Casey
[Dublin: Hodges and Figgis, 1886]

The Elements of Geometry
by George Bruce Halsted
[London: Macmillan, 1886]

Elementary Synthetic Geometry
by George Bruce Halsted
[New York: Wiley, 1896]

Planimetry
by A. P. Kiselyov
[1892] 236 pp. In Russian. The Glagolev edition
of the famous geometry textbook,
slightly revised by N. Ershov et al.

Rational Geometry: A TextBook for the Science of Space
Based on Hilbert's Foundations
by George Bruce Halsted
[New York: Wiley, 1904]
 General: Philosophy:
 Types:
GEOMETRIC ALGEBRA;
VECTOR;
 Type: ANALYTIC:
 Type: CONSTRUCTIONS:
 Type: METRICAL:
 Type: NONEUCLIDEAN:
 Type: PROJECTIVE:

An Explanation of the Gnomonic Projection of the Sphere; and of
Such Points of Astronomy as are Most Necessary in the Use of
Astronomical Maps
by Augustus De Morgan
[London: Baldwin & Craddock, 1836]

An Elementary Treatise on Trilinear Coordinates,
the Method of Reciprocal Polars, and the Theory of Projections
by N. M. Ferrers
[Cambridge: Macmillan, 1866]

Geometrical Conic Sections: An Elementary Treatise, in Which
the Conic Sections are Defined as the Plane Sections of a Cone,
and Treated by the Method of Projections
by Rev. J. Stuart Jackson
[London: Macmillan, 1872]

Quaternions and Projective Geometry
by Charles Jasper Joly
[Phil. Trans. R.S.L. A201, 223 (1903)]

Synthetic Projective Geometry
by George Bruce Halsted
[New York: Wiley, 1906]
"Man, imprisoned in a little body with shortarm hands instead
of wings, created for his guidance a mole geometry, a tactile
space, codified by Euclid ... Yet man is no mole."
 Type: TRIANGULAR:

On a New Property of the Tangents of
Three Arches Trisecting the Circumference of a Circle
by Rev. Nevil Maskelyne
[Phil. Trans. R. S. L. 98, 122 (1808)]
"Arch" meaning "angle" and "tangent" meaning "tangent linesegment".

An Elementary Treatise on Trilinear Coordinates,
the Method of Reciprocal Polars, and the Theory of Projections
by Rev. N. M. Ferrers
[Cambridge: Macmillan, 1861]

A Treatise on Trilinear Coordinates, Intended
Chiefly for the Use of Junior Students
by C. J. C. Price
[Oxford: Henry and Parker, 1866]

Trilinear Coordinates and Other Methods
of Modern Analytical Geometry of Two Dimensions
by Rev. Wm. Allen Whitworth
[Cambridge: Deighton, Bell, 1866]

Notes on the Geometry of the Plane Triangle
by John Griffiths
[Oxford: Jas. Parker, 1867]

Tracts Relating to the Modern Higher Mathematics: Trilinear Coordinates
by Rev. W. J. Wright
[London: Hodgson, 1875]

A Treatise on the Analytical Geometry of the Point, Line,
Circle, and Conic Sections
by John Casey
[Dublin: Hodges and Figgis, 1885]

The Modern Geometry of the Triangle
by Wm. Gallatly
[London: Hodgson, 1910]
 Aspects: FOUNDATIONS:
 Aspects: MECHANICAL DEVICES:
 Aspects: CIRCLE SQUARING: