The phrase "a geometry of his" is correct and usable in written English.
It can be used to describe a specific way of understanding or conceptualizing geometry that belongs to or is characteristic of a particular person.
Example: "In his latest book, the author presents a geometry of his that challenges traditional notions and invites readers to explore new dimensions."
Alternatives: "his own geometry" or "a geometry unique to him".
Some, however, achieve a superior level of performance without help or even in spite of adversity Blaise Pascal, for example, constructed a geometry of his own, although his father deprived him of mathematical books at the age of 11.
"Really, universally, relations stop nowhere," Henry James would write, 40 years later, in his preface to the New York Edition of his early novel Roderick Hudson, "and the exquisite problem of the artist is eternally but to draw, by a geometry of his own, the circle within which they shall happily appear to do so".
His book A Geometry of Music (Oxford) has been described as "a tour de force" (The Times Literary Supplement), a "monumental achievement" (Music Theory Online), and, potentially, a modern analogue to Schoenberg's Harmonielehre (The Musical Times).
An American is a complex of occasions, themselves a geometry of spatial nature.
All the acts, he continued, share a "geometry of classic-style songwriting".
(a) Geometry of radar configuration.
In three essays accompanying the Discourse, he illustrated his method for utilizing reason in the search for truth in the sciences: in Dioptrics he derived the law of refraction, in Meteorology he explained the rainbow, and in Geometry he gave an exposition of his analytic geometry.
Fuller's domes are a product of his geometry of vectors, their prodigious strength arising from a patented formula that combines interlocking tetrahedrons and icosahedrons so as to balance the forces of tension and compression and thus distribute stresses evenly throughout the structure.
Feuilles d'analyse appliquée à la géométrie (1801; "Analysis Applied to Geometry") was an expanded version of his lectures on differential geometry; a later edition incorporated his Application de l'algèbre à la géométrie (1805; "Applications of Algebra to Geometry") as Application de l'analyse à la géométrie (1807; "Applications of Analysis to Geometry").
Piero's fascination with geometry and mathematics is a corollary of his own art; his manner of theoretical expression owes much to his mentor Alberti and is analogous to that of his younger contemporary Leonardo da Vinci; the rigour and logic of the arguments, however, are unique to Piero.
A precise geometry of painted or incised lines ornaments many of the larger pots.
