düzlemiyle

Düzlemiyle is a Turkish adverbial phrase used in technical and academic language to mean “with its plane” or “in its plane.” It is formed from the noun düzlem (plane) plus the possessive suffix -i, meaning “its plane,” and the instrumental suffix -yle, meaning “with.” The resulting expression marks the plane context or reference plane associated with a subject.

The phrase functions to indicate that a statement, operation, or relation is defined, considered, or performed relative to a specific plane. It is common in geometry, computer graphics, crystallography, physics, and other fields that deal with two- or three-dimensional representations, projections, and coordinate systems tied to a plane. In sentences, düzlemiyle often appears before or after the noun it modifies, sometimes with additional qualifiers: for example, a transformation associated with a plane, coordinates compatible with its plane, or calculations conducted within its plane.

Usage notes: düzlemiyle is a grammatical construction rather than a standalone technical term. It emphasizes the reference plane in analysis or description. While widely understood in mathematical and scientific Turkish, it is less common in everyday language and tends to appear in formal or scholarly texts. Alternatives that convey a similar idea include phrases like düzleminin bağlamında or düzleminin yöneldiği şekilde, but düzlemiyle remains the concise instrumental form.

Examples include: “Bu problem düzlemiyle ilişkili koordinat sisteminde çözülür,” “Düzlemiyle uyumlu koordinatlar kullanılarak projeksiyon hesaplandı,” and “Düzlemiyle olan dönüşüm, 3D objenin 2D plana projeksiyonunu sağlar.”