Ortogonale vs. perpendicolare
The Italian words 'ortogonale' and 'perpendicolare' both relate to geometric concepts, but they have subtle differences in usage and context.
Ortogonale
'Ortogonale' refers to objects or lines that are at right angles (90 degrees) to each other, often used in mathematical and technical contexts.
In geometria, due vettori sono ortogonali se il loro prodotto scalare è zero.
(In geometry, two vectors are orthogonal if their dot product is zero.)
Le coordinate cartesiane formano un sistema ortogonale.
(Cartesian coordinates form an orthogonal system.)
Perpendicolare
'Perpendicolare' describes lines or objects that intersect at right angles (90 degrees), commonly used in everyday language and basic geometry.
La torre di Pisa non è perpendicolare al suolo.
(The Leaning Tower of Pisa is not perpendicular to the ground.)
Traccia una linea perpendicolare alla base del triangolo.
(Draw a line perpendicular to the base of the triangle.)
Summary
While 'ortogonale' and 'perpendicolare' both describe right-angled relationships, 'ortogonale' is more commonly used in technical and mathematical contexts, while 'perpendicolare' is more frequently used in everyday language and basic geometry. 'Ortogonale' often implies a system or set of coordinates, whereas 'perpendicolare' typically refers to the relationship between two lines or objects.