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Euclidean coordinate arithmetic — not GD&T acceptance

2D Coordinate-Deviation Geometry Check

Calculate signed X/Y offsets,radial offset,twice-radial diametral geometry and direction from documented two-dimensional coordinates. The result does not generate or interpret a feature-control frame.

r=hypot(Δx,Δy)D=2rNo ISO/ASME conformance decision

Required interpretation boundary: coordinates must already be expressed in the correct documented frame and use the same unit. This tool does not establish or simulate datums,extract a feature,apply MMR/LMR,projected/composite/profile requirements,uncertainty or any drawing default. D=2r is labelled a diametral geometry result only; it is not automatically a tolerance-zone result.

2D geometry result

Signed Δx
Signed Δy
Radial coordinate offset r
Diametral geometry D=2r
Direction from +X,CCW
Radial offset normalized
Diametral geometry normalized

Implemented arithmetic

Δx=xmeasured−xbasic
Δy=ymeasured−ybasic
r=√(Δx²+Δy²)=hypot(Δx,Δy)
D=2r
θ=atan2(Δy,Δx),normalized to0°≤θ<360°

OpenStax University Physics,Volume1 §2.2 gives vector magnitude √(x²+y²) and the direction-angle relationship. Unit conversions are exact:1in=25.4mm and1µm=0.001mm. D is simply twice the Euclidean radius; no standards-based meaning is inferred.

ISO GPS scope checked

ISO1101:2017,edition4,current/confirmed2022 defines the symbol language and interpretation rules for geometrical specification. ISO5459:2024,edition3 covers datums and datum systems and explicitly excludes verification operators. ISO2692:2021,edition4 defines MMR/LMR/RPR and limits their application to specified linear features of size;it is under systematic review in2026.

Do not mix standards

ASME Y14.5-2018(R2024) separately establishes ASME symbols,rules,definitions,requirements and defaults. ISO GPS and ASME callouts are not interchangeable. Their full texts are licensed;the former generic FCF generator,symbol table,modifier choices and inspection prescriptions were removed rather than reconstructed by guesswork.

No conformance decision

A valid geometrical conformance assessment can require datum establishment,feature association,zone modifiers,material requirements,filters,measurement strategy and uncertainty. Compare this arithmetic with a drawing only after those operations are defined and executed under the exact governing edition and contract.

©2024–2026 Vibromera

Euclidean coordinate arithmetic only,not a GD&T callout generator or conformance calculation. Scientific review:July2026.

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Nikolai Shelkovenko

Nikolai Shelkovenko

Nikolai Shelkovenko is a vibration analysis engineer and the founder and CEO of Vibromera. For more than 15 years he has balanced rotating equipment in the field rather than on a test bench: mulchers, industrial fans, crushers, centrifuges, shafts and spindles. That work is what the Balanset instruments grew out of — they were designed as a tool a specialist can carry to the machine and use alone, on site, not as laboratory equipment. Vibromera was founded in 2017 and has been based in Porto, Portugal, since 2023. Development, assembly and support of the Balanset line all happen here. The flagship instrument is the Balanset-1A, a portable analyser for single- and two-plane balancing and for vibration diagnostics. Nikolai is personally involved in customer support, in working through difficult balancing cases and in the development of the software. He works with customers worldwide, in any language.

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