ܫܠܡܐ — ܬܐܘܪܝܐ ܕܒܝܥܬܐ ܩܘܣܡܝܬܐ

ܢܡܘܣܐ ܫܪܪܝܐ

ܒܠܒܐ ܕܬܐܘܪܝܐ ܕܒܝܥܬܐ ܩܘܣܡܝܬܐ ܐܝܬ ܥܒܕܐ ܚܕ: ܚܕ ܦܠܝܓ ܥܠ ܬܪ̈ܝܢ. ܚܕ ܡܕܡ ܗܘܐ ܬܪ̈ܝܢ ܡܕ̈ܡܝܢ, ܦܪ̈ܝܫܝܢ ܒܬܚܘܡܐ ܚܕ. ܙܒܢ-ܦܨܚܐ, ܫ̈ܩܝܦܐ, ܚ̈ܝܠܐ, ܘܡܢܝ̈ܢܐ ܩܒ̈ܝܥܐ ܕܟܝܢܐ — ܟܠܗܘܢ ܐܝܬܝܗܘܢ ܨܘܪܬܐ ܕܗܕܐ ܥܒܕܐ ܒܫ̈ܟܝܠܝ ܡܟܝܠܘܬܐ ܡܫܚ̈ܠܦܐ.

ܥܕܢܐ ܫܪܪܝܐ ܐܝܬܘܗܝ ܦܘܪܫܐ ܬܪܝܢܝܐ: ܡܐ ܕܫܘܠܛܢ ܣܦܝܪܬܐ ܒܛܝܠ, ܡܬܦܫܩ ܒܝܕ ܚܕܬܐ ܠ+1 ܘ−1 — ܬܪ̈ܝܢ ܐܕ̈ܪܣܐ ܡܢ ܢܘܩܙܐ ܚܕ, ܕܠܐ ܡܝܬܪܘܬܐ ܠܚܕ ܡܢܗܘܢ.

ܦܘܥܠܐ ܕܦܐܩܠܪ

ܒܟܠ ܦܢܝܬܐ ܒܘܥܕܝܬܐ ܕܫܠܫܠܬܐ ܬܪܝܢܝܬܐ, ܗܢܕܣܬܐ ܥܒܪܐ ܒܩܘܛܪܐ ܕܬܡܢ ܐܘܪܚܐ ܫܪܝܪܬܐ ܩܘܫܬܐ. ܩܘܛܪܐ ܗܘ ܒܟܠ ܙܒܢ ܙܥܘܪ ܡܢ ܩܘܫܬܐ. ܦܘܪܫܐ — ܦܘܪܫܐ ܕܦܐܩܠܪ — ܡܬܒܥܐ ܡܢܗ π ܠܡܚܫܒܗ ܒܫܩܝܦܘܬܐ, ܘܡܬܟܢܫ ܒܟܠ ܡܥܒܪܬܐ ܒܘܥܕܝܬܐ.

ܗܢܐ ܙܘܥܐ ܚܕ ܒܠܚܘܕ ܡܬܚܙܐ ܒܟܠ ܫܟܝܠ ܡܢ ܫ̈ܟܝܠܝ ܡܟܝܠܘܬܐ ܕܚܩܝܩܬܐ ܦܝܙܝܩܝܬܐ — ܡܢܝܢܐ ܩܒܝܥܐ ܕܒܢܝܬܐ ܡܠܛܦܬܐ, ܝܩ̈ܝܪܬܐ ܕܠܦܛ̈ܘܢܐ, ܫܠܫܠܬܐ ܩܘܣܡܝܬܐ — ܟܠܗܘܢ ܛܒ̈ܥܐ ܕܥܒܕܐ ܗܢܕܣܝܐ ܚܕ.

ܡܚܫܒܬܐ ܕܦܘܪܫܐ ܕܦܐܩܠܪ

s = R(θ − 2sin(θ/2))

ܒ θ = 2π/3 (ܦܢܝܬܐ ܪܒܝܥܝܬܐ ܒ Stella Octangula): s ≈ 0.1445R

ܦܐܪ̈ܐ ܕܠܐ ܡܢ̈ܝܢܐ ܚܐܪ̈ܐ

ܬܐܘܪܝܐ ܡܦܩܐ ܡܢ̈ܝܢܐ ܩܒ̈ܝܥܐ ܦܝܙ̈ܝܩܝܐ ܡܫ̈ܝܚܐ ܕܠܐ ܬܬܩܢ ܐܢܘܢ. ܡܦܩܢܐ ܫܠܝܡ ܩܕܡ ܟܠ ܩܒܠܬܐ ܥܡ ܝܘܠܦ̈ܢܐ ܣ̈ܘܟ̈ܝܐ. ܚܡ̈ܫܐ ܥܣܪ̈ ܦܐܪ̈ܐ ܡܫܪ̈ܪܐ, ܣܦܪ ܣܦ̈ܪܐ ܚܐܪ̈ܐ.

ܡܢܝܢܐ ܩܒܝܥܐ ܕܒܢܝܬܐ ܡܠܛܦܬܐ — ܡܦܩ ܗܢܕܣܐܝܬ

α⁻¹ = (9/2)π³ − √(2π) + 4/(9π³) = 137.035999089

ܚܫܟܐ ܡܢ CODATA: 5×10⁻⁹ — ܓܘ ܫܘܟܢܐ ܕܡܫܚܬܐ. ܬܠܬ ܡܣ̈ܝܡܝ ܦܘܥܠܐ ܕܦܐܩܠܪ, ܕܠܐ ܡܢ̈ܝܢܐ ܚܐܪ̈ܐ.

ܥܕܢܐ ܕܫܠܫܠܬܐ ܒܙܒܢ ܗܢܐ — ܬܠܬ-ܫܘܝܘܬܐ

n_now = 159.1208

ܡܬܦܪܫ ܡܢ ܬܠܬܐ ܕܪ̈ܥܐ ܕܫܠܫܠܬܐ ܒܬܫܥ ܕܪ̈ܓܐ ܕܡܫܚܬܐ, ܒܫܘܝܘܬܐ ܕ0.004%.

ܦܬܚ ܬܐܘܪܝܐ

ܐܬܪܐ ܗܢܐ ܝܗܒ ܦ̈ܬܚܐ ܡܠܝ̈ܐ ܕܦܘܫܩܐ, ܡܡ̈ܠܐ ܕܝܘܠܦܢܐ ܥܡ ܡܦ̈ܩܢܐ ܡܦܫ̈ܩܐ, ܩܡܘܣܐ ܕܦܬܓ̈ܡܐ ܓܘ̈ܝܐ, ܘܫܘ̈ܚܠܦܐ ܗܐ ܩܝܡ̈ܝܢ. ܟܠܗ ܬܘܟܠܢܐ ܒܠܫܢܐ ܐܢܓܠܝܐ — ܐܬܩܢ ܬܘܪܓܡܐ ܕܡܣܝܪܐ ܒܕܦܢܐ ܠܡܩܪܐ ܒܠܫܢܐ ܕܒܥܝܬ.

← ܐܬܪܐ ܪܝܫܝܐ ← ܡܡ̈ܠܐ ܘܡܦ̈ܩܢܐ ← ܦܐܪ̈ܐ ܕܠܐ ܡܢ̈ܝܢܐ ܚܐܪ̈ܐ ← ܩܡܘܣܐ