Napier's analogies

Summary

Napier's analogies is a theorem^[1]. It draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).^[2]

Key Facts

• Napier's analogies's instance of is recorded as theorem^[3].
• John Napier is named after Napier's analogies^[4].
• Napier's analogies's subclass of is recorded as formula^[5].
• Napier's analogies's different from is recorded as Формула пяти элементов (сферическая геометрия)^[6].
• Napier's analogies's statement describes is recorded as spherical triangle^[7].
• Napier's analogies's defining formula is recorded as \operatorname{tg}\frac{\alpha+\beta}{2}= \frac{\cos\frac{a-b}{2}}{\cos\frac{a+b}{2}}\cdot\operatorname{ctg}\frac{\gamma}{2}^[8].
• Napier's analogies's defining formula is recorded as \operatorname{tg}\frac{\alpha-\beta}{2}= \frac{\sin\frac{a-b}{2}}{\sin\frac{a+b}{2}}\cdot\operatorname{ctg}\frac{\gamma}{2}^[9].
• Napier's analogies's defining formula is recorded as \operatorname{tg} \frac{a+b}{2}= \frac{\cos\frac{\alpha-\beta}{2}}{\cos\frac{\alpha+\beta}{2}}\cdot\operatorname{tg}\frac{c}{2}^[10].
• Napier's analogies's defining formula is recorded as \operatorname{tg} \frac{a-b}{2}= \frac{\sin\frac{\alpha-\beta}{2}}{\sin\frac{\alpha+\beta}{2}}\cdot\operatorname{tg}\frac{c}{2}^[11].
• Napier's analogies's studied by is recorded as spherical geometry^[12].
• Napier's analogies's studied by is recorded as spherical trigonometry^[13].
• Napier's analogies's Google Knowledge Graph ID is recorded as /g/120myt3r^[14].
• Napier's analogies's MathWorld ID is recorded as NapiersAnalogies^[15].
• Napier's analogies's maintained by WikiProject is recorded as WikiProject Mathematics^[16].
• Napier's analogies's ProofWiki ID is recorded as Napier's_Analogies^[17].
• Napier's analogies's Lex ID is recorded as Napiers_formler^[18].

Why It Matters

Napier's analogies draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).^[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.^[19]