Hero's formulan.

Brit.

/ˈhɪərəʊz ˌfɔːmjᵿlə/, U.S.

/ˈhɪroʊz ˌfɔrmjələ/,

/ˈhiroʊz ˌfɔrmjələ/

Forms: 1800s– Hero's formula, 1900s– Heron's formula.

Origin: From proper name. Etymon: proper name Hero.

Etymology: < the genitive of the name of Hero (also Heron) of Alexandria (fl. c a.d. 60), scientist and engineer, who described the formula. Compare French formule d'Héron (1883 or earlier), German Heronische Formel (1875 or earlier).The proof of the formula is given in Hero’s Metrica 1. 8.

Mathematics.

A formula giving the area of a triangle in terms of the lengths of its sides.For a triangle with sides of length a, b, and c, the area A = √s(s − a)(s − b)(s − c), where s = ½(a + b + c).

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > formula

binomial theorem1755

formula1794

Rankine's formula1868

proportionality1882

Hero's formula1886

Rutherford's law1913

Mellin transform1927

Langevin equation1943

1886 G. Chrystal Algebra I. iv. 81 Important in connection with Hero's formula for the area of a plane triangle.

1902 Amer. Math. Monthly 9 36 The first step is the usual geometric proof..of Heron's formula.

1958 Rotarian Aug. 52/3 The good scholar, the fellow who can slip through a derivation of Hero's Formula as easily as Red Grange side-stepped the defense, rarely gets the honors due him.

1998 F. N. Magill Dict. World Biogr. II. 182/1 Brahmagupta borrowed from Hero of Alexandria the formula for the triangular area, but he brilliantly extended Hero's formula to work with quadrilaterals that can be inscribed within circles.

2009 S. Strogatz Calculus of Friendship 160 The natural generalization of Hero's formula to quadrilaterals..actually does exist.

This is a new entry (OED Third Edition, March 2014; most recently modified version published online March 2022).

单词	heros formula
释义	Hero's formulan. Brit. /ˈhɪərəʊz ˌfɔːmjᵿlə/, U.S. /ˈhɪroʊz ˌfɔrmjələ/, /ˈhiroʊz ˌfɔrmjələ/ Forms: 1800s– Hero's formula, 1900s– Heron's formula. Origin: From proper name. Etymon: proper name Hero. Etymology: < the genitive of the name of Hero (also Heron) of Alexandria (fl. c a.d. 60), scientist and engineer, who described the formula. Compare French formule d'Héron (1883 or earlier), German Heronische Formel (1875 or earlier).The proof of the formula is given in Hero’s Metrica 1. 8. Mathematics. A formula giving the area of a triangle in terms of the lengths of its sides.For a triangle with sides of length a, b, and c, the area A = √s(s − a)(s − b)(s − c), where s = ½(a + b + c). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > formula binomial theorem1755 formula1794 Rankine's formula1868 proportionality1882 Hero's formula1886 Rutherford's law1913 Mellin transform1927 Langevin equation1943 1886 G. Chrystal Algebra I. iv. 81 Important in connection with Hero's formula for the area of a plane triangle. 1902 Amer. Math. Monthly 9 36 The first step is the usual geometric proof..of Heron's formula. 1958 Rotarian Aug. 52/3 The good scholar, the fellow who can slip through a derivation of Hero's Formula as easily as Red Grange side-stepped the defense, rarely gets the honors due him. 1998 F. N. Magill Dict. World Biogr. II. 182/1 Brahmagupta borrowed from Hero of Alexandria the formula for the triangular area, but he brilliantly extended Hero's formula to work with quadrilaterals that can be inscribed within circles. 2009 S. Strogatz Calculus of Friendship 160 The natural generalization of Hero's formula to quadrilaterals..actually does exist. This is a new entry (OED Third Edition, March 2014; most recently modified version published online March 2022). < n.1886
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