isosceles
See also: isósceles
English
    

An isosceles triangle.

An isosceles trapezoid.
Etymology
    
Borrowed from Latin īsoscelēs, from Ancient Greek ἰσοσκελής (isoskelḗs, “equal-legged”), from ἴσος (ísos, “equal”) + σκέλος (skélos, “leg”) + -ής (-ḗs, adjective suffix).
Pronunciation
    
- IPA(key): /aɪˈsɒsəliːz/
- Audio (Southern England) - (file) 
Adjective
    
isosceles (not comparable)
- (geometry) Having (at least) two sides of equal length, used especially of a triangle or trapezoid.
- 1693, Abel Swall, transl., The New Method of Fortification, as Practised by Monsieur de Vavban, Engineer General of France, 2nd edition, "A New Treatise of Fortification", page 96:- Upon each exterior side draw an Isosceles Triangle of 480 Fathoms.
 
- 1914, Henry Parker Manning, Geometry of Four Dimensions, page 204:- A right double pyramid is isosceles when the extremities of the vertex-edge are at the same distance from the plane of the base.
 
- 1945, Harold E. Wolfe, Introduction to Non-Euclidean Geometry, page 31:- To prepare for the application of his method, Saccheri made use of a figure with which we are already acquainted. This is the isosceles quadrilateral with the two base angles right angles.
 
 
Usage notes
    
- A trapezoid with two equal sides and two unequal sides is normally described as unequilateral, even though it can be regarded as a special case of isosceles trapezoid.
- A triangle with three equal sides is normally described as equilateral, even though it can be regarded as a special case of isosceles triangle.
Derived terms
    
Translations
    
having two sides of equal length, used especially of an isosceles triangle or trapezoid
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Further reading
    
 Isosceles trapezoid on  Wikipedia.Wikipedia Isosceles trapezoid on  Wikipedia.Wikipedia
 Isosceles triangle on  Wikipedia.Wikipedia Isosceles triangle on  Wikipedia.Wikipedia
 Isosceles (disambiguation) on  Wikipedia.Wikipedia Isosceles (disambiguation) on  Wikipedia.Wikipedia
Anagrams
    
Latin
    
    Etymology
    
Borrowed from Ancient Greek ἰσοσκελής (isoskelḗs), from ἴσος (ísos, “equal”) + σκέλος (skélos, “leg”) + -ής (-ḗs, adjective suffix).
Pronunciation
    
- (īsoscelēs): (Classical) IPA(key): /iːˈsos.ke.leːs/, [iːˈs̠ɔs̠kɛɫ̪eːs̠]
- (modern Italianate Ecclesiastical) IPA(key): /iˈsoʃ.ʃe.les/, [iˈs̬ɔʃːeles]
- (īsosceles): (Classical) IPA(key): /iːˈsos.ke.les/, [iːˈs̠ɔs̠kɛɫ̪ɛs̠]
- (modern Italianate Ecclesiastical) IPA(key): /iˈsoʃ.ʃe.les/, [iˈs̬ɔʃːeles]
Adjective
    
īsoscelēs (genitive īsoscelis); third-declension one-termination adjective
Declension
    
Third-declension one-termination adjective (Greek-type).
| Number | Singular | Plural | |||
|---|---|---|---|---|---|
| Case / Gender | Masc./Fem. | Neuter | Masc./Fem. | Neuter | |
| Nominative | īsoscelēs | īsosceles1 īsoscelēs | īsoscelēs | īsoscelia | |
| Genitive | īsoscelis | īsoscelium | |||
| Dative | īsoscelī | īsoscelibus | |||
| Accusative | īsoscelem | īsosceles1 īsoscelēs | īsoscelēs | īsoscelia | |
| Ablative | īsoscelī | īsoscelibus | |||
| Vocative | īsosceles1 īsoscelēs | īsoscelēs | īsoscelia | ||
1It is unknown if Classical Latin preserved (or would have preserved) the shortness of the original Greek short ending. Notes:
- The Greek masculine and feminine nominative singular is ἰσοσκελής (isoskelḗs), while the masculine and feminine vocative singular and the neuter nominative, accusative and vocative singular are ἰσοσκελές (isoskelés). Maybe Latin preserved the short length of the epsilon (ε), or maybe it did not so that the declension became similar to Latin third declension adjectives of one ending (like felix).
- This word is often used together with triangulum n and rarer with triangulus m.
References
    
- “īsoscĕles”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
- īsoscĕlēs in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette, page 860/3.
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