Adjective:

बहुफलकीय, बहुतलीय,

polyhedra शब्द के हिंदी अर्थ का उदाहरण:

ठोस ज्यामिति में पिरैमिड (pyramid) उस बहुफलकीय ठोस को कहते हैं जिसका आधार कोई बहुभुज हो तथा शेष सभी त्रिभुजाकार फलक एक बिन्दु (शीर्ष) पर मिलते हों।

पोप और बालों (1906 ई.) के विचार में ये बहुफलकीय इकाइयाँ प्रत्यास्थ (elastic), पर असंपीड्य (incompressible) और विरूपणीय (deformable) गोलों के संघनित समुच्चय से व्युत्पन्न हैं।

नगर के अन्य क्षेत्रों से अधिक ऊँचे और बड़े बहुतलीय भवन।

polyhedra's Usage Examples:

Incidentally Pappus describes the thirteen other polyhedra bounded by equilateral and equiangular but not similar polygons, discovered by Archimedes, and finds, by a method recalling that of Archimedes, the surface and volume of a sphere.

The module can be varied to produce a large number of related rhombic polyhedra and polyhedral combinations.

to describe a circle touching three given circles, which he discovered in 1805, his generalization of Euler's theorem on polyhedra in 1811, and in several other elegant problems. More important is his memoir on wave-propagation which obtained the Grand Prix of the Institut in 1816.

Mensuration of the Platonic Solids.-The mensuration of the regular polyhedra is readily investigated by the methods of elementary geometry, the property that these solids may be inscribed in and circumscribed to concentric spheres being especially useful.

Of lost works by Archimedes we can identify the following: (I) investigations on polyhedra mentioned by Pappus; (2) Archai, Principles, a book addressed to Zeuxippus and dealing with the naming of numbers on the system explained in the Sand Reckoner; (3) Peri zygon, On balances or levers; (4) Kentrobarika, On centres of gravity; (5) Katoptrika, an optical work from which Theon of Alexandria quotes a remark about refraction; (6) Ephodion, a Method, mentioned by Suidas; (7) Peri sphairopeoia, On Sphere-making, in which Archimedes explained the construction of the sphere which he made to imitate the motions of the sun, the moon and the five planets in the heavens.

rhombic polyhedra and polyhedral combinations.

The following table gives these constants for the regular polyhedra; n denotes the number of sides to a face, n 1 the number of faces to a vertex: - Archimedean Solids.

The general theory of polyhedra properly belongs to combinatorial analysis.

(4) On the inscribing of each of the five regular polyhedra in a sphere.

he shows how to inscribe the five regular polyhedra within it.

Synonyms:

concave polyhedron, dodecahedron, tetrahedron, prismatoid, regular polyhedron, octahedron, ideal solid, pyramid, hexahedron, Platonic solid, pentahedron, prism, decahedron, solid, convex polyhedron, regular convex polyhedron, Platonic body, regular convex solid, icosahedron, trapezohedron,

Antonyms:

heterogeneous, unwholesome, soft, liquid, gaseous,