Kulolu shicilelo, sizocubungula izici eziyinhloko zepholigoni evamile mayelana nama-engeli ayo angaphakathi (okuhlanganisa nesamba sawo), inani lama-diagonal, isikhungo sendilinga esokiwe nebhaliwe. Amafomula okuthola amanani ayisisekelo (indawo kanye nomjikelezo wesibalo, i-radii yemibuthano) nawo ayacatshangelwa.
Qaphela: sihlole incazelo yepholigoni evamile, izici zayo, izakhi eziyinhloko nezinhlobo zayo.
Izakhiwo ze-polygon evamile
Impahla 1
Ama-engeli angaphakathi kupholigoni evamile (α) ziyalingana futhi zingabalwa ngefomula:
lapho n inombolo yezinhlangothi zesibalo.
Impahla 2
Isamba sawo wonke ama-engeli we-n-gon ejwayelekile yile: 180° · (n-2).
Impahla 3
inombolo diagonals (Dn) i-n-gon evamile incike enanini lezinhlangothi zayo (n) futhi ichazwa kanje:
Impahla 4
Kunoma iyiphi ipholigoni evamile, ungabhala umbuthano bese uchaza indilinga ewuzungezile, futhi izikhungo zawo zizoqondana, okuhlanganisa nendawo emaphakathi yepholigoni ngokwayo.
Njengesibonelo, isibalo esingezansi sibonisa ihexagon evamile (iheksagoni) egxile endaweni ethile O.
Indawo (S) ezakhiwe yizindilinga iringi ibalwa ngokusebenzisa ubude ohlangothini (a) izibalo ngokwefomula:
Phakathi kwe-radii yokubhaliwe (r) futhi kuchazwe (R) imibuthano kukhona ukuncika:
Impahla 5
Ukwazi ubude bohlangothi (a) ipholigoni evamile, ungakwazi ukubala amanani alandelayo ahlobene nayo:
1. Indawo (S):
2. Ipherimitha (P):
3. I-Radius yendilinga ezuziwe (R):
4. I-Radius yendilinga eqoshiwe (r):
Impahla 6
Indawo (S) ipholigoni evamile ingavezwa ngokobubanzi bomjikelezo osokiwe/obhaliwe: