U Vikipediyi ye statti pro inshi znachennya cogo termina Troyanda znachennya Troyanda ploska kriva sho nagaduye simvolichne zobrazhennya kvitki Dana kriva opisuyetsya rivnyannyam v polyarnij sistemi koordinat u viglyadiZagalnij viglyad polyarnoyi troyandi pri riznih znachennyah kr a sin k f displaystyle rho a sin k varphi Tut a displaystyle a i k displaystyle k stali sho viznachayut rozmir a i kilkist pelyustok k danoyi troyandi Vsya kriva roztashovuyetsya vseredini kola radiusa a displaystyle a i v razi k gt 1 displaystyle k gt 1 skladayetsya z odnakovih za formoyu ta rozmirom pelyustok Dlya cilogo k displaystyle k chislo pelyustok rivne k displaystyle k yaksho k displaystyle k neparne i 2 k displaystyle 2k yaksho parne Dlya drobovogo k displaystyle k vidu k m n displaystyle k frac m n de m displaystyle m i n displaystyle n vzayemno prosti kilkist pelyustok troyandi rivne m displaystyle m yaksho obidva chisla neparni i 2 m displaystyle 2m yaksho b hocha b odne parne Pri k displaystyle k irracionalnomu pelyustok neskinchenno bagato Pri znachennyah k gt 1 displaystyle k gt 1 troyanda ye gipotrohoyidoyu a pri k lt 1 displaystyle k lt 1 epitrohoyidoyu Dzherela RedaguvatiWeisstein Eric W Troyanda z MathWorld Aplet dlya stvorennya troyand z parametrom k Otrimano z https uk wikipedia org w index php title Troyanda ploska kriva amp oldid 36557061
