Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/27112
ชื่อเรื่อง: Dividing the Perimeter of a Triangle into Unequal Proportions
ผู้แต่ง: Amadtohed N.
Chaidee T.
Racha-In P.
Theerakarn T.
วันที่เผยแพร่: 2022
สำนักพิมพ์: Hindawi Limited
บทคัดย่อ: We fully describe the envelope of all line segments that divide the perimeter of a triangle into the ratio α:1-α as α varies from 0 to 1/2. If α is larger than the ratio of the longest side length to the perimeter, then the envelope is a 12-sided closed curve consisting of six line segments and six parabolic arcs. For other values of α, the envelope is the union of one to three parabolic arcs and possibly a 5- or 9-sided nonclosed curve consisting of line segments and parabolic arcs. © 2022 Nawinda Amadtohed et al.
URI: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85132375510&doi=10.1155%2f2022%2f2751666&partnerID=40&md5=39c5326728de51310f433fd106318cfd
https://ir.swu.ac.th/jspui/handle/123456789/27112
ISSN: 1611712
Appears in Collections:Scopus 2022

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