In this paper we investigate similar triangles which are not congruent but have two pair congruent sides. We show that greatest lower bound of values for similarity ratio of such triangles is golden ratio. For right triangles, we prove that the supremum of values for similarity ratio is the square root of the golden ratio.

The golden silk spun by Indian golden silkmoth Antheraea assama, is regarded for its shimmering golden luster, tenacity and value as biomaterial. This report describes the gene coding for golden silk H-fibroin (AaFhc), its expression, full-length sequence and structurally important motifs discerning the underlying genetic and biochemical factors responsible for its much sought-after properties....

rosy apple aphid, dysaphis plantaginea (passerini), with worldwide distribution is an important pest of apple orchards. host plant resistance is an essential component of integrated management of this insect pest. we investigated the resistance of seven apple cultivars, malus domestica (borkhausen), namely granny smith, starkrimson, golden smoothee, red delicious, golden delicious, boshghabi, a...

since the 19th century, opium has been produced and consumed in the areas of asia, currently referred to as the golden crescent and the golden triangle (1). the golden crescent lies in south and southwest asia, including districts in the northwest frontier province of pakistan, the adjacent badakhshan area of afghanistan and the baluchistan area of iran. the area has been the scene of tradition...

Genetic diversity as an important marker of the ecological status of aquatic ecosystems is considered a unique and powerful tool to evaluate biological communities. In order to evaluate the genetic diversity among golden mullet species (Liza aurata) in the southeast and southwest coasts of the Caspian Sea by D-Loop gene sequencing, a total of 23 fin specimens of golden mullet were collected fro...

Resistance categories (antibiosis and tolerance) of four sorghum (Sorghum bicolor (L.) Moench) hybrids to biotype I greenbug, Schizaphis graminum (Rondani), were determined in environmental growth chamber and field studies. Greenbug weight and fecundity were lower on ‘Cargill 607E’ compared with ‘Cargill 797’. Percentage of leaf damage area was significantly less on two resistant hybrids (Cargi...

AIM This study aimed to investigate the existence of the golden proportion, recurring esthetic dental (RED) proportion and golden percentage between the frontal view widths of the maxillary anterior natural dentition among students of Indian origin by the aid of digital photography. MATERIALS AND METHODS This study was conducted with 80 dental students (41 female and 39 male), with ages rangi...