Estimation of the external quality characteristics of goose eggs of known breadth and length

Abstract

In this study, we investigated whether the mathematical formulas, which generally reveal the external quality characteristics of living organisms, yield the correct results in goose eggs. For this purpose, three genotypes and 555 eggs were studied that were grouped into Native (n = 356), Chinese (n = 163) and Linda (n = 36), which were raised in Aksaray province. The averages in the Native, Chinese and Linda geese were 5.43, 5.38 and 5.7 cm, respectively, in breadth; were 8.12, 8.03 and 8.67 cm in length, respectively; the shape index was 66.9, 67.2 and 66.7 cm, respectively; the egg volume was 142.8, 138.8 and 172.5 cm<sup>3</sup>, respectively; the egg surface area was 136.9, 134.3 and 155.4 cm<sup>2</sup>, respectively; the egg weight was 159.1, 154.5 and 192.3 g, respectively; the specific gravity of the eggs was 1.11, 1.11 and 1.12 g/cm<sup>3</sup>, respectively; the shell thickness was 0.510, 0.504 and 0.555 mm, respectively; the shell weight was 14.79, 14.32 and 18.26 g, respectively; the shell volume was 70.06, 67.82 and 86.41 cm<sup>3</sup>, respectively; the shell specific gravity was 2.111 3, 2.111 0 and 2.113 5 g/cm<sup>3</sup>, respectively; and the shell ratio was 9.29, 9.26 and 9.49 g, respectively. The number of pores is calculated as 14 828, 14 502 and 17 152, respectively. Although the formulas used give compatible results, there is a need for formulas that calculate closer to the truth rather than formulas that calculate the egg weight and egg shell weight.

Hügelschäffer egg curve and surface

“…Egg-shaped curves and surfaces have wide applications in engineering (air, civil, food). For the calculation of A, V and S of egg-shaped curves and surfaces, mostly numerical approximations were used, such as the ones presented in works [17], [25], [28], [37], [45], [50], [53]. In this paper, we determined the formulae for calculating A, V and S in a Hügelschäffer model and we expect that the obtained result will be applicable in various engineering areas.…”

“…Analogous to the previous example, a Hügelschäffer egg-shaped curve model can be generated according to the profiles of egg-shaped pipe sewers obtained through composition of circular arcs with the shape index B/L = 2/3 or B/L = 3/4 as given in [51]. In recent years, the application of Hügelschäffer models, as well as other mathematical models for describing the shape of eggs -ovoid forms (curves and surfaces) in the poultry industry and food engineering is on the rise, as evident from papers [2], [14], [15], [17], [20], [22] - [32].…”

Hugelschaffer egg curve and surface

“…Egg-shaped curves and surfaces have wide applications in engineering (air, civil, food). For the calculation of A, V and S of egg-shaped curves and surfaces, mostly numerical approximations were used, such as the ones presented in works [16], [22], [25], [33], [41], [46], [49]. In this paper, we determined the formulae for calculating A, V and S in a Hügelschäffer model and we expect that the obtained result will be applicable in various engineering areas.…”

“…Analogous to the previous example, a Hügelschäffer egg-shaped curve model can be generated according to the profiles of egg-shaped pipe sewers obtained through composition of circular arcs with the shape index B/L = 2/3 or B/L = 3/4 as given in [47]. In recent years, the application of Hügelschäffer models, as well as other mathematical models for describing the shape of eggs -ovoid forms (curves and surfaces) in the poultry industry and food engineering is on the rise, as evident from papers [2], [13], [14], [16], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28].…”

The Impact of Different Egg Weights on External Egg Quality Characteristics in Turkish Native Geese of the Kars Region

“…Various parameters were then calculated using established formulas to enable further analysis of egg characteristics. These parameters included the geometric mean diameter (Dg), surface area (S), volume (V), shape index (SI), sphericity (Sp), elongation (E), and specific gravity (SG), all of which were obtained with utmost care and precision, thus providing valuable insights into the physical properties of the eggs [16][17][18][19][20][21][22].…”