Golden Section’s Numerical Approximations in Terms of Graphics and Application

10.12737/5585 ◽  
2014 ◽  
Vol 2 (2) ◽  
pp. 15-20 ◽  
Author(s):  
Сафиулина ◽  
Yu. Safiulina ◽  
Шмурнов ◽  
V. Shmurnov
Keyword(s):  
Line Segment ◽  
Da Vinci ◽  
Golden Section ◽  
Leonardo Da Vinci ◽  
Problem Solution ◽  
Numerical Approximations ◽  
Circle Problem ◽  
Golden Rectangle ◽  
Gradual Development ◽  
Original Scheme

Golden proportion’s graphic plotting methods have been considered. A history related to gradual development of views on Golden section problem as «law of beauty» is traced. Numerical ratios most frequently used in the art for approximations related to division of a line segment in extreme and mean ratio have been provided. An original scheme for «Golden rectangle» construction based on application offered by Leonardo da Vinci for the quadrature of circle problem solution has been proposed.

Replication of Internal Biological Surfaces

1972 ◽  
Vol 30 ◽  
pp. 308-309
Author(s):  
J. A. Nowell ◽  
J. Pangborn ◽  
W. S. Tyler
Keyword(s):  
Da Vinci ◽  
Leonardo Da Vinci ◽  
Rat Lung ◽  
Tubular Structures ◽  
Cerebral Ventricles ◽  
Internal Surfaces ◽  
Biological Surfaces ◽  
Dog Kidney ◽  
Lung And Kidney ◽  
Scanning Electron

Leonardo da Vinci in the 16th century, used injection replica techniques to study internal surfaces of the cerebral ventricles. Developments in replicating media have made it possible for modern morphologists to examine injection replicas of lung and kidney with the scanning electron microscope (SEM). Deeply concave surfaces and interrelationships to tubular structures are difficult to examine with the SEM. Injection replicas convert concavities to convexities and tubes to rods, overcoming these difficulties.Batson's plastic was injected into the renal artery of a horse kidney. Latex was injected into the pulmonary artery and cementex in the trachea of a cat. Following polymerization the tissues were removed by digestion in concentrated HCl. Slices of dog kidney were aldehyde fixed by immersion. Rat lung was aldehyde fixed by perfusion via the trachea at 30 cm H2O. Pieces of tissue 10 x 10 x 2 mm were critical point dried using CO2. Selected areas of replicas and tissues were coated with silver and gold and examined with the SEM.

Leonardo Da Vinci.—II

1910 ◽  
Vol 69 (1782supp) ◽  
pp. 138-140
Author(s):  
Edward P. Buffet
Keyword(s):  
Da Vinci ◽  
Leonardo Da Vinci

scholarly journals Leonardo da Vinci Probably Did Not Have Strabismus—Reply

2019 ◽  
Vol 137 (11) ◽  
pp. 1332
Author(s):  
Christopher W. Tyler
Keyword(s):  
Da Vinci ◽  
Leonardo Da Vinci
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