الفهرس 
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Abstract
The thesis expresses a proposed method for mathematical lofting using electronic computation. The ship hull surface ,,vas initially defined using al’two-step” method for longit¬udinal and vertical fairing based on the data of table of offsets: The adapt6d technique used for fairing was based on ordinary power polynomials in conjunction with the least squares principles. Eight main and one subroutine computer programs were developed to apply the adapted technique for a ship hull surface.
The expansion of a ship hull surface was treated and developed using both a graphical and a mathematical appro¬ach. For the tw-) approaches the geodesic line method, has been explained. Two main and nine subroutine computer pro¬grams have been developed to apply the geodesic line meth¬od for expanding a ship hull surface.The thesis begins with a chapter introducing the conve¬ntional mould loft techniques as applied in shipyards, and states the shortcomings of such techniques. The ship hull surface was then studied graphically and mathematically aiming to obtain the most suitable curve fitting method.The method of using geodesic line theory for shell expansion was introduced. The results obtained from a preset computer programs were analysed with the purpose of increasing the accuracy and shortening the time upon applying such methods.The thesis ends with general discussions, conclusions and suggestions for further work.