Both strong and weak ultraviolet emission lines in Seyfert 1 galaxies have been accurately measured from reextracted short-wavelength camera data in the IUE satellite data archives. Line ratios, equivalent widths, and trends as functions of continuum variability were used to constrain numerical modeling parameters in detailed photoionization analyses for NGC 3783. All the data for He II lambda 1640, C IV lambda 1549, and C III] lambda1909 can be reasonably well reproduced by two cloud components. One has a source-cloud distance of 24 It-days, gas density around 3 x 10(10) cm-3, ionization parameter range (as the continuum varies) of 4 x 10(-2) to 2 x 10(-1), and cloud thickness such that almost-equal-to 50% of the carbon is doubly ionized and almost-equal-to 50% is triply ionized. The other component is located approximately 96 It-days from the source, is shielded from the source by the inner cloud, has a density around 3 x 10(9) cm-3, is characterized by an ionization parameter range 10(-3) to 2 x 10(-2) , and the cloud thickness is such that almost-equal-to 45% carbon is doubly ionized and almost-equal-to 55% is singly ionized. In going from the inner to outer clouds, the optical depth increases and the gas density decreases approximately as r-2. In order to produce satisfactory line intensities or trends for other higher ionization lines (e.g., O VI lambda1034, N V lambda1240) and lower ionization lines (e.g., Mg II lambda2798), still more gas components are necessary with gas density ranging from roughly 10(11) cm-3 to 10(9) cm-3 or less. For the multicomponent models the effective cloud ionization parameters would cover a large range from at least several times 10(-1) to several times 10(-4) (including allowance for continuum variability). The amount of dust obscuration along the line of sight, as required by the models, is consistent with reddening estimates from He II line ratios, and CNO abundance ratios derived from intercombination line intensities suggest abundances of carbon, nitrogen and oxygen lower by a factor of about 2 relative to solar. The He II line rest equivalent widths from the models suggest a gas covering factor of order 0.25.