A system for additively manufacturing a composite part, the system comprising: a delivery guide movable relative to a surface and configured to deposit at least a segment of a continuous flexible line along a print path, wherein the print path is stationary relative to the surface; a vessel, configured to hold a volume of a liquid photopolymer resin and to apply a quantity of the liquid photopolymer resin to a non-resin component; a feed mechanism, configured to pull the non-resin component through the vessel and to push the continuous flexible line, comprising the non-resin component and further comprising a photopolymer-resin component that comprises at least some of the liquid photopolymer resin applied to the non-resin component in the vessel, out of the delivery guide; and a source of curing energy, wherein the source is configured to deliver the curing energy at least to a portion of the segment of the continuous flexible line after the segment of the continuous flexible line exits the delivery guide wherein: the vessel is configured to receive the non-resin component and to discharge the continuous flexible line; the vessel comprises an inlet through which the non-resin component is received into the vessel and an outlet through which the continuous flexible line is discharged from the vessel; and the outlet comprises a convergent passage, shaped to limit an amount of the liquid photopolymer resin exiting the vessel as part of the continuous flexible line. a delivery guide movable relative to a surface and configured to deposit at least a segment of a continuous flexible line along a print path, wherein the print path is stationary relative to the surface; a vessel, configured to hold a volume of a liquid photopolymer resin and to apply a quantity of the liquid photopolymer resin to a non-resin component; a feed mechanism, configured to pull the non-resin component through the vessel and to push the continuous flexible line, comprising the non-resin component and further comprising a photopolymer-resin component that comprises at least some of the liquid photopolymer resin applied to the non-resin component in the vessel, out of the delivery guide; and a source of curing energy, wherein the source is configured to deliver the curing energy at least to a portion of the segment of the continuous flexible line after the segment of the continuous flexible line exits the delivery guide wherein: the vessel is configured to receive the non-resin component and to discharge the continuous flexible line; the vessel comprises an inlet through which the non-resin component is received into the vessel and an outlet through which the continuous flexible line is discharged from the vessel; and the outlet comprises a convergent passage, shaped to limit an amount of the liquid photopolymer resin exiting the vessel as part of the continuous flexible line. the vessel is configured to receive the non-resin component and to discharge the continuous flexible line; the vessel comprises an inlet through which the non-resin component is received into the vessel and an outlet through which the continuous flexible line is discharged from the vessel; and the outlet comprises a convergent passage, shaped to limit an amount of the liquid photopolymer resin exiting the vessel as part of the continuous flexible line.