1. A milking unit (2) for a milking unit (1) for milking animals giving milk, said milking unit having at least one module (10, 10 ′, 10 ″) of a milking cup with a housing (9), a milking cup ( 4), a drive device (19) and a unit of pulling elements connected to the milking cup (4), characterized in that the unit of pulling elements has a segment module (11, 11 ′) with at least two pulling elements (16, 16 ′, 17) .2. The milking machine (2) according to claim 1, characterized in that at least one module (10, 10 ′, 10 ″) of the teatcup is movable from the initial position in which the teatcup (4) assumes a position that is inclined relative to the vertical, to the position of placement in which the milking cup (4) is located in a substantially vertical position, to the milking position in which the milking cup (4) is connected to the corresponding teat of the animal to be milked, and vice versa. 3. The milking machine (2) according to claim 1, characterized in that the segment module (11) has a locking device (12), a rotary segment (13), at least one intermediate segment (14) and a fixing segment (15), and the fixing the device (12) is rigidly connected to the milking cup (4), and the fixing segment (15) is rigidly connected to the housing (9) .4. The milking machine (2) according to claim 3, characterized in that the fixing device (12) has an angular rotary part (12b), and the rotary segment (13) has an angular contact part (13b), which corresponds to the angular rotary part (12b). 5. The milking machine (2) according to any one of claims 1 to 4, characterized in that at least two pulling elements (16, 17) of the node of the pulling elements are located one above the other1. Доильный аппарат (2) для доильной установки (1) для доения животных, дающих молоко, причем упомянутый доильный аппарат имеет по меньшей мере один модуль (10, 10′, 10″) доильного стакана с корпусом (9), доильным стаканом (4), приводным устройством (19) и узлом тянущих элементов, соединенным с доиль