Taxicab definition in Wikipedia
A taxicab, also known as a taxi or a cab, is a type of vehicle for hire with a driver, used by a single passenger or small group of passengers, often for a non-shared ride. A taxicab conveys passengers between locations of their choice.
This differs from other modes of public transport where the pick-up and drop-off locations are determined by the service provider, not by the passenger, although demand responsive transport and share taxis provide a hybrid bus/taxi mode.
Źródło: https://en.wikipedia.org/wiki/Taxicab
Wikipedia and pet taxi
A pet taxi is a type of transportation taxi service that transports various pets. Some pet taxi services also provide pet ambulance, animal boarding and grooming services. Some pet sitting companies may also offer pet taxi services. Some pet taxis charge by the mile, while others may offer a flat rate for various trips. Less commonly, some pet taxi services may offer long-distance pet transportation, such as a trip from New York City to Florida.
Trip itineraries may include trips to veterinarians, pet sitting services, kennels and pet spas. Transportation to and from airports may occur because standard taxicabs may not allow pets. Clientele may include people who don't have time or a means to transport their pets.
Źródło: https://en.wikipedia.org/wiki/Pet_taxi
Transport taxi from the train station
In every city there are such places, which is more taxis. One of such places are bus stations. At these stations gets out every day a lot of people in possession of a different size bags, because usually eager to use taxis.
Other places are the taxi railway stations. At these stations taxis are especially needed because disembark on them sometimes people arriving from distant places of the country and do not know the city well, so use the taxi for them becomes a very practical solution. Taxi drivers willing to stand well in hospitals and in centers of culture, because in such places can also count on a large number of customers.