stylistic:tone
Classification

Triceratops is the best-known genus of Ceratopsidae, a family of large, mostly North American ceratopsians. The exact relationship of Triceratops among the other ceratopsids has been debated over the years. Confusion stemmed mainly from the combination of a short, solid frill (similar to that of Centrosaurinae), with long brow horns (more akin to Chasmosaurinae). In the first overview of ceratopsians, R. S. Lull hypothesized the existence of two lineages, one of Monoclonius and Centrosaurus leading to Triceratops, the other with Ceratops and Torosaurus, making Triceratops a centrosaurine as the group is understood today. Later revisions supported this view when Lawrence Lambe, in 1915, formally describing the first, short-frilled group as Centrosaurinae (including Triceratops), and the second, long-frilled group as Chasmosaurinae.

In 1949, Charles Mortram Sternberg was the first to question this position, proposing instead that Triceratops was more closely related to Arrhinoceratops and Chasmosaurus based on skull and horn features, making Triceratops a chasmosaurine ("ceratopsine" in his usage) genus. He was largely ignored, with John Ostrom and later David Norman placing Triceratops within the Centrosaurinae.

Subsequent discoveries and analyses, however, proved the correctness of Sternberg's view on the position of Triceratops, with Thomas Lehman defining both subfamilies in 1990 and diagnosing Triceratops as "ceratopsine" on the basis of several morphological features. Apart from the one feature of a shortened frill, Triceratops shares no derived traits with centrosaurines. Further research by Peter Dodson, including a 1990 cladistic analysis and a 1993 study using resistant-fit theta-rho analysis, or RFTRA (a morphometric technique which systematically measures similarities in skull shape), reinforces Triceratops ' placement as a chasmosaurine.

The cladogram below follows Longrich (2014), who named a new species of Pentaceratops, and included nearly all species of chasmosaurine.

For many years after its discovery, the deeper evolutionary origins of Triceratops and its close relatives remained largely obscure. In 1922, the newly discovered Protoceratops was seen as its ancestor by Henry Fairfield Osborn, but many decades passed before additional findings came to light. Recent years have been fruitful for the discovery of several antecedents of Triceratops. Zuniceratops, the earliest-known ceratopsian with brow horns, was described in the late 1990s, and Yinlong, the first known Jurassic ceratopsian, was described in 2005.

These new finds have been vital in illustrating the origins of ceratopsians in general, suggesting an Asian origin in the Jurassic and the appearance of truly horned ceratopsians by the beginning of the Late Cretaceous in North America.

In phylogenetic taxonomy, the genus Triceratops has been used as a reference point in the definition of Dinosauria. Dinosaurs have been designated as all descendants of the most recent common ancestor of Triceratops and modern birds. Furthermore, Ornithischia has been defined as those dinosaurs more closely related to Triceratops than to modern birds.