One of the mysteries of the English language finally explained.
treated as singular The branch of mathematics concerned with conic sections.
- ‘It is said that from that result Pascal derived all of Apollonius' theorems on conics and more, no fewer than 400 propositions in all.’
- ‘There were also applications made by Apollonius, using his knowledge of conics, to practical problems.’
- ‘Secondly, I am working on the history of dioptrics, the geometry of the projections, as well as on the theory of conics.’
- ‘He wrote articles on such diverse topics as twisted cubics, developable surfaces, the theory of conics, the theory of plane curves, third- and fourth-degree surfaces, statics and projective geometry.’
- ‘The work of both Aristaeus and Euclid on conics was, almost 200 years later, further developed by Apollonius.’
- ‘This was meant to be the first part of a treatise on conics which Pascal never completed.’
- ‘In the same work Pappus writes about how the problem of trisecting an angle was solved by Apollonius using conics.’
- ‘It is thought that three of the propositions are later additions to the text, while the remaining ones give a remarkable insight into the theory of conics in the early second century BC.’
- ‘It could only do some partial unifications, such as the geometry of conics and the theory of equations.’
- ‘He gave a formula for the number of conics in a 1-dimensional system which properly satisfy a codimension 1 condition, and also a proof of his formula for the number of conics which properly satisfy five independent conditions.’
- ‘His work in geometry included a study of conics, quadrics and projective geometry.’
- ‘Apollonius did for conics what Euclid had done for elementary geometry: both his terminology and his methods became canonical and eliminated the work of his predecessors.’
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