CAVALIERI (Bonaventura)

, an eminent Italian mathematician in the 17th century. He was a native of Milan, and a friar of the order of the Jesuati of St. Jerome. Cavalieri was a disciple of Galileo, and the friend of Torricelli. He was a very eminent mathematician, and was professor of that science at Bologna; where several of his books were published, and where he died in the year 1647. His works that have been published, as far as I can find, are as follow:

1. Directorium Generale Uranometricum; 4to, Bononiæ, 1632.—In this work the author treats of Trigonome try; and Logarithms, their construction, uses, and applications. The work includes also tables of logarithms | of common numbers; with trigonometrical tables, of natural sines, and logarithmic sines, tangents, secants and versed sines.

2. Lo Spechio Ustorio overo Trattato delle Settioni Coniche: 4to, Bologna, 1632.—An ingenious treatise of conic sections.

3. Geometria Indivisibilibus continuorum nova quadam ratione promota: 4to, Bononiæ, 1635; and a 2d edition in 1653.—This is a curious original work in geometry, in which the author conceives the geometrical figures as resolved into their very small elements, or as made up of an infinite number of infinitely small parts, and on account of which he passes in Italy for the inventor of the infinitesimal calculns.

4. Trigonometria Plana & Sphærica, Linearis, & Logarithmica: 4to, Bononiæ, 1643.—A very neat and ingenioun. treatise on Trigonometry; with the tables of sines, tangents, and secants, both natural and logarithmical.

5. Exercitationes Geometricæ Sex: 4to, Bononiæ, 1647. This work contains Exercises on the method of Indivisibles; Answers to the objections of Guldini; The use of Indivisibles in cossic powers or algebra, and in considerations about gravity; with a miscellaneous collection of problems.

CAUDA Capricorni, a fixed star of the 4th magnitude, in the tail of Capricorn; called also by the Arabs, Dineb Algedi; and marked g by Bayer.

Cauda Ceti, a fixed star of the 3d magnitude; called also by the Arabs, Dineb Kaetos; marked b by Bayer.

Cauda Cygni, a fixed star of the 2d magnitude in the Swan's tail; called by the Arabs, Dineb Adigege, or Eldegiagich; and marked a by Bayer.

Cauda Delphini, a fixed star of the 3d magnitude, in the tail of the Dolphin; marked e by Bayer.

Cauda Draconis, or Dragon's tail, the moon's southern or descending node.

Cauda Leonis, a fixed star of the sirst magnitude in the Lion's tail; called also by the Arabs, Dineb Eleced; and marked b by Bayer. It is called also Lucida Cauda.

Cauda Ursæ Majoris, a sixed star of the 3d magnitude, in the tip of the Great Bear's tail; called also by the Arabs, Alalioth, and Benenath; and marked h by Bayer.

Cauda Ursæ Minoris, a fixed star of the 3d magnitude, at the end of the Lesser Bear's tail; called also the Pole Star, and by the Arabs, Alrukabah; and marked a by Bayer.