Books Books A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. 5. In like manner, a circle is said to be inscribed... Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 106
by Euclid, Rev. John Allen - 1822 - 494 pages ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...sides as the figure about which it is described has angles, and consequently as many angles. m. x- — A rectilineal figure is said to be inscribed in a circle, when all the angular points of the inscribed figure are upon the circumference of the circle. IV. A rectilineal... ## The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...figure pass through the angular points of the figure about which it is circumscribed, each through each. 3. A Rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle. 4. A Rectilineal figure... ## Iconographic Encyclopedia

J.G. Heck - 1860
...immediately or when produced cuts the circumference in two points, is called a secant, ab (fig. 46). A rectilineal figure is said to be inscribed in a circle when all its sides are chords (fig. 45) ; it is said to be circumscribed about a circle when all its sides are tangents... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...pass through the angular points of the figure about .tvhich it is described, each through each. i ; 3. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle. 4. A rectilineal figure... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...figure pass through the angular points of the figure about which it is described, each through each. m. A rectilineal figure is said to be inscribed in a circle, when all the angular points of the inscribed figure are upon the circumference of the circle. C) IV. A rectilineal... ## A handbook of practical gauging

Janes Boddely Keene - 1861
...number of their sides, as Pentagons (5 sides), Hexagons (6 sides), &c. Figs. 17 and 18. NOTE. — A figure is said to be inscribed in a circle when all its angles touch the circumference, and a circle is said to be inscribed in a figure when the circumference touches... ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...of one rectilineal figure being inscribed in another rectilineal figure, or circumscribed about it. 3. A rectilineal figure is said to be inscribed in a circle when each angular point of the inscribed figure touches the circumference of the circle ; Thus, the qu.... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...figure pass through the angular points of the figure about which it is described, each through each. 3. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle. 4. A rectilineal figure... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...figure pass through the angular points of the figure about which it is described, each through each. in. A rectilineal figure is said to be inscribed in a circle, when all the angular points of the inscribed figure are upon the circumference of the circle. IV. A rectilineal... 