 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...be divided into six equal arcs. And so on. BOOK IV. INSCRIBED AND CIRCUMSCRIBED FIGURES. DEFINITION. A circle is said to be described about a rectilineal...passes through all the angular points of the figure. PROPOSITION I. To describe a circle about a given triangle. Let ABCbe the given triangle. It is required... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...inscribed in a rectilineal figure, when the circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal...points of the figure about which it is described. 7. A straight line is said to be placed in a circle, when the extremities of it are in the circumference... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...in a rectilineal figure, when the circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal...circumference of the circle passes through all the angular poims of the figure about which it is described. vn. A straight line is said to be placed in a circle,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...each side of the circumscribed figure touches the circumference of the circle. EUCLID'S ELEMENTS. 6. A circle is said to be described about a rectilineal...points of the figure about which it is described. 7. A straight line is said to be placed in a circle, when the extremities of it arc in the circumference... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...all cases of the inscription of figures in, or the circumscription of figures about, circles. DEF.— A straight line is said to be placed in a circle when its extremities are on the circumference of the circle. PROPOSITION 1.— PROBLEM. In a given circle... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...its angular points are on the circumference of the circle; and a circle is said to be circumscribed about a rectilineal figure, when the circumference...passes through all the angular points of the figure. 4. A circle is said to be inscribed in a rectilineal figure, when the circumference of the circle is... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...its angular points are on the circumference of the circle; and a circle is said to be circumscribed about a rectilineal figure, when the circumference...passes through all the angular points of the figure. 4. A circle is said to be inscribed in a rectilineal figure, when the circumference of thecircle is... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...its angular points are on the circumference of the circle ; and a circle is said to be circumscribed about a rectilineal figure, when the circumference...passes through all the angular points of the figure. 4. A circle is said to be inscribed in a rectilineal figure, when the circumference of the circle is... | |
 | Pharmacy - 1844 - 630 pages
...represent the face of a cube, the second that of the regular tetrahedon. Now, it will be perceived that the circumference of the circle passes through all...points of the figure about which it is described. All these forms are equiexpanding. Fia. 2a. The regular six-sided prism expands unequally in some directions,... | |
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A circle is said to be described about a rectilineal figure, when the circumference of the circle passes through all the angular points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities... 
