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" 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 ... - Σελίδα 106
των Rev. John Allen - 1822 - 494 σελίδες
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 σελίδες
...and PQ touch the circle. Wherefore a circle has been inscribed in the given triangle. QEF DEFINITION. A rectilineal figure is said to be inscribed in a circle when all its angular points are upon the circumference of the circle. PROPOSITION III. To inscribe a square in a...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...pass through the angular points of the figure about which it is described, each through each. III. 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...

A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 σελίδες
...of the inscribed figure are upon the sides of the figure in which it is inscribed. Ex. ABCD— (b.) 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. Ex. ABCD — NOTE. —...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 σελίδες
...is one whose vertex is on the circumference, and which is formed by two chords, as BAC; 7. A polygon is said to be inscribed in a circle when all its angles have their vertices on the circumference, as ABC. ' The circle is then said to be described about the...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...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 aro on the circumference of the circle. 4. A rectilineal figure...

Elements of Geometry

Simon Newcomb - 1881 - 418 σελίδες
...INSCRIBED AND CIRCUMSCRIBED FIGURES An inscribed polygon and a circumscribed circle. Definitions. 228. Def. A rectilineal figure is said to be inscribed in a circle when all its vertices lie on the circle. The circle is then said to be circumscribed about the figure. 229. Def....

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...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 on the circumference of the circle. 4. A rectilineal figure...

The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 340 σελίδες
...is said to be inscribed in the latter ; 2, the latter is said to be described about the former, n. A rectilineal figure is said to be inscribed in a circle when its angular points are on the circumference. Reciprocally, a rectilineal figure is said to be circumscribed...

The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 σελίδες
...is said to be inscribed in the latter ; 2, the latter is said to be described about the former, ii. A rectilineal figure is said to be inscribed in a circle when its angular points are on the circumference. Reciprocally, a rectilineal figure is said to be circumscribed...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...pass through the angular points of the figure about which it is described, each through each. III. 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. IV. A rectilineal figure...




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