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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... "
A System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Page 51
by George Darley - 1836 - 128 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...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...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...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...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry B. Maglathlin - 1894 - 370 pages
...straight line drawn from the center to the circumference ; as the lines CA, CB, or C D. 419. A Square is said to be inscribed in a circle when the vertices of its angles are in the circumference. Thus, The square ABCD is inscribed in a circle. 420. By Geometry...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...three chords ? 130. Show how you inscribe an equilateral triangle in a circle. NOTE. — A polygon is said to be inscribed in a circle when the vertices of all the angles of the polygon are in the circumference. 131. Include an angle of 40° by two lines, each...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...Quindecagon. 2. A Polygon is Regular when all its sides are equal, and all its angles are equal. 3. A rectilineal figure is said to be inscribed in a circle, when all its angular points are on the circumference of the circle; and a circle is said to be circumscribed...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...Quindecagon. 2. A Polygon is Regular when all its sides are equal, and all its angles are equal. 3. A rectilineal figure is said to be inscribed in a circle, when all its angular points are on the circumference of the circle; and a circle is said to be circumscribed...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...Quindecagon. 2. A Polygon is Begular when all its sides are equal, and all its angles are equal. 3. A rectilineal figure is said to be inscribed in a circle, when all its angular points are on the circumference of the circle ; and a circle is said to be circumscribed...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...circumscribed figure pass through the respective angles of that about which it is circumscribed. 3. A rectilineal figure is said to be inscribed in a circle when each angle of the inscribed figure lies on the circumference of the circle. 4. A rectilineal figure...
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