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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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...figure pass through the angular points of the figure about which it is described, each through each. nI. 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...

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

Robert Potts - 1865 - 528 σελίδες
...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 tho circumference of the circle. A rectilineal...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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...

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

Euclid, Isaac Todhunter - 1867 - 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 f angles of the inscribed figure are on the circumference of the circle. 4. A rectilineal figure...

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

Robert Potts - 1868 - 434 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. A rectilineal...

Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 σελίδες
...roí iyypa^ofiivov uiгTi\-ai rrjc той KÚK\OV irepii¡>epiíaç. DEFINITION 3 — A rectilinear figure is said to be inscribed in a circle when all its angles rest upon the periphery of the circle. "Opo£ $'. — "2%rífia Sk f¿0vypa/i/AOv iTfpí KVK\OV Xíyfrai,...

Euclid's Elements of Geometry

Euclid - 1872 - 284 σελίδες
...„ 62 + c2 = (CA)2, therefore, a2 + 2ab + b2 + c2 = a2 + 2ab + b2 + c2. FOURTH BOOK. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a circle, when each of its angles touches the circumference of the circle. 2. A rectilineal figure is said to be circumscribed...

Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...described about, or to circumscribe another figure, when all its sides pass through the angular points of the other. 3. A rectilineal figure is said to be inscribed in a circle -when all its angles are On the circumference of the circle. 4. A rectilineal figure is said to be described about, or to Circumscribe...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 angular points of the inscribed figure are upon the circumference of the circle. 4. A rectilineal...

Euclidian Geometry

Francis Cuthbertson - 1874 - 400 σελίδες
...diameter drawn through P, and will therefore meet the circle in some point Q; join PQ. DEFINITION. A rectilineal figure is said to be inscribed in a circle when all the angular points of the rectilineal figure are upon the circumference of the circle. PROBLEM 2. /;/...




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