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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. 7. A straight line is said to be placed in a circle, when the extremities... "
Elements of Plane Geometry According to Euclid - Σελίδα 80
των Andrew Bell - 1837 - 240 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Robert Potts - 1868 - 434 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VU. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...

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

Euclides - 1874 - 342 σελίδες
...circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal figure, when the circumference of the...extremities of it are in the circumference of the circle. PROPOSITION 1. — Problem. In a given circle to place a straight line, equal to a given straight line...

Euclidian Geometry

Francis Cuthbertson - 1874 - 400 σελίδες
...Similarly it may be proved that the L at K= / PQR ; DEFINITION. 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 rectilineal figure. PROBLEM 4. To describe a circle about a given triangle. A Let ABC be the given...

A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 σελίδες
...touches the circumference of the circle. Ex. ABCD — NOTE. — A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. Ex. A — Problem 129. To describe an equilateral triangle about a given square ABCD. 1. From points...

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

Robert Potts - 1876 - 446 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VIL A straight line is said to be placed in a circle, when the extremities of it are in the circumference...

Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 σελίδες
...on. BOOK IV. INSCRIBED AND CIRCUMSCRIBED FIGURES. DEFINITION. A circle is said to be described about a rectilineal figure when the circumference of the...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...

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

Isaac Todhunter - 1880 - 426 σελίδες
...circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal figure, when the circumference of the...extremities of it are in the circumference of the circle. PROPOSITION 1. PROBLEM. In a given circle, to place a straight line, equal to a given straight line,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the 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,...

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

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...touches the circumference of the circle. EUCLID'S ELEMENTS. 6. A circle is said to be described about a rectilineal figure, when the circumference of the...be placed in a circle, when the extremities of it arc in the circumference of the circle. PROPOSITION 1. PROBLEM. In a given circle, to place a straight...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...




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