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" A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another : XVI. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 2
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...may be drawn from any one point to any other point. DEMONSTRATION. — Def. 15. A circle is a plane figure contained by one line which is called the circumference,...lines drawn from a certain point within the figure (called the centre) to the circumferenee are equal to one another. AT. 1. Magnitudes which are equal...

An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 σελίδες
...Circumferences.— Use of compasses. 43. A circle is a figure contained by one line, termed the circumference, such that all straight lines drawn from a certain...within the figure to the circumference are equal. If we place one of the points of a pair of compasses upon a perfectly even board, and the compasses...

The Educational Speeches of the Hon'ble John Bruce Norton

John Bruce Norton - 1870 - 329 σελίδες
...allusion to it as " a plain figure contained by one line called the circumference, and such that all right lines drawn from a certain point within the figure to the circumference are equal to one another?" Why then should we stumble or 'be offended at the use of such terms as " Estopell," "Alimony," " Certiorari,"...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...angle. XII. A FIGURE is that which is enclosed by one or -ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, -which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are eqxial to one another....

The Southern Review, Τόμος 9;Τόμος 12;Τόμος 15

1871
...Euclid and Montucla have written in vain. According to their definition, the circumference of a circle 'is such, that all straight lines drawn from a certain point within the figure ,' etc. How in the world could such a point be otherwise than ' within the figure?' IB there any such...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...angle. XII. A FIGURE is that which is enclosed by one or •'ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are equal to one another....

The popular educator, Τόμος 1;Τόμος 29

Popular educator - 1872
...contained or bounded by a canal line, called the circumference or periphery, which is snch that aU straight lines drawn from a certain point within the figure to the circumference are equal to each other. This point Kg. 6. Fig. 7. is called the centre of the circle, and each of tho straight...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...XII. An acute angle is an angle which is less than a right angle. Def. XV. A circle is a plane bounded figure, contained by one line, which is called the circumference, and is such, that every point in it is at the same distance from a certain point within, which is called the centre....

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...more boundaries. , XV. A circle is a plane figure contained by one line, called the circumference, such that all straight lines drawn from a certain...to the circumference are equal to one another. XVI. This point is called the centre. XVII. A diameter of a circle is a straight line drawn through the...

Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873
...figures, are limited by more than four straight lines. 34. A circle is a figure contained by one line, called the circumference, and is such that all straight lines drawn from a certain point within the circle to the circumference are equal to each other. 35. This point is called the centre of the circle;...




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