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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. "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 2
von Euclides - 1862
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The Philosophy of the Inductive Sciences: Founded Upon Their History, Band 1

William Whewell - 1847 - 756 Seiten
...circle, — " that it is a figure contained by one line, which is called the circumference, and which is such, that all straight lines drawn from a certain point within the circumference are equal to one another," — we were to substitute an axiom and a definition, as follows...
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Lessons on the delineation of form

Charles Richson - 1848 - 98 Seiten
...DEFINITIONS, which may be illustrated by the diagrams; and upon which suitable questions may be asked. 1. "A circle is a plane figure, contained by one line,...figure to the circumference are equal to one another/' "And this point is called the centre of the circle." (A pair of dividers or compasses will be useful...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...less than a right angle. XIII. XIV. A figure is that which is inclosed by one or more boundaries. XV. A circle is a plane figure contained by one line,...figure to the circumference, are equal to one another. XVI. And this point is called ttas centre of the circle. XVII. A diameter of a circle is a straight...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...the extremity of any thing." XIV. A figure is that which is inclosed by one or more boundaries. xv. A circle is a plane figure contained by one line,...figure to the circumference are equal to one another. A VI. And this point is called the centre of the circle. XVII. A diameter of a circle is a straight...
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Rudimentary Dictionary of Terms Used in Architecture, Civil ..., Bände 1-2

John Weale - 1850 - 600 Seiten
...&c., for describing circles, measuring distances, and taking the thickness of solids Circle, a plain figure contained by one line, which is called the...figure to the circumference are equal to one another, and this point is called the centre of the circle The circumference of a circle is known to be about...
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Rudimentary dictionary of terms used in architecture [&c.].

John Weale - 1850 - 590 Seiten
...&c., for describing circles, measuring distances, and taking the thickness of solids Circle, a plain figure contained by one line, which is called the...figure to the circumference are equal to one another, and this point is called the centre of the circle Circular saw. Circular saws, revolving upon an axis,...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 Seiten
...five, and so on for polygons of a greater number of sides. XXIII. A circle is a plane figure bounded by one line, which is called the circumference; and...straight lines drawn from a certain point within the circle to the circumference, are equal to one another. This point is called the centre of the circle....
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 Seiten
...iif tin: following definitions, of a circle and parallel straight lines, point out two eirurs. (1.) A circle is a plane figure contained by one line,...is called the circumference, and is such that all lines drawn from a certain point within the figure are equal to one anollirr. 3. Eucliil says, "If...
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Minutes ...: Correspondence, Financial Statements, Etc., and Reports ..., Band 2

Great Britain. Committee on Education - 1850 - 942 Seiten
...following definitions, of a circle and parallel straight lines, point out two errors. (1.) A circle i» a plane figure contained by one line, which is called the circumference, and is such that all lines drawn from a certain point within the figure are equal to one another. (2.) Parallel lines are...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 Seiten
...figure contained by one boundary. Fig. 2. and Jig. 3. figures contained by more than one boundary.] XV. A circle is a plane figure contained by one line,...circumference, and is such that all straight lines B 3 BOOK I. drawn from a certain point within the figure to the circumference, are equal to one another....
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