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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. "
First principles of Euclid: an introduction to the study of the first book ... - Page 18
by T S. Taylor - 1880
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...expression, in ( n — 3). [See Elements of Algebra, Art. 178.] 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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The Philosophy of the Inductive Sciences: Founded Upon Their History, Volume 1

William Whewell - Science - 1847 - 756 pages
...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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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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,...within the 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...
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Lessons on the delineation of form

Charles Richson - 1848 - 98 pages
...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,...point within the 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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,...point within the 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...
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Rudimentary dictionary of terms used in architecture [&c.].

John Weale - 1850 - 590 pages
...&c., for describing circles, measuring distances, and taking the thickness of solids Circle, a plain figure contained by one line, which is called the...point within 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...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...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 pages
...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 ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pages
...following definitions, of a circle and parallel straight lines, point out two errors. (1.) A circle iť 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 pages
...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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