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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

The Practical Teacher, Τόμος 1,Τεύχος 1

1882
...that superficies. An obtuse angle is that which is greater than a right angle. A circle is a plane figure contained by one line which is called the circumference, and is such that all straight lines drawn from я certain point (called the centre) within the figure to the circumference are equal to one another....

Intuitions of the Mind: Inductively Investigated

James McCosh - 1882 - 451 σελίδες
...any length in a straight line ;" " There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn from a certain point •within the figure are equal to one another ;" and that " A circle may be described from any centre at any distance from...

Class lessons on Euclid

Marianne Nops - 1882
...the definition of a circle (def. 15). It is to the latter part that I wish to draw your attention, ' and is such that all straight lines drawn from a certain point (the centre) within the figure to the circumference are equal.' Here is a mode of measuring the lines...

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

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...any thing. 14. A figure is that which is enclosed by one or more boundaries. 15. A circle is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another : 16. And this point is called the centre of the circle. 17. A diameter of a circle is a straight lino...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 σελίδες
...that of an angle, which is one not " enclosed." 11. A circle is a plane figure bounded by one line called the circumference, and is such that all straight...figure to the circumference are equal to one another. 12. This point is called the centre of the circle. A radius is a straight line from the centre to the...

Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...in that surface. DEF. 7. A plane figure is a portion of a plane surface enclosed by a line or lines. straight lines drawn from a certain point within the...figure to the circumference are equal to one another. This point is called the centre of the circle. DEF. 9. A radius of a circle is a straight line drawn...

Mensuration for beginners [With] Answers

William Dodds - 1883
...THE CIRCUMFERENCE AND DIAMETER OF A CIRCLE. 96. A Circle is a plane figure bounded bj a curved line called the circumference, and is such that all straight lines drawn from a point within the figure to the circumference are equal, and this point is called the centre of the...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...1. A straight line may be drawn from any one point to any other. Definition 15. A circle is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another. Axiom 1. Magnitudes which are equal to the same magnitude are equal to one another. Definition 24....

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...the word ' area ' used for, and what does ' figure ' then mean ? 8. CIRCLES. 15. A circle is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another. 16. And this point is called the centre of the circle. 17. A diameter of a circle is a straight line...

The elements of plane geometry, Τόμος 1

Mathematical association - 1884
...between perpendiculars let fall on it from the extremities of the former. DEF. 41. A circle is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another. This point is called the centre of the circle. DEF. 42. A radius of a circle is a straight line drawn...




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