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Created by

Javier Florez
Javier Florez
Colombia

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Definitions and Postulates
 

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Definitions and PostulatesOnline version

Fill in the blank with the correct word

by Javier Florez
1

lines figures length lines quadrilateral line lines surface straight rectilinear semicircle right line diameter part Rectilinear point points ends containing angled point straight

Definitions

Definition 1
A is that which has no .

Definition 2
A is breadthless .

Definition 3
The of a line are .

Definition 4
A straight is a line which lies evenly with the points on itself .

Definition 5
A is that which has length and breadth only .

Definition 6 .
The edges of a surface are .

Definition 7
A plane surface is a surface which lies evenly with the straight on itself .

Definition 8
A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line .

Definition 9
And when the lines the angle are straight , the angle is called .

Definition 10
When a straight line standing on a straight line makes the adjacent angles equal to one another , each of the equal angles is right , and the straight line standing on the other is called a perpendicular to that on which it stands .


Definition 11
An obtuse angle is an angle greater than a right angle .

Definition 12
An acute angle is an angle less than a right angle .

Definition 13
A boundary is that which is an extremity of anything .

Definition 14
A figure is that which is contained by any boundary or boundaries .

Definition 15
A circle is a plane figure contained by one line such that all the lines falling upon it from one among those lying within the figure equal one another .

Definition 16
And the point is called the center of the circle .

Definition 17
A of the circle is any straight line drawn through the center and terminated in both directions by the circumference of the circle , and such a straight line also bisects the circle .

Definition 18
A is the figure contained by the diameter and the circumference cut off by it . And the center of the semicircle is the same as that of the circle .

Definition 19
are those which are contained by straight lines , trilateral figures being those contained by three , quadrilateral those contained by four , and multilateral those contained by more than four straight lines .

Definition 20
Of trilateral figures , an equilateral triangle is that which has its three sides equal , an isosceles triangle that which has two of its sides alone equal , and a scalene triangle that which has its three sides unequal .

Definition 21
Further , of trilateral figures , a - triangle is that which has a right angle , an obtuse - angled triangle that which has an obtuse angle , and an acute - angled triangle that which has its three angles acute .

Definition 22
Of figures , a square is that which is both equilateral and right - angled ; an oblong that which is right - angled but not equilateral ; a rhombus that which is equilateral but not right - angled ; and a rhomboid that which has its opposite sides and angles equal to one another but is neither equilateral nor right - angled . And let quadrilaterals other than these be called trapezia .

Definition 23
Parallel are straight lines which , being in the same plane and being produced indefinitely in both directions , do not meet one another in either direction .

 
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