Euclid Book One - Definitions, Postulates, Common Notions

Question	Answer
1. A _____ is that which has no part	1. Point
2. A _____ is breadth-less length	2. Line
3. The extremities of a line are ____	3. Points are the extremities of ____
4. A ___ __ is a line which lies evenly with the points on itself	4. Straight Line
5. A _____ is that which has length and breadth only	5. Surface
6. The extremities of a surface are _____	6. Lines are the extremities of a _____
7. A __ ___ is a surface which lies evenly with the straight lines on itself	7. Plane Surface
8. A __ ___ is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line	8. Plane Angle
9. When lines containing a plane angle are straight, the angle is called _____	9. Rectilineal
10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the angles is ____, and the straight line standing on the other is called ____ to that on which it stands.	10. Right & Perpendicular
11. An ___ angle is an angle greater than a right angle	11. Obtuse
12. An __ is an angle less than a right angle	12. Acute
13. A _____ is that which is an extremity of anything	13. Boundary
14. A _____ is that which is contained by any boundary or boundaries	14. Figure
15/16. A _____ is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another / and that point is called the ___ of the circle.	15/16. Circle / Centre (of circle)
17. A _____ of the circle is any straight line drawn through the centre and terminated in both directions by the circumference of the circle, and such a straight line also bisects a circle	17. Diameter
18. A _____ is the figure contained by the diameter and the circumference cut off by it; the centre is the same as that of the circle	18. Semicircle
19. __ __ are those which are contained by straight lines, __ being those contained by three, __ those contained by four, and __ those contained by more than four straight lines	19. Rectilinear Figures; Trilateral; Quadrilateral; Multilateral
20. Of trilateral figures, the __ __ is that which has its three sides equal; an __ has two of its sides alone equal, and a __ that which has its three sides unequal	20. Equilateral Triangle; Isosceles; Scalene
21. Of trilateral figures, a __ __ ___ is that which has a right angle; and so forth for obtuse, and acute.	21. Right-Angled Triangle
22. Of quadrilateral figures, a ___ is both equilateral and right-angled, an __ is right angled, but not equilateral; a __ is equilateral but not right angled, and a __ has its opposite sides and angles equal, but is not equilateral or right-angled. Other quadrilaterals are called ___..	22. Square; Oblong; Rhombus; Rhomboid; Trapezia
23. ___ __ are straight lines which, being in the same plane and produced indefinitely in both directions, do not meet one another in either direction	23. Parallel Lines
To draw a straight line from any point to any point	Postulate 1
To produce a finite straight line continuously in a straight line	Postulate 2
To describe a circle with any centre and distance	Postulate 3
All right angles are equal to one another	Postulate 4
If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, meet on that side.	Postulate 5
Things which are equal to the same thing are equal to one another	Common Notion 1
If equals be added to equals, the wholes are equal	Common Notion 2
If equals be subtracted from equals, the remainders are equal	Common Notion 3
Things which coincide with one another are equal to one another	Common Notion 4
The whole is greater than the part	Common Notion 5

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Euclid Book One - Definitions, Postulates, Common Notions

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	Created by MaryAnne Spiess about 5 years ago