Math, asked by Akhtartanzeel, 1 year ago

what is euclid in geometry​

Answers

Answered by cosmologist9
1

Answer:

Euclid is said to be the father of geometry.

even if he made some boring(for you) statements , he is still the father.

Hope this will help you !

Good Luck

Answered by niral
0

Answer:

Step-by-step explanation:

Euclid's 23 Definitions for plane geometry: The definitions begin the Elements.

1.A point is that of which there is no part.

2.A line is a widthless length.

3.A line's ends are points.

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

5.A surface is that which has only length and width.

6.The ends of a surface are lines.

7.A plane surface is one which lies evenly with the lines on it.

10.When a straight line set up 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 perpendicular to that on which it stands.

15.A circle is a plane figure contained by one line [which is called the circumference], and all the straight lines coming from one point of those lying within the figure and falling [upon the circumference of the circle] are equal to one another.

Note: An interpolation is suspected in the brackets. Manuscripts have the words, but the other ancient sources, namely the commentators, do not. Nor does papyrus Herculanensis No. 1061., the oldest source on The Elements. Heath notes (The Thirteen Books 184), "The words were doubtless added in view of the occurrence of the word "circumference" in Deff. 17, 18 immediately following, without any explanation. But no explanation was needed ... Euclid was perfectly justified in employing the word if Deff. 17, 18 and elsewhere, but leaving it undefined as being a word universally understood and not involving in itself any mathematical conception.

23.Parallel lines are whatever straight lines which, being in the same plane and being shot out to infinity in both directions, fall together with one another in neither direction.

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