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Syllabus

give examples for euclids axioms and postulates

prove that the sum of any two sides of a triangle is greater than twice the length of median drawn to the third side

: Prove that an equilateral triangle can be constructed on any given line

AB = AC, since they are the radii of the same circle (1)Similarly, AB = BC (Radii of the same circle) (2)prove that every line segment has one and only one mid point by using euclid's postulates and axioms.

what does coincide in geometry mean???

Write a short note on the history of Euclid.

Show that of all line segments drawn from the given point not on it, the perpendicular line segment is the shortest.

What is the difference between axiom and postulate? plz be detailed

C is the mid point of AB and D is the mid point of AC. Prove that

AD=1/4 AB

In the following figure, if AC = BD, then prove that AB = CD.

In the above question, point C is called a mid-point of line segment AB, prove that every line segment has one and only one mid-point.

in a given figure we have ab=bc,bx=by.show that ax=cy.state the axiom used.

Give daily life examples of Euclid's Axiom 1.

angle 1=angle 4 and angle 3 =angle 2. by which euclid's axiom , it can be shown that if angle 2= angle 4 then angle1= angle 3.

What is difference between a ray and a half line?

write the autobiography of Euclid?

solve the equation x-15=25 and state euclids axiom used here.

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)

IF A,B,C are three points on a line and B lies between A and C PROVE THAT AB + BC =AC. STATE EUCLID AXIOMS OR POSTULATE

If a point C lies between two points A and B such that AC=BC, then prove that

AC=1/2 ABHi,

n,l,m are three lines in the same plane. If l intersects m and n is parallel to m, show that l also intersects n.

Pls guide me in solving this problem. Thanks!

Use euclids axioms to prove the following:

Given x+y=10 and x=z . Show that z+y=10.

1) How many line segments can be determined by:-

(i) three collinear points? (ii) three non-collinear points?

2) How many planes can be determined by:-

(i) three collinear points? (ii) three non-collinear points?

what is the difference between axioms & postulates

What is Euclid's 5th postulate?

euclid's contribution to mathematics

explain when a system of axioms is called consistent

in the ncert reader ..in pg 83..it is given that.. "A system of axioms is called consistent (see Appendix 1), if it is impossible to deduce from these axioms a statement that contradicts any axiom or previously proved statement. So, when any system of axioms is given, it needs to be ensured that the system is consistent. " i did not understand this topic...pls can any of u explain it...

IN THE ADJOINING FIGURE,IF ANGLE 1=ANGLE 2,ANGLE 3 =ANGLE 4.ANGLE 2=ANGLE4, THEN FIND THE RELATION BETWEEN ANGLE1 AND ANGLE 3, USING EUCLIDS AXIOM.

If lines AB,AC,AD,AE are drawn parallel to line PQ,Then show that A,B,C,D are collinear points.

If P,Q and R are three points on a line and Q lies between P and R then show that PQ + QR = PR.(by using euclid's axioms)

ans-

let the first angle be x

second angle be x-90 degree

therefore , x+(x+25)=90 degree

2x+25=90 degree

2x=90-25

2x=65

x=65/2=32.5

I didn"t understand this question .pls experts answer fast

If a point C lies between two points A and B such that AC = BC, then prove that. Explain by drawing the figure.

1. How many lines can be drawn through a given point ?

2. In how many points two distinct lines can intersect ?

3. In how many lines tow distinct planes can intersect ?

4. In how many least no. of distinct points determine a unique plane ?

5. If B lies between A and C and AC=10, BC=6, what is AB

^{2}?prove two distinct lines cannot hace more than one point in common?

Life of Euclid and his Contribution to mathematicsgive me some points, guidelines to start on this Project.

can any one explain me the 3rd axiom:'if equals are added to equals,the wholes are equal.'

what is the difference between euclids axioms and postulates?

if B lies between A and C , AC = 21 cm and BC = 10 cm , what is AB square

' Lines are parallel if they do not intersect' is stated in the form of:

a) an axiom b) a definition

c) a postulate d) a proof

biodata of euclid.

pls tell me some famous mathematical problems featuring

picrossword puzzle on euclid geometry