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The things which are double of the same ...

The things which are double of the same thing are equal to one another.

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Since, it is one of the Euclid's axioms.
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Read the following axioms (i) Things which are equal to the same thing are equal to one another. (ii) If equals are added to equals, the wholes are equal. (iii) Things which are double of the same things are equal to one another. Check whether the given system of axioms is consistent or inconsistent.

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NCERT EXEMPLAR-INTRODUCTION TO EUCLID GEOMETRY-Introduction To Euclid Geometry
  1. The boundaries of the solids are curves.

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  2. The edges of a surface are curves.

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  3. The things which are double of the same thing are equal to one another...

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  4. If a quantity B is a part of another quantity A, then A can be writte...

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  5. State True or False The statements that are proved are called axioms.

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  6. "For every line L and for every point P not lying on a given line L, t...

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  7. Two distinct intersecting lines cannot be parallel to the same line.

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  8. Attempt to prove Euclid 's fifth postulate using the other postulates ...

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  9. Two salesmen make equal sales during the month of August. In September...

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  10. It is known that x+y=10 and that x=z. Show that z+y=10.

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  11. Look at the adjoining figure. Show that length AH gt sum of lengths of...

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  12. In the adjoining figure, if AB = BC and BX =BY, then show that AX=CY

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  13. In the adjoining figure , we have X and Y are the mid - point of A...

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  14. In the adjoining figure , if BX=(1)/(2)AB,BY=(1)/(2)BCand AB=BC, then...

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  15. In the adjoining figure, we have angle1=angle2 and angle 2 =angle3. S...

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  16. In the adjoining figure, we have angle1=angle3 and angle2=angle4. Sho...

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  17. In the ajoining figure , we haveangleABC=angleACBand angle3=angle4. Sh...

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  18. In the adjoining figure , we have AC=DC and CB = CE. Show that AB=DE.

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  19. In the adjoining figure, OX =1/2XY, PX =1/2XZ and OX =PX. Show that XY...

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  20. In the adjoining figure (i) AB=BC, M is the mid -point of A...

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