Elementary Plane Geometry Inductive And Deductive

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Measure the side of the square, and thence verify the accuracy of your construction.
23. If a right-angled triangle have one of the acute angles double the other, divide it into two triangles, one equilateral and the other isosceles.
24. Bisect the hypotenuse of a right-angled triangle. What rela- tion between the distances of the point so obtained from the three angles ?
25. ABC is a right-angled triangle, and CD is drawn perpendicular to the hypotenuse. Examine the relations between the angle
...s of the three triangles ABC, ACD, BCD. Give reasons.
CHAPTER X.
The Circle. Its Symmetry. Tangents. Finding- of Centre.
1. The fundamental quality of the circle, next to the equality of its radii, is its symmetry.
In the first place, every line drawn through the centre from circumference to circumference (i. E. , every diameter) is bisected at the centre. This is called central symmetry.
In the second place, every chord drawn at right angles to a diameter is bisected by that diameter. This is called axial symmetry.


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