First grade. Practical geometry

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George Philip & Son, 1879 - 32 sider
 

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Side 8 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 8 - A circle is a plane figure, bounded by a curved line, called the circumference, every part of which is equally distant from a certain point within, called the center.
Side 7 - A Square is a four-sided figure, having all its sides equal, and all its angles right angles ; as H.
Side 10 - Prob. 7. Through a given point C, to draw a line parallel to a given line AB.
Side 6 - A right-angled triangle (Fig. 24) is any triangle having one right angle. The side opposite the right angle is called the hypotenuse.
Side 11 - PROS. 6. At a given point A, in a given line AB, to make an angle equal to a given angle c. From the centres A and c, with any one radius, describe the arcs DE, F G.
Side 11 - From a given point, outside a given straight line, draw a line making with the given line an angle equal to a given angle.
Side 8 - B. 26. The diameter of a circle is a straight line AB, passing through the centre C, and dividing the circle into two equal parts, each of which is called a semicircle.
Side 5 - ... propositions in geometry but propositions in analysis. I look upon them as analytical a priori intuitions, and they concern me no further. But I must insist on other axioms which are special to geometry. Of these most treatises explicitly enunciate three : — (i) Only one line can pass through two points; (2) a straight line is the shortest distance between two points ; (3) through one point only one parallel can be drawn to a given straight line. Although we generally dispense with proving...

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