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### Inhalt

 BOOK I 9 BOOK II 35 The Circle and the Measure of Angles 44 BOOK IV 57 BOOK V 83 Regular Polygons and the Area of the Circle 98
 SOLID GEOMETRY 112 Polyedrons 127 BOOK IX 148 The Three round Bodies 166 CONIC SECTIONS 177

### Beliebte Passagen

Seite 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Seite 17 - If two triangles have two sides, and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their third sides will be equal, and their other angles will be equal, each to each.
Seite 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Seite 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Seite 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Seite 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Seite 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Seite 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.