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Seite 2 - 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 12 - Through a given point to draw a line parallel to a given straight line. Let C be the given point, and AB the given line.
Seite 4 - Circle is a plane figure bounded by one uniformly curved line, bed (Fig. 16), called the circumference, every part of which is equally distant from a point within it, called the centre, as a.
Seite 4 - Hexagon, of six sides; a Heptagon, seven; an Octagon, eight; a Nonagon, nine ; a Decagon, ten ; an Undecagon, eleven ; and a Dodecagon, twelve sides.
Seite 23 - 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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Seite 23 - A as a centre and radius equal to the sum of the radii of the given circles ; and continue as before, except that BE and AD will now be on opposite sides of AB. The two straight lines which are thus drawn to touch the two given circles can be shewn to intersect AB at the same point. 5. To describe a circle which shall pass through three • given points not in the same straight line. This is solved in Euclid IV. 5. 6. To describe a circle...
Seite 3 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 40 - The projection of a line upon a plane is the locus of the projections of all points of the line upou the plane.
Seite 60 - ... quarter of an inch in depth at several times, allowing sufficient intervals for the fluid to stain the stone in that plane, 4, 3, 2, 1, it has fallen to at the last abstraction. These stains will present a series of horizontal lines or contours, 4, 3, 2, 1, all round the surface of the stone ; and if we examine the stone thus prepared, looking down upon the top, we shall see that the steepness and REPRESENTATION OF THE GROUND.
Seite 73 - IF two parallel planes be cut by another plane, their common sections with it are parallels.* Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with it be EF, GH ; EF is parallel to GH.

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