Practical Plane Geometry and Projection: For Science Classes, Schools, and Colleges, Volume 1Collins, 1880 - Geometry, Plane |
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Common terms and phrases
ABCD angular points apex assumed axes base centre co-ordinate planes cone conical surface construction cube curve cutting plane cylinder determine the projections diagonal diameter dihedral angle directrix distance divided edge eleva ellipse equidistant Euclid Exam face figure generatrices Geometry given angle given circle given line given point gives ground line height Hence horizontal line horizontal traces hyperbola indefinite inscribed intersection isometric projection line joining line of contact line parallel meet oblique plane obtained octahedron parabola parallel to XY passing pentagon plan and elevation plane containing Plane Geometry plane inclined plane of projection plane of reference plane perpendicular plane v'fh Plate point of contact prism produced projectors pyramid rays rectangle represent right angles scale of slope semicircle shadow side solid solution square student surface tangent plane tetrahedron tion touch vertex vertical plane vertical projection vertical trace
Popular passages
Page 14 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 70 - ... 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...
Page 55 - When two circles touch one another, . they do so in one point only, and the straight line which joins their centres passes through the point of contact (Euclid iii.
Page 26 - The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Page 26 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.
Page 324 - Through a given point to draw a plane perpendicular to a given line.
Page 160 - Draw an elevation of them on a ground line parallel to the plan of one of them. 5. The horizontal and vertical traces of a plane make angles of 30° and 55° respectively with the ground line. A line, parallel to both planes of projection, is 3" above the horizontal, and 2
Page 28 - a matter of indifference, about which there is no ground either to believe or to disbelieve." Belief is different from knowledge, with which you here seem to confound it. We know that the whole is greater than its...
Page 161 - Given the projections of any three points, A, B, and C, not in a straight line ; required those of the circle passing through those points.
Page 81 - The locus of a point which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line is called a conic section.