A course of practical geometry for mechanics |
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For " universally , similar rectilineal figures are to one ano . ther in the duplicate ratio of their homologous sides . " Duplicate ratio is the ratio of the square of one quantity to the square of another . EXAMPLES . 1.
For " universally , similar rectilineal figures are to one ano . ther in the duplicate ratio of their homologous sides . " Duplicate ratio is the ratio of the square of one quantity to the square of another . EXAMPLES . 1.
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Términos y frases comunes
altitude applied arithmetic base Bisect called centre chords circumference construct contain curved cutting definitions describe a circle describe a regular describe an arc diagonals diameter distance divide division dotted Draw a line Draw the line drawn ellipse employed ENGLISH Euclid EXAMPLE extremities figure four geometry given line given point given triangle greater half horizon inches long inscribe isosceles triangle Join legs length letters line 2 inches mean measure meet method names nearly Note number of equal obtained opposite parallel parallelogram pentagon perpendicular plane polygon practical Prob PROBLEM produced proportional quantity radius ratio Reason rectangle rectilineal right angles right line right-angled triangle scale sector segment sides similar solid square square equal straight line student Superficies tangent triangle equal triangle required vertex Vide Prob
Pasajes populares
Página 11 - 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.
Página 10 - A plane rectilineal angle is the inclination of two straight lines to one another, -which meet together, but are not in the same straight line.
Página 12 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 10 - When several angles are at one point B, any one ' of them is expressed by three letters, of which the letter ' that is at the vertex of the angle, that is, at the point in ' which the straight lines that contain the angle meet one ' another, is put between the other two letters, and one of ' these two is somewhere upon one of those straight lines, ' and the other upon the other line : thus the angle which ' is contained by the straight lines AB, CB, is named the ' angle ABC, or CBA; that which is...
Página 17 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 16 - A rhomboid is that which has its opposite sides equal to one another, but all its sides are not equal, nor its angles right angles.
Página 10 - A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.
Página 16 - A Parallelogram is a four-sided figure, of which the opposite sides are parallel ; and the diameter is the straight line joining two of its opposite angles.
Página 13 - A Segment is any part of a circle bounded by an arc and its chord. 51. A Semicircle is half the circle, or a segment cut off by a diameter. The half circumference is sometimes called the Semicircle. 52. A...