A course of practical geometry for mechanics1846 |
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Side 21
... employed to express transformation , is Reduction . 101. The word Intersection is used when two lines cut each other , and the place where they cross is called the Point of intersection . 102. The word Bisect , signifies to divide into ...
... employed to express transformation , is Reduction . 101. The word Intersection is used when two lines cut each other , and the place where they cross is called the Point of intersection . 102. The word Bisect , signifies to divide into ...
Side 22
... employed in Euclid's Elements ; but some eminent Ma- thematicians prefer the word equivalent , except where the things in question are precisely alike , in which cases only they employ the word equal . When two lines or figures are said ...
... employed in Euclid's Elements ; but some eminent Ma- thematicians prefer the word equivalent , except where the things in question are precisely alike , in which cases only they employ the word equal . When two lines or figures are said ...
Side 24
... employed ; these are called lines of Construction , and are always to be dotted . Dotted lines are employed for three purposes ; first , to show the shape of those parts in solids that are hidden by some opaque covering . For example ...
... employed ; these are called lines of Construction , and are always to be dotted . Dotted lines are employed for three purposes ; first , to show the shape of those parts in solids that are hidden by some opaque covering . For example ...
Side 55
... demand theoretical aid . Con- nected with each problem , a rule or reason is given , to justify the processes employed . These reasons should be committed to memory ; for though the demonstrations of the rules PRACTICAL GEOMETRY . 55.
... demand theoretical aid . Con- nected with each problem , a rule or reason is given , to justify the processes employed . These reasons should be committed to memory ; for though the demonstrations of the rules PRACTICAL GEOMETRY . 55.
Side 56
... employed with equal advantage . The figures given should be drawn with thin lines ; those sought with thick lines , as in Prob . LVII . Such lines only of the diagrams quoted as are described in the problems must be drawn , as the other ...
... employed with equal advantage . The figures given should be drawn with thin lines ; those sought with thick lines , as in Prob . LVII . Such lines only of the diagrams quoted as are described in the problems must be drawn , as the other ...
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Vanlige uttrykk og setninger
altitude angle to contain arc or angle arithmetic Arithmetical mean base called centre chords shall form circumference decagon describe a circle describe an arc describe arcs cutting describe the arc diagonals diameter dodecagon Draw a line Draw chords Draw the line ellipse equilateral triangle erect a perpendicular Euclid Euclid's Elements EXAMPLE extremities generatrix given angle given circle given figure given line given number given point given triangle inches long inscribe a regular isosceles triangle Join length Let A B line 2 inches lines A B number of degrees number of equal parallel parallel ruler parallelogram pentagon perpendicular plane point of intersection PROBLEM protractor radii radius ratio rectangle regular heptagon regular pentagon regular polygon rhombus right angles right-angled triangle scale scalene triangle sector segment square equal straight line Superficies tangent triangle ACB triangle required vertex vertical angle Vide Def Vide Prob WANOSTROCHT'S
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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...
Side 17 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Side 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.
Side 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.
Side 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.
Side 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...