A course of practical geometry for mechanics1846 |
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Página 16
... Diagonal is a right line drawn from one ver- tex to another of a rectilineal figure : such figure may , by diagonals , be divided into as many triangles , minus two , as it has sides . 60. A Rectangle is a right - angled parallelogram ...
... Diagonal is a right line drawn from one ver- tex to another of a rectilineal figure : such figure may , by diagonals , be divided into as many triangles , minus two , as it has sides . 60. A Rectangle is a right - angled parallelogram ...
Página 34
... diagonals in each of the above figures , and they shall cut each figure into four equal parts , or areas . PROBLEM XIV . To divide a line into any number of equal parts . 1. Let the given line be AB . 2. From the point A draw a line A D ...
... diagonals in each of the above figures , and they shall cut each figure into four equal parts , or areas . PROBLEM XIV . To divide a line into any number of equal parts . 1. Let the given line be AB . 2. From the point A draw a line A D ...
Página 43
... diagonals , cutting each other . 2. From the point of intersection as a centre , with half a diagonal as a radius , describe a circle , and it shall circumscribe the square as required . Vide Prob . XXIX . EXAMPLE . A square whose sides ...
... diagonals , cutting each other . 2. From the point of intersection as a centre , with half a diagonal as a radius , describe a circle , and it shall circumscribe the square as required . Vide Prob . XXIX . EXAMPLE . A square whose sides ...
Página 47
... diagonals and compare them , to prove whether the polygon is equiangular as well as equilateral . EXAMPLES . 1. Describe a regular pentagon on a line 2 inches long . 2. A regular pentagon is required one of whose sides is to be 14 ...
... diagonals and compare them , to prove whether the polygon is equiangular as well as equilateral . EXAMPLES . 1. Describe a regular pentagon on a line 2 inches long . 2. A regular pentagon is required one of whose sides is to be 14 ...
Página 48
... diagonals , draw lines pa- rallel to each diagonal , cutting off the corners of the square ; when the octagon will be formed as required . PROBLEM XLIV . To inscribe the largest regular octagon possible within a square . 1. On any line ...
... diagonals , draw lines pa- rallel to each diagonal , cutting off the corners of the square ; when the octagon will be formed as required . PROBLEM XLIV . To inscribe the largest regular octagon possible within a square . 1. On any line ...
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Términos y frases comunes
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
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...