## A course of practical geometry for mechanics |

### From inside the book

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**given**to objects which would require more paper than could be spared to assign to the horizon its true position ...**circle**, or any other curve without cutting it ; also , a line or**circle**is tangential , or is a tangent to a**circle**, or ... Page 16

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**circle**, or the**circle**Circumscribes it , when all the vertices of the former , touch the**circumference**of the ...**given**lines for its base , and the other for its height . 55. A Multiple of a line or figure , is another line or figure ... Page 26

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**given**point is at or near the end of the line . 1. Let C be the**given**point on the line A B. 2. Take any point above the**given**line , as D , and from it as a centre , with the**radius**D C , describe a**circle**, or arc , cut- ting A'B in E ... Page 27

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**given**line , and A the**given**point . 2. From A as a centre , with any**radius**greater than the distance from A to B C ...**circle**, or arc , cutting A B in C and E. 5. Draw FC , which will be perpendicular to AB as re- quired . Other ... Page 32

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**given circle**. 1. Describe any circle , and conceive the centre to be imper- ceptible to the naked eye . 2. Draw a right line or chord in any direction 32 PRACTICAL GEOMETRY .### Other editions - View all

### Common terms and phrases

60 degrees altitude angle equal arc or angle Bisect called centre chords shall form circumference curvilineal cutting A B decagon describe a circle describe a regular describe an arc describe arcs cutting diagonals diameter dodecagon Draw a line Draw chords draw lines Draw the line ellipse equilateral triangle Euclid Euclid's Elements EXAMPLE generatrix geometry given angle given circle given line given point given right line given triangle gonals heptagon inches long inscribe isosceles triangle Join length Let A B line 2 inches line A B line parallel LVIII number of degrees number of equal parallel ruler parallelogram pentagon perpendicular plane point of intersection protractor radii radius ratio rectangle regular nonagon regular polygon rhombus right angles right-angled triangle segment square equal straight line superficies tangent trapezium triangle being given triangle equal triangle required vertex vertical angle Vide Def vide Prob

### Popular passages

Page 8 - 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.

Page 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 9 - CHG; and they are adjacent angles; but when a straight line standing on another straight line makes the adjacent angles equal to one another...

Page 9 - 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.

Page 13 - Of four-sided figures, a SQUARE is that which has all its sides equal, and all its angles right angles.

Page 9 - 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.

Page 14 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 8 - 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.

Page 13 - 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.

Page 8 - DBC, or CBD ; but, if there be only one angle at a point, it may be expressed by a letter placed at that point ; as the angle at E.