## A course of practical geometry for mechanics |

### From inside the book

Results 1-5 of 24

Page 22

William Pease. Note . If an angle be

William Pease. Note . If an angle be

**required**to contain more than 90 de ...**necessary**) in G and F. 3. Apply the distance from G to F on the same line of chords ...**triangle**; measure the three angles , and see whether the sum is equal to ... Page 24

... required . When this problem is understood , parts of circles only will be ... Triangle , whose sides shall be equal to any three given right lines , if ...

... required . When this problem is understood , parts of circles only will be ... Triangle , whose sides shall be equal to any three given right lines , if ...

**triangle required**. A B D -E F G H EXAMPLES . Make triangles , whose sides shall ... Page 27

...

...

**required**. D G In any case where there is not room for the work below the line B C , a perpendicular may be obtained ...**triangle**and ruler , if not more than 6 inches long . Those longer than 6 inches should be con- structed by one of ... Page 29

...

...

**required**. The lines A D , BC , may be extended to any distance , and A 1 , may be made any convenient length ...**need**only be used when a parallel ruler , or**triangle**and ruler are not at hand . It will be found of great service c 2 ... Page 31

...

...

**required**; for HN shall bear the same proportion to HM , as HL does to HK . A B E F G M H N This problem is important and valuable beyond descrip- tion . It beautifully illustrates one of the grand properties of the**TRIANGLE**. By it ...### 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.