## Practical Geometry on an Entirely New Plan ...1867 |

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according adopted apex applicable axis base capacity centre chord circle circumference complete consequently construction contain continued course covering cutting the line diagonal diameter difference direction distance divide division draw draw the arc draw the line drawn effected ellipse entire equal equivalent triangle Euclid Example feet figure foot four geometrically give given ground half height inches indefinite line join knowledge latter length Let abcd longer manner mark mean measure minute mode multiplied object offsets operation parallel parallelogram passing perpendicular perpendicular height placed polygon portion practical proportion radius raise rectangle regards remaining remarks represent right angle rule scale segment shew shewn side of square similar simple sine square steps substituted surface taken taking third three equivalent touch trapezoid triangle yards

### Popular passages

Page 5 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.

Page 5 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees.

Page 66 - Four magnitudes are in harmonical proportion when the first is to the fourth as the difference between the first and second is to the difference between the third and fourth.

Page 66 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...

Page 147 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.

Page 4 - Other polygons include the quadrilateral (4 sides), pentagon (5 sides ) , hexagon ( 6 sides ) , heptagon ( 7 sides ) , octagon ( 8 sides ) , nonagon ( 9 sides ) , decagon ( 10 sides ), and dodecagon ( 12 sides).

Page 148 - The axis of a solid is a line drawn from the middle of one end to the middle of the opposite end ; as between the opposite ends of a prism.

Page 112 - To ßnd the area of a triangle. Rule 1. Multiply the base by the perpendicular height, and take half the product for the area. Or multiply either of these dimensions by half the other.

Page 27 - BI includes a short horizontal line between stanzas 1 and 2, 3 and 4, 5 and 6, and 7 and 8.

Page 2 - A Right angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.