· A point, my boys, is that which has no length, breadth,
or dimension.
-- A line has length, and yet is but a point drawn in extension.
All lines have names expressing some distinguishing particular.
As: horizontal, parallel, oblique, and perpendicular.
_Chorus of Pupils._ Oh! dear! oh!
A pretty science mathematics is to know.
The lines called parallel are those which, drawn in one direction,
Continued to infinity, will never make bisection.
The thing perhaps sounds odd, but if you entertain a doubt, boys,
I’ll draw the lines, ====== now take your slates, and work the
problem out, boys.
_Chorus of Pupils._ Oh! dear! no!
We readily believe it, Sir! since _you_ say so!
155. In this figure rub out eight lines, and leave two squares. No side
nor angle of any square must be left, otherwise that will be counted as
a square.
[Illustration]
156. A and B travelled by the same road, and at the same rate from
Tamworth to Sydney. A overtook a flock of sheep, which travelled at
the rate of three miles in two hours, and two hours after he met a
mail coach, which travelled at the rate of nine miles in four hours.
B overtook the flock 45 miles from Sydney, and met the coach 40
minutes before he came to the 31-mile post from the Metropolis. Where
was B when A reached Sydney?