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THE FIRST THREE BOOKS
FROM THE TEXT OF DR. ROBERT SIMSON,
VARIOUS USEFUL THEOREMS AND PROBLEMS,
AS GEOMETRICAL EXERCISES ON EACH BOOK.
BY T. TATE, F. R. A.S.,
“ THE PRINCIPLES OF THE DIFFERENTIAL CALCULUS," “ OUTLINES OP
EXPERIMENTAL CHEMISTRY," " THE FIRST PRINCIPLES OF
A RITHMETIC, EXERCISES ON MECHANICS," ETC.
ELEMENTS OF GEOMETRY.
I. A POINT is that which hath no parts, or which
hath no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight line is that which lies evenly be
tween its extreme points. V. A superficies is that which hath only length and
breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two
points being taken, the straight line between
them lies wholly in that superficies. VIII. “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.” IX. 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.