Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

THE

ELEMENTS OF GEOMETRY,

SYMBOLICALLY ARRANGED.

PUBLISHED BY COMMAND OF THE LORDS COMMISSIONERS

OF THE ADMIRALTY,

FOR THE USE OF THE BOYS OF THE ROYAL HOSPITAL SCHOOLS,

GREENWICH.

SECOND EDITION.

L O N D ON:

JOHN MURRAY, ALBEMARLE STREET.

1846.

916.

GEOMETRY is divided into Plane and Solid Geometry. The former is confined to the consideration of the properties of Space within the same plane, and the latter to the relations that exist between different Planes or Surfaces, or of the Solids which these describe or terminate. In this book, the points, lines, and surfaces are all considered to be in the same plane; and the text of the first books of Euclid has been adbered to as closely in this little work as its symbolical form, and the object for which it is intended, will admit of.

The Learner is earnestly recommended to repeat distinctly to himself, each step in the demonstrations of the propositions ; and moreover to refer to the propositions upon which the proofs depend. He will thus acquire a facility of not only writing down the propositions with neatness and accuracy; but also, when called upon to demonstrate them by word of mouth, of expressing himself in clear and intelligible language.

[ocr errors]

THE

ELEMENTS OF GEOMETRY.

[ocr errors]

се

[ocr errors]
[ocr errors]

ABBREVIATIONS. adj. signifies adjacent. i. e. signifies that is. ах. , axiom.

isosc.

isosceles. circumfer.

oppo. opposite. ence.

post. postulate. cr.

centre. const.

Şproduce. construction.

prod.

produced. def. definition.

prop. proposition. descr. describe.

pt.

point. diam. diameter. rect.

rectangle. dist.

distance. rectilin. rectilineal. ea. to ea. each to each. rem.

remainder. equilateral rt.

right. ext. exterior.

seg.

segment. fig.

square. hyp. hypothesis. str.

straight. interior. viz.

namely.

[ocr errors]
[ocr errors]
[ocr errors]

equilat. »

» figure.

sq.

[ocr errors]
[merged small][ocr errors][merged small][merged small][ocr errors][ocr errors][ocr errors][ocr errors][ocr errors][ocr errors][merged small]

G E O M E TRY.

DEFINITIONS.

I.

A point is that which has position, but not 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 between

its extreme points.

[ocr errors]

A superficies is that which has 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.

« ΠροηγούμενηΣυνέχεια »