## An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |

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Page 1

In the system of which we are about to treat , the position of a point in a

be determined by the ratios of its distances from three given straight lines in that

In the system of which we are about to treat , the position of a point in a

**plane**willbe determined by the ratios of its distances from three given straight lines in that

**plane**, these straight lines not passing through the same point . The triangle ... Page 16

... B , y , or , in other words , that the two straight lines represented by them do not

intersect , which is known to be a necessary condition of their parallelism , and

also a sufficient condition , since the two straight lines are in the same

... B , y , or , in other words , that the two straight lines represented by them do not

intersect , which is known to be a necessary condition of their parallelism , and

also a sufficient condition , since the two straight lines are in the same

**plane**. Page 138

Also the two points in which any generating line is cut by two

be the projections , the one of the other . It may easily be seen that the projection

of any curve on a given

Also the two points in which any generating line is cut by two

**planes**are said tobe the projections , the one of the other . It may easily be seen that the projection

of any curve on a given

**plane**coincides with the shadow of the curve which ... Page 139

one another , as also those of AD , BC , whence it follows that the quadrilateral

ABCD is projected into a parallelogram . 11. The angle EVF will be the angle

between the projections of the sides AB , BC . For if the

...

one another , as also those of AD , BC , whence it follows that the quadrilateral

ABCD is projected into a parallelogram . 11. The angle EVF will be the angle

between the projections of the sides AB , BC . For if the

**plane**of projection cut the...

Page

Crown 8vo . 38. 6d . A SHORT MANUAL OF ARITHMETIC . By C. W.

UNDERWOOD , M.A. 96 pp . ( 1860 ) . Fcp . 8vo . 28. 6d . ELEMENTARY

MATHEMATICAL SERIES . II . TRIGONOMETRY .

.

Crown 8vo . 38. 6d . A SHORT MANUAL OF ARITHMETIC . By C. W.

UNDERWOOD , M.A. 96 pp . ( 1860 ) . Fcp . 8vo . 28. 6d . ELEMENTARY

MATHEMATICAL SERIES . II . TRIGONOMETRY .

**PLANE**TRIGONOMETRY 2 78.

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### Common terms and phrases

angle angular points appears Author become BOOKS called Cambridge centre Chap chapter chord circle cloth co-ordinates coefficients coincide College common condition conic conic section considered constant corresponding Crown 8vo curve denoted described determine distance draw drawn eliminating equal equation Examples expressed find the equation fixed point focus follows given point given straight line gives harmonic Hence imaginary line at infinity locus meet observed obtained opposite sides pair parabola parallel passing pencil perpendicular point of intersection points of contact polar pole positive produced projection prove ratio reciprocal relation represented respect result right angles satisfy Schools second degree sides similar Similarly student taken tangents term theorem third three points tion touch Treatise triangle of reference values whence writing written