## A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |

### Inni boken

Side 209

The straight line

that straight line and the circumference from the extremity , so as not to cut the

circle ...

The straight line

**drawn at right angles to the diameter of a circle , from the****extremity of it**, falls without the circle , and no straight line can be drawn betweenthat straight line and the circumference from the extremity , so as not to cut the

circle ...

Side 210

From this it is manifest , that the straight line which is

it only in one point , because , if it did meet the circle in two , it would fall within it ...

From this it is manifest , that the straight line which is

**drawn at right angles to the****diameter of a circle from the extremity of it**, touches the circle ; and that it touchesit only in one point , because , if it did meet the circle in two , it would fall within it ...

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### Vanlige uttrykk og setninger

ABCD altitude axis base body called centre circle circumference common cone consequently contained curve cylinder described diameter difference direction distance divided draw drawn equal equation example expression factors fall feet figure fluxion force four give given greater half Hence inches integral join length less logarithm magnitudes manner measure meet method motion multiplied opposite original parallel parallelogram pass perpendicular plane pole Prob Problem produced projection PROP proportional pyramid quantity radius ratio rays rectangle remaining represent right angles root rule sides similar sine solid space sphere square straight line suppose surface taken tang tangent Theorem third triangle vanishing weight whence Wherefore whole

### Populære avsnitt

Side 174 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...

Side 193 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.

Side 192 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.

Side 198 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Side 194 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

Side 179 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.

Side 211 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...

Side 286 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.

Side 288 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...

Side 181 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.