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

### Contents

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### Common terms and phrases

algebraic algebraic quantities altitude angle ABC axis base bisect body centre circle ABCD circumference co-efficient cone conic sections consequently contained cube curve cylinder denominator described dial diameter difference distance divided draw ellipse equal angles equation equimultiples Examples figure fluxion fore fraction frustrum geometrical geometrical progression greater Hence hyperbola integral intersection less magnitudes meridian motion multiplied parallel parallelogram parallelopiped perpendicular plane pole prism Prob produced projection proportional Proposition pyramid Q. E. D. PROP quadratic equations quotient radius ratio rectangle rectilineal right angles right line Scholium segment sides similar sine solid solid angle sphere spherical triangle subtract suppose surd tang tangent Theorem tiple triangle ABC unknown quantity vanishing line vanishing point velocity vertex weight whence Wherefore

### Popular passages

Page 168 - 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...

Page 187 - 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.

Page 186 - 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.

Page 192 - 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.

Page 188 - 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.

Page 173 - 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.

Page 205 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...

Page 280 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.

Page 282 - 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...

Page 175 - 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.