### Contents

 Section 1 1 Section 2 8 Section 3 107 Section 4 167 Section 5 7 Section 6 8 Section 7 Section 8
 Section 12 18 Section 13 22 Section 14 23 Section 15 25 Section 16 26 Section 17 33 Section 18 34 Section 19 76

 Section 9 1 Section 10 2 Section 11 9
 Section 20 86 Section 21 112 Section 22 114

### Popular passages

Page 5 - To draw a straight line perpendicular to a given straight line from a given point without it . 26 4.
Page 7 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 14 - ABC be the given rectilineal figure, to which the figure to be described is required to be similar, and D that to which it must be equal. It is required to describe a rectilineal figure similar to ABC, and equal to D. Upon the straight line BC describe (cor.
Page 166 - Review is to be conducted, and it may be of interest to the members of the Society to have these presented in outline.
Page 9 - Find an expression for the area of a triangle in terms of the coordinates of its angular points.
Page 9 - SEGMEBTT of a circle being given to describe the circle of which it is the segment.* Let ABC be the given segment of a circle ; it is required to describe the circle of which it is the segment.
Page 60 - must be ranked as one of the retarders of quaternion progress, in virtue of his pamphlet on Vector Analysis; a sort of hermaphrodite monster, compounded of the notations of Hamilton and Grassmann.
Page 76 - ... the sum of the squares on half the line and on the line between the points of section*.
Page 24 - The circle which passes through the middle points of the sides of a triangle touches the four circles which touch the three sides.
Page 67 - Va/3 than any which depend on the definition of a quaternion, will appear in a strong light if we try to extend our formulae to space of four or more dimensions. It will not be claimed that the notions of quaternions will apply to such a space, except indeed in such a limited and artificial manner as to rob them of their value as a system of geometrical algebra.