Students are advised to omit every article that is marked with an asterisk.

A double asterisk has been placed before those articles which should be omitted by all Students until they are reading the subject for the second time.

An Appendix containing a description of the Vernier, the Theodolite, the Sextant etc. has been added.

A Key by Mr CARR is now ready.

Draw GK perpendicular to EF; the angle turned through by EF
in any movement, is equal to the angle turned through by GK; and
the angle QGC is always double of KGQ'; therefore the amount of
turning of GQ relative to GC (which is fixed) is double that of GK
relative to GB; that is is double of the amount of turning of EF.

XX.

ON THE AREA OF THE CIRCLE, THE CONSTRUCTION

OF TRIGONOMETRICAL TABLES, ETC.

APPENDIX

EXAMPLES FOR EXERCISE

EXAMINATION PAPERS

ANSWERS TO EXAMPLES

241

Students are advised to omit every article that is
marked with an asterisk.

A double asterisk has been placed before those

articles which should be omitted by all Students

until they are reading the subject for the second

time.

An Appendix containing a description of the

Vernier, the Theodolite, the Sextant etc. has been

added

X.

ON ANGLES UNLIMITED IN MAGNITUDE. I.

XI. ON THE RATIOS OF Two ANGLES

101

117

XII.

ON THE RATIOS OF MULTIPLE ANGLES

XIII. ON ANGLES UNLIMITED IN MAGNITUDE. II.

XIV. ON LOGARITHMS

133

144

161

XV.

ON THE USE OF MATHEMATICAL TABLES

177

XVI. ON THE RELATIONS BETWEEN THE SIDES AND ANGLES

XX. ON THE AREA OF THE CIRCLE, THE CONSTRUCTION