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

G. B. Whittaker, 1825 - Mathematics - 372 pages

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### Contents

 GLOSSARY OF TERMS xi ii INTRODUCTION iii ALGEBRA 1 ON FUNCTIONS 97 FACTORIALS 108 ON LIFE ANNUITIES 120 CONVERGENCY OF SERIES 149 ELEMENTS OF EUCLIDBook I 159
 On the Curvilinear Surfaces of Solids of Revolution 514 514 PRACTICAL GEOMETRY 501 523 PROBLEMS 512 524 PERSPECTIVE Part I 519 542 PROJECTION OF A SPHERE IN PLANO 551 GNOMONICAL PROJECTION OF THE SPHERE 564 PRACTICAL CONSTRUCTION OF MAPS 577 DIALLING 591

 Book II 181 200 ELEMENTS OF EUCLIDBook XI 283 PLANE TRIGONOMETRY 333 CONIC SECTIONS 397 OF THE PARABOLA 407 OF THE HYPERBOLA 418 OF SEVERAL OTHER CURVES 426 FLUXIONS 437 OF THE INVERSE METHOD OF FLUXIONS 467 THE INVERSE METHOD OF FLUXIONS 502 502 ON THE RECTIFICATION OF CURVES 508 508
 MENSURATION 610 LAND SURVEYING 651 GAUGING 663 MECHANICS 673 PRACTICAL GUNNERY 718 HYDRAULICS 729 OPTICS 741 ASTRONOMY 755 TWO HUNDRED MISCELLANEOUS QUESTIONS 778 LOGARITHMS 814

### Popular passages

Page 172 - 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 191 - 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 190 - 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 196 - 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 192 - 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 177 - 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 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Page 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Page 286 - 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 179 - 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.