# 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

 ELEMENTS OF EUCLID_Book xi GLOSSARY OF TERMS xii ALGEBRA xvi Definitions 1 Multiplication 7 Involution 19 Simple Equations 28 Resolution of Cubic and Higher Equations 36
 FLUXIONS 437 OF THE INVERSE METHOD OF FLUXIONS 467 THE INVERSE METHOD OF FLUXIONS 502 ON THE RECTIFICATION OF CURVES 508 On the Curvilinear Surfaces of Solids of Revolution 514 PRACTICAL GEOMETRY 520 512 520 PERSPECTIVE Part I 542

 Ratios or Proportion 67 Progression 78 On Surds 85 On the method of finding Multipliers which shall 91 ON FUNCTIONS 97 FACTORIALS 108 ON LIFE ANNUITIES 120 CONVERGENCY OF SERIES 149 ELEMENTS OF EUCLIDBook I 159 Book II 189 PLANE TRIGONOMETRY 344 Triigonometry applied to Heights and Distances 361 CONIC SECTIONS 397 Origin and General Equation of the Conic Sections 404 OF THE ELLIPSE 410 OF THE HYPERBOLA 418 OF SEVERAL OTHER CURVES 426
 PROJECTION OF A SPHERE IN PLANO 549 GNOMONICAL PROJECTION OF THE SPHERE 564 PRACTICAL CONSTRUCTION OF MAPS 577 DIALLING 591 MENSURATION 607 LAND SURVEYING 651 GAUGING 663 MECHANICS 673 PRACTICAL GUNNERY 718 HYDRAULICS 729 OPTICS 741 TWO HUNDRED MISCELLANEOUS QUESTIONS 778 LOGARITHMS 867 790 223 3 PERSPECTIVE Plate 1 to face PROJECTION OF 5 706 12

### Popular passages

Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 211 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Page 286 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Page 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...
Page 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.