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

G. B. Whittaker, 1825 - 372 „š «Š’›Õ«

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 ELEMENTS OF EUCLIDBook XI xi GLOSSARY OF TERMS xvi PRACTICAL GUNNERY xvi ASTRONOMY xxvi ON FUNCTIONS 97 FACTORIALS 108 ON LIFE ANNUITIES 120 CONVERGENCY OF SERIES 149
 THE INVERSE METHOD OF FLUXIONS 502 502 ON THE QUADRATURE OF CURVES 508 On the Curvilinear Surfaces of Solids of Revolution 514 514 PRACTICAL GEOMETRY 501 520 PERSPECTIVE Plate 1 to face 526 PERSPECTIVE Part I 519 542 5 547 PROJECTION OF A SPHERE IN PLANO 347 551

 ELEMENTS OF EUCLIDBook I 159 PLANE TRIGONOMETRY 34 5 344 Triangles 393 Origin and General Equation of the Conic Sections 404 OF THE ELLIPSE 410 OF THE HYPERBOLA 4 18 418 OF SEVERAL OTHER CURVES 426 FLUXIONS 437 OF THE INVERSE METHOD OF FLUXIONS 467
 GNOMONICAL PROJECTION OF THE SPHERE 564 PRACTICAL CONSTRUCTION OF MAPS 577 DIALLING 591 MENSURATION 608 Of Measuring Irregular Surfaces and Solids 640 Of Measuring Timber 646 LAND SURVEYING 651 GAUGING 663 MECHANICS 673

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«Š’›Õ… 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...Ģ
«Š’›Õ… 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.Ģ
«Š’›Õ… 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.Ģ
«Š’›Õ… 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.Ģ
«Š’›Õ… 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 ēwith 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.Ģ
«Š’›Õ… 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.Ģ
«Š’›Õ… 211 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...Ģ
«Š’›Õ… 286 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.Ģ
«Š’›Õ… 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...Ģ
«Š’›Õ… 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.Ģ