### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 Division 16 Reduction ºf Fractions 22 Addition of Fractions 29 Resolution of Simple Equations 39 O Ratios and Proportions 50 Of Involution 59 Rule for extracting the roots of Numbers 68 Questions producing Simple Equations 81
 Of the Collision of bodies 320 of Projectile Motion according to the Parabolic Theory 329 Force and descent on inclined Planes 345 Wheel and Axle 367 Screw 373 Heavy Lever 387 Thickness of the Piers for a semicircular Arch 394 Of the Centres of Percussion Oscillation and Gyration 402

 Question respecting the march ºf Troops 96 Of Indeterminate Problems 109 Qf Diophantine Problems 118 CoN1c Sections 260 To find the content of an ellipsoid 278 Hyperbolic Asymptotes 285 Of the Parabola 291 To find the content of a Paraboloid 300 Mechanics 306 Perpendicular descent and ascent of bodies 314
 Descent of a Cylinder when it rolls 412 HYDRostatics 425 Hydrometer 431 HYDRAulics 441 Method of determining the mean velocity of water in a River or Canal 449 Pelocity with which Air would rush into a vacuum 455 of measuring Heights by the Barometer 462 of the Resistance and Force of Fluids 469 Undershot Waterwheel 475

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 57 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
сЕКъДА 214 - Two partners, A and B, gained ё 140 by trade ; A's money was 3 months in trade, and his gain was ,.ё60 less than his stock; and B's money, which was <ё50 more than A's, was in trade 5 months. What was A's stock ? Ans.
сЕКъДА 294 - Every body continues in its state of rest, or uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
сЕКъДА 84 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
сЕКъДА 234 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
сЕКъДА 45 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents.
сЕКъДА 272 - Fig. 83,84. conjugate diameters is equal to the sum of the squares of the axes ; but in an hyperbola the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the axes.
сЕКъДА 214 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
сЕКъДА 98 - B, where each consisted of as many ranks as it had men in front, was 84; but when the columns changed ground, and A was drawn up with the front that B had, and B with the front that A had, then the number of ranks in both columns was.
сЕКъДА 43 - In any proportion, the product of the means is equal to the product of the extremes.