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### Innhold

 G E W E R A L Principles 1 Roman JWotation 7 JMultiplication 13 JReduction 23 Compound Addition 32 Multiplication 38 Golden Rule or Rule of Three 44 Wulgar Fractions 51
 Iivision 188 Involution 199 Surds 206 Infinite Series 213 Piling of Balls 223 Simple Equations 230 Quadratic Equations 249 Resolution of Cubic and Higher Equations 257

 Addition of Vulgar Fractions 61 JAddition of Decimals 67 JMultiplication of Decimals 68 Rule of Three in Decimals 76 CONTENTS 77 To erfract the Cube Root 85 Ratios Proportions and Progressions 110 Geometrical Progression 116 Double Fellowship 122 illigation Medial e 129 Single Position 135 Practical Questions 150 To compute Logarithms 159 Multiplication by Logarithms 167 Addition 175 JMultiplication 181
 Simple Interest 266 Definitions 275 MariomsTheorems 281 of Ratios and Proportions 319 Of Planes and SolidsDefinitions 336 Problems 353 Applications of Mſgebra to Geometry 369 Plane Trigonometry 377 Heights and Distances 393 JMensuration of Planes 402 JMensuration of Solids 419 Land Surveying 429 Artificers Works 457 Equations of the Curve 532 Problems relative to the Division of Surfaces 558 Construction of Geometrical problems 57 1 571

### Populµre avsnitt

Side xiv - The sum of the three angles of any triangle is equal to two right angles, this is a . Theorem, the truth of which is demonstrated by Geometry.
Side 434 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 273 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Side 21 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or ¦ . 12 Ounces = 1 Pound, . . Ib., or ft,.
Side 242 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Side 330 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Side 51 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Side 281 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Side 371 - The measure of any angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Side 243 - RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other...