# An Elementary Course of Mathematics: Designed Principally for Students of the University of Cambridge

J. & J.J. Deighton, 1846 - 468 Seiten

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### Inhalt

 Geometrical Progression 64 Binomial Theorem 71 Logarithms 78 Mode of measuring angles 84 Formulć involving more than one angle 95 Solution of Triangles 103 Finding Heights and Distances 114 Circular measure of angles 125 Introduction 129 Ellipse 142 Hyperbola 155 MECHANICS 171 Parallelogram of Forces 178 Any number of Forces acting in one Plane at the same point 185 Action and Reaction of Smooth Bodies 191 Friction 203 DYNAMICS 216 Introduction Velocity uniform and variable measure of Velocity 227 7 235
 Floating Bodies 323 Barometer 329 Airpump 335 The Diving Bell 342 Introduction Experimental Laws 351 Combined Reflexions 363 Combined Refractions 373 Images formed by Reflexion or Refraction 384 On the Eye 390 Refracting Telescopes 396 On the Sphere 411 The Seasons 417 Mode of determining the place of a heavenly Body 423 Methods of finding the Latitude of a place 433 Aberration 441 Proper Motion of the Fixed Stars 448 Tides 454 On the Satellites of the Planets 460 On Comets 467

### Beliebte Passagen

Seite ii - The elementary parts of Astronomy, so far as they are necessary for the explanation of the more simple phenomena, without the use of spherical trigonometry ; astronomical instruments.
Seite 49 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Seite ii - Arithmetic ; and the elementary parts of Algebra : namely, the rules for the fundamental operations upon algebraical symbols with their proofs, the solution of simple and quadratic equations, ratio and proportion, arithmetical, geometrical and liarmouical progression, permutations and combinations, the binomial theorem, and logarithms. The elementary parts of Plane Trigonometry, so far as to include the solution and properties of triangles. T cxcl...
Seite 65 - 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...
Seite 459 - The mean solar day is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.
Seite iii - Honours in the preceding January to have deserved to pass (according to the present standard) for an Ordinary Degree, so far as the Mathematical part of the Examination for such Degree is concerned, shall have afterwards passed in the other subjects of that Examination. (3) Those whose names shall have been placed (according to the present standard) in the first class in the Examination for an Ordinary Degree in the preceding January. (4) Those persons, entitled to Noblemen's Degrees, who shall...
Seite i - That those who are declared to have so acquitted themselves, and no others, be admitted to the Examination in the higher parts of Mathematics ; and that after that Examination, the Moderators and Examiners, taking into account the Examination of all the eight days, shall arrange all the Candidates who have been declared to deserve Mathematical...
Seite 20 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Seite ii - Trigonometry, namely, the composition and resolution of forces acting in one plane at a point, the mechanical powers, and the properties of the centre of gravity.