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

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### Common terms and phrases

AC² algebraical axis bisects body called celestial sphere centre of gravity circle Conic Sections Conics consider convex convex lens cos² curvature curve cycloid described determine diameter direction distance draw earth ecliptic ellipse equal equation equilibrium figure fluid focal length focus formula fraction geometrical given greater Hence horizontal hyperbola incident indefinitely latus rectum least common multiple Lemma lens logarithms magnitude measure mirror moon motion multiplied observed orbit parabola parallax parallel parallelogram particle perpendicular piston plane position pressure produce PROP proposition pully quantity radius ratio reflected ray reflexion refraction respectively root sides similar triangles sin² specific gravity square star straight line subtracted suppose tangent telescope trigonometrical functions ultimately velocity vertical vulgar fraction W₁ W₂ weight

### Popular passages

Page iv - 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.

Page 51 - 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.

Page iv - 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...

Page 67 - 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...

Page 461 - The mean solar day is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.

Page v - 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...

Page i - Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By HARVEY GOODWIN, DD, Lord Bishop of Carlisle.

Page iii - 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...

Page 22 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page iv - 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.