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

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An Elementary Course of Mathematics: Designed Principally for Students of ... Harvey. Goodwin No preview available - 2015 |

### Common terms and phrases

according acting angle appears applied axis become body called centre circle coincide common Conics consequence consider curve described determine diameter direction distance divided draw earth ecliptic equal equator expression fact fall figure fixed fluid focus force given gravity greater Hence horizontal incident increases indefinitely join length lens less light limit manner means measure meet mirror moon motion move object observation opposite parallel particle passing pencil perpendicular plane portion position preceding pressure principle produce Prop proposition quantity ratio rays reflected refraction represented respectively result seen sides similar space sphere square star suppose surface tangent telescope triangles true ultimately velocity vertical weight whole

### Popular passages

Page 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.

Page 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.

Page 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...

Page 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...

Page 459 - The mean solar day is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.

Page 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...

Page 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...

Page 20 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 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.