## The Principles of the Solution of the Senate-house 'riders,' Exemplified by the Solution of Those Proposed in the Earlier Parts of the Examinations of the Years 1848-1851 |

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The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2018 |

The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2015 |

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acts application Arithmetic axis base body Book Cambridge centre circle cloth College common cone constant contains curve describe diameter direction distance divided Draw drawn Edition ellipse English equal equations equilibrium Examples expression extremity feet Fellow fluid focus force formed geometrical given gives greatest Hence horizontal hyperbola inches inclined joining least length meet mirror move Notes observing opposite parabola parallel parallelogram pass perpendicular placed plane position pressure produced projection proportional proposition prove quantity questions radius ratio rays rectangle refraction represent respectively rest resultant right angles sewed shew sides similar solution space square straight line string suppose surface tangent third triangle tube vary velocity vertex vertical volume weight whole

### Popular passages

Page 4 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.

Page 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.

Page 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.

Page 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...

Page 4 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.