## New series of The mathematical repository, Volume 6 (Google eBook) |

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### Common terms and phrases

axes axis base bisected body centre of gravity circle co-ordinates cone conic section conic surface cosec curve demonstration denote determine diameter differential directrix distance draw drawn Edward Sabine ellipse enquiry equal equation expression figure force formula function gauche generatrix Gentleman's Diary Geometry give given line Godward hence horizontal hyperbola inscribed integral intersection join Lemma locus loxodrome mathematical meet Memoire method motion obtain ordinates parabola parallel pass perpendicular Peter Barlow plane Prop properties proposition quantities QUESTION radical axis radius rect rectangle respectively result right angles Scoulton Second Solution shew sides solid sphere spherical square straight line substituted suppose surface T. S. DAVIES tangent tetrahedron theorem tion transversals triangle values velocity vertical

### Popular passages

Page 220 - A short Account of Experiments and Instruments depending on the Relations of Air to Heat and Moisture.

Page 237 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...

Page 25 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.

Page 17 - Cor. 10.) 7. A ladder rests with one end on a smooth horizontal plane, and the other against a smooth vertical wall; find the horizontal force at its foot which will keep it at rest; and when the force is removed determine its motion. 8. Find experimentally the refracting power of any transparent substance.

Page 19 - Define specific gravity, and give a method by which the specific gravity of a body lighter than the fluid in which it is weighed may be found. A piece of metal whose weight in water is 12 ounces is attached to a piece of wood which weighs 16 ounces in vacuo, and the weight of the two in water is 8 ounces ; find the specific gravity of the wood.

Page 8 - If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the first two; the plane which passes through these is parallel to the plane passing through the others.

Page 27 - A body acted on by gravity descends in a straight line : find the space described in a given time, and prove that it is equal to half the space which would be described in the same time with the last acquired velocity continued uniform.

Page 21 - If a body acted upon by gravity be projected in a medium the resistance of which varies as the square of the velocity...

Page 54 - An Account of a Series of Experiments Made with a View to the Construction of an Achromatic Telescope with a Fluid Concave Lens, Instead of the Usual Lens of Flint Glass. In a Letter Addressed to Davies Gilbert, Esq. MP President of the Royal Society.

Page 44 - If a solid angle be contained by three plane angles, any two of them are greater than the third.