## New Series of The Mathematical Repository, Volume 5W. Glendinning, 1830 - Mathematics |

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### Common terms and phrases

abscissa axis bisects body centre circle co-ordinates coefficients cone conic section consequently constant cos² curve cycloid described determine diameter direction distance divisor draw drawn ellipse equal equation expression force formula fraction given angle given by position given point given ratio gravity Hence horizontal hyperbola inscribed integral intersection JOHN BAINES latitude latus rectum mathematical method motion multiplying ordinate PALABA parabola parallel perpendicular plane Porism projection prove quantities QUESTION quotient radius respectively right angles roots SECOND SOLUTION shew sides similar triangles sin² sin³ sphere spherical square straight line substituting suppose surface tang tangent theorem tion transformation triangle velocity vertex vertical whence

### Popular passages

Page 36 - Having given the hypotenuse of a right-angled triangle, and the radius of the inscribed circle, to construct the triangle. 33. ABC is a triangle inscribed in a circle, the line joining the middle points of the arcs AB, AC, will cut off equal portions of the two contiguous sides measured from the angle A.

Page 123 - ... in the ratio of the sine of incidence to the sine of refraction (Art. 881.) when the light passes from water into air.

Page 190 - The Principles of Bridges ; containing the Mathematical Demonstrations of the Properties of the Arches, the Thickness of the Piers, the Force of the Water against them, &c. together with practicalObservations and Directions drawn from the Whole.

Page 104 - Nutation of lunar orbit. The action of the bulging matter at the earth's equator on the moon occasions a variation in the inclination of the lunar orbit to the plane of the ecliptic. Suppose the plane N/?

Page 110 - Let any plane DE pass through AB, and let CE be the common section of the planes DE...

Page 97 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage vvaggcn, which was moving at the rate of 9 miles in 4 hours.

Page 49 - In every geometrical progression consisting of an odd number of terms ; the sum of the squares of the terms is equal to the sum of all the terms multiplied by the excess of the odd terms above the even.

Page 130 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.

Page 192 - Calculations to determine at what Point in the Side of a Hill its Attraction will be the greatest.

Page 111 - In any equation in its simplest form the coefficient of the second term is equal to the sum of the roots with their signs changed ; the coefficient of the third term is...