Thesaurium Mathematicae: Or, The Treasury of the Mathematicks: Containing Variety of Useful Practices in Arithmetick, Geometry, Trigonometry, Astronomy, Geography, Navigation and Surveying. ... To which is Annex'd a Table of L0000 Logarithms, Log-sines and Log-tangents. Illustrated with Several Mathematical Sculptures on Copper-plates

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J. L., 1707 - Mathematics - 364 pages
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Page 12 - If it be required to extract the square root of a vulgar fraction, reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and of the denominator for a new denominator; or, reduce the vulgar fraction to a decimal, and extract its root.
Page 285 - The circumference of every circle, whether great or small, is supposed to be divided into 360 equal parts, called degrees ; and every degree into 60 parts, called minutes ; and every minute into 60 seconds. To measure the inclination of lines to each other, or angles, a circle is described round the angular point as a centre, as IK, Fig.
Page 289 - The declination is an arc of the meridian, intercepted between any celestial object and the equinoctial. 13. Right ascension is that degree of the equinoctial •which comes to the meridian with the sun, moon, or stars, reckoning eastward from the first point of aries ; or it is that degree which comes to the horizon with the sun, moon, or stars, in a right sphere.
Page 204 - ... black. (See Figure 151.) Pomodoro100 has a diagram of a rod, divided according to some unit of length, which carries a square target. Leybourn, describing the process of leveling for the conduction of water, says:101 Place your Water-level at some convenient distance from the Springhead, in a right line towards the place to which the water is to be conveyed, as at 30, 40, 60, or 100 yards distant from the Spring-head. Then having in readiness two long straight poles (which you may call your station...
Page 107 - The Altitude of the Sun- or Stars is the Arch of an Azimuth, contained betwixt the.
Page 106 - The Horizon is a great Circle., 90 Deg. diftant from the Zenith and Nadir •, cutting all the Azimuths at Right-angles, and dividing the World into two equal parts, the upper and viftble Hemifpbere..
Page 207 - Way betwixt the Spring-Head and the Place to which the Water is to be conveyed, you muft then cut a Trench by the fide of the Mountain, in which you muft ky your Pipes equal with •theftraigbt Water-Level^vnth the former Allowance : And...
Page 108 - The Parallax is the difference between the true and apparent place of the Sun or Star.
Page 81 - That the three Sides of a Spherical Triangle , are Parts or Arches of three great Circles of a Sphere...
Page 106 - Azimuths or Vertical Circles are great Circles of the Sphere, concurring and interfedling each other in the Zenith and Nadir-, asZfN.

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