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" The exact length of the base being ascertained, and a system of triangles built upon it adapted to and covering the country to be surveyed, the lengths of all the other sides of the triangles in the system are inferred from the familiar theorem that "... "
A System of the Mathematics: Containing the Euclidean Geometry, Plane ... - Page 65
by James Hodgson - 1723
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A Mathematical Dictionary: Or; A Compendious Explication of All Mathematical ...

Joseph Raphson, Jacques Ozanam - Mathematics - 1702 - 200 pages
...prcmife fome things rieceffarv to be known, in order to the more pejfed Underr Handing them. i. In every Triangle there are fix Parts, Viz. three Sides, and three Angles, any three whereof being given (except the three Angles) the other three may be found by a Trigonometrical Calculation....
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1738 - 458 pages
...the Sum or Difference of the Radius and Co-fine is equal to the Verfed fine. .In a Triangle arèiîx Parts, viz. three Sides and three Angles : Any three of which being given, except the three Angles of a plane Triangle, the other three may be found either mechanically,...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward - Mathematics - 1747 - 492 pages
...Quadrant, the Sum or Difference of the Radius and Co-fine is equal to the Verfed Sine. In a Triangle are fix Parts, viz. three Sides and three Angles : Any three of which being given, except the three Angles of Plane Triangle, the other three may be found either Mechanically,...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...right angle or 90°; in the latter they are all oblique. . Гп every plane, triangle there are six parts, viz. three sides and three angles; any three of which being given (except the three' angles) the othnr three may be found by various methods, viz. by (Jiintcr's...
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The Complete Mathematical and General Navigation Tables: Including ..., Volume 1

Thomas Kerigan - Nautical astronomy - 1828 - 776 pages
...is a right angle, or 90? ; in the latter they are all oblique. Every plane triangle consists of six parts ; viz., three sides and three angles ; any three of which being given (except the three angles), the other three may be readily found by logarithmical calculation....
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...is a right angle, or 90? ; in the latter they are all oblique. Every plane triangle consists of six parts ; viz., three sides and three angles ; any three of which being given (except the three angles), the other three may be readily found by logarithmical calculation....
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...the different cases of Right-angled Plane Trigonometry depends. Every plane triangle consists of six parts, viz, three sides and three angles ; any three of which being given, except the three angles, the other three may be found by logarithm ical calculation. The three...
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New American Practical Navigator

Nautical astronomy - 1880 - 880 pages
...a right angle, or 90°; in the latter, they are all oblique. In every plane triangle there are six parts, viz. three sides and three angles; any three of which being given (except the three angles), the other three may lie found by various methods, viz. by Gunter's...
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Van Nostrand's Engineering Magazine, Volume 35

Engineering - 1886 - 542 pages
...system are inferred from the familiar theorem that " every triangle has six elements or functions, viz., three sides and three angles, any three of which being known (one being a side), the other unknown elements may be computed" with a degree of precision of the same...
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Science, Volume 7

John Michels (Journalist) - Science - 1886 - 718 pages
...system are inferred from the familiar theorem that " every triangle has six elements or functions, — viz., three sides and three angles, — any three of which being known (one being a side), the other unknown elements may be computed " with a degree of precision of the...
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