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" ... greater than the third side. h. Two angles are equal when their sides are respectively perpendicular ; but we must be careful to take the sides of the respective angles in the same order, and to measure the angles in the same direction, (v. § 14.)... "
The Elements of Plane Trigonometry - Page 15
by Henry Nathan Wheeler - 1878 - 112 pages
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...from one extremity of the arc to the other. Thus bn is the chord of the arc bu, or of the arc HAFBni. The chord of an arc of 60° is equal to the radius of the circle.* (H) The complement of any arc is the difference between that arc and a quadrant. Or...
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Minutes of Proceedings of the Institution of Civil Engineers, Volume 90

Institution of Civil Engineers (Great Britain) - Civil engineering - 1887 - 642 pages
...accurately can the angles be plotted if a greater multiple of 57 • 3 millimetres bo used as radius. As the chord of an arc of 60° is equal to the radius, that angle can be readily plotted, and angles greater or less can be arranged thus, and easily measured...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...from one extremity of the arc to the other. Thus bn is the chord of the arc In, or of the arc HAFBD&. The chord of an arc of 60° is equal to the radius of the circle.* (96) The complement of any arc is the difference between that arc and a quadrant. Or...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - Nautical astronomy - 1851 - 674 pages
...one extremity of the arc to the other. Thus, NO is the chord of the arc NBO, or of the arc NWMPBO. The chord of an arc of 60°, is equal to the radius of the circle. From these definitions, it is obvious that every degree in the quadrantal arc EM (with...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...arc A M. The •/...'' of a tirth part of the circle is equal to the radius of the circle, that is, the chord of an arc of 60° is equal to the radius. In the construction of the Trigonometrical Lines on the Plane Sea!e, fig. 2, p. 13, vol. iv., the Line...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...chords which form the sides of the regular polygons mentioned above, taking the radius as the unit. The chord of an arc of 60° is equal to the radius. 297. The chord in this case is the sidg of the inscribed hexagon. Join the extremities of the arc to...
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for ..., Volume 5

Encyclopedias and dictionaries - 1868 - 868 pages
...Troughton, and other eminent artists in original graduation. Curved lines are divided on this principle. The chord of an arc of 60° is equal to the radius ; therefore, the opening of the compasses required for striking the circle gives this arc at once to...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...chords which form the sides of the regular polygons mentioned above, taking the radius as the unit. The chord of an arc of 60° is equal to the radius. 297. The chord in this case is the side of the inscribed hexagon. Join the extremities of the arc to...
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 pages
...Because every one of the three angles may be taken for the vertex of an isosceles triangle. THEOREM. 52. The chord of an arc of 60° is equal to the radius of the circle. Let BE (Fig. 49) be the chord of an arc of 60°. Draw the radii CB and CE. Then CBE...
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Bridge and Tunnel Centres

John Bach McMaster - Bridges - 1875 - 140 pages
...this arc of 60° it follows that we must take i? of their weight to express the load on the framing. The chord of an arc of 60° is equal to the radius, and the radius in this case being 10000, the chord will equal 10000, and the arc of 60°, 10472. Hence...
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