| Jeremiah Day - Mathematics - 1853 - 288 pages
...To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC, **AND ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE** THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THK AREA OF... | |
| James B. Dodd - 1853 - 398 pages
...The Area of a Segment of a circle is equal to the area of the sector having' the same arc, + or — **the triangle formed by the chord of the segment and the radii of the sector,** according as the segment is greater or less than a semicircle. The demonstration of the preceding propositions... | |
| Jeremiah Day - Geometry - 1854 - 434 pages
...To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC, **AND ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD...AND THE RADII OF THE SECTOR. THEN, IF THE SEGMENT** BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. BUT, IF... | |
| Elias Loomis - Trigonometry - 1855 - 192 pages
...To find the area of a segment of a circle. RULE. Find the area of the sector which has the same arc, **and also the area of the triangle formed by the chord of the segment and the radii of the sector.** It is obvious that the segment AEB is equal to the sum of the sector ACBE and the triangle ACB, and... | |
| Jeremiah Day - Logarithms - 1855 - 344 pages
...the circle 113, what is the area of the sector ADBC ? PROBLEM VI. SAME ARC, AND ALSO THE AREA OF A **TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR, THEN, IF THE SEGMENT** BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. BUT, IF... | |
| Charles Davies - Geometry - 1855 - 340 pages
...circleRULE I Find the area of the sector having the same arc with the segment, by the last ProblemII Find **the area of the triangle formed by the chord of the segment and the** two radii through its extremitiesAPPLICATIONS Mensuration of SurfacesEXAMPLES 1 What is the area of... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...segment, we have this RULE. Find the area of a sector which has the same arc as the seaU t/ ment ; **also, the area of the triangle formed by the chord of the segment and the radii of the sector. Then** take the sum of these areas when the segment exceeds the semicircle, and their difference when it is... | |
| Mechanical engineering - 1855 - 420 pages
...sector whose arc is equal to that of the given segment ; and if it be less than a semicircle, subtract **the area of the triangle formed by the chord of the segment and** radii of its extremities ; but if more than a semicircle, add the area of the triangle to the area... | |
| Charles Haynes Haswell - Measurement - 1858 - 350 pages
...ab c, Fig. 27. RULE — Find the area of the sector having the same arc as the segment ; then find **the area of the triangle formed by the chord of the segment and the radii of the sector,** and the difference of these areas will be the area required. NOTE. — Subtract the versed sine from... | |
| Frederick Augustus Griffiths - 1859 - 422 pages
...the area of the segment of a circle. Find the area of the sector, by the preceding rule. Then find **the area of the triangle formed by the chord of the...and the radii of the sector. Then, if the segment** be less than a semicircle, subtract the area of the triangle from it ; or, if the segment be greater... | |
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