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ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Elements of Geometry: With Practical Applications to Mensuration - Page 274
by Benjamin Greenleaf - 1868 - 320 pages

## Elements of Plane and Spherical Trigonometry

Elias Loomis - Logarithms - 1865 - 386 pages
...the area of a segment of a circle. RULE. Find the area of the sector which has the same arc, and nlso the area of the triangle formed by the chord of the segment and the radii of the sector. 70 • TRIGONOMETRY. \ It is obvious that the segment AEB is equal to the sum of the sector ACBE and...

## Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 172 pages
...RULE I. — Find the area of a sector having the same arc as the segment, by the last problem ; find also the area of the triangle, formed by the chord of the segment and the two radii of the sector : then the difference of these two areas is the area of the segment. See Note...

## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...To find the area of a SEGMENT of a circle. ffind the area of the sector having- the same arc ivith the segment, and also the area of the triangle formed...difference of these areas ; but if greater, take their sum. 647. Scholium. When the height of the segment and the diameter of the circle are given, the area may...

## A Practical Workshop Companion for Tin, Sheet Iron, and Copper Plate Workers...

Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...sector whose arc is equal to that of the given segment, and if it be less then 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 of...

## Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...have the following RULE. find the area of a sector which has the same arc as the segment ; also tlie area of the triangle formed by the chord of the segment, and the radii of the sector. Then take the difference of these areas when the segment is less than a semicircle, and the sum when it...

## The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 294 pages
...The AREA OF A SEGMENT is found as follows: RULE.—Find the area of the sector having the same arc, and also the area of the triangle formed by the chord of the segment and the radii of the sector. If the segment is greater than a semicircle, add the two areas ; if less, subtract them. 1. Required...

## Elementary and Practical Instructions on the Science of Railway Construction

Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 pages
...RULE I. — Find the area of a sector having the same arc as the segment, by the last problem ; find also the area of the triangle formed by the chord of the segment and the two radii of the sector : then take the difference of these two areas, when the arc is less than a...

## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...triangle AEB. Hence, we have the following RULE. Find the area of the corresponding sector, and also of the triangle formed by the chord of the segment and the two extreme radii of the sector ; subtract the latter from the former when the segment is less than...