Books Books 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 ## A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

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... ## High School Arithmetic

James B. Dodd - 1853 - 402 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... ## A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1854
...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... ## Elements of Plane and Spherical Trigonometry: With Their Applications to ...

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... ## A Treatise of Plane Trigonometry,and the Mensuration of Heights 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... ## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 336 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... ## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

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... ## The Mechanic's Text-book and Engineer's Practical Guide ...

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... ## Mensuration and Practical Geometry: Containing Tables of Weights and ...

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... 