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" 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. Then... "
A Practical System of Mensuration of Superficies and Solids ... - Page 53
by J. M. Scribner - 1844 - 123 pages
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The Practical Engineer's Pocket Guide: Containing a Concise Treatise on the ...

Mechanical engineering - 1847 - 190 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...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...1. Find the area of the sector, having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. 3. Then the sum, or difference, of these areas, according as the segment is greater or less than a...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...a circle. RULE.—1. Find the area of the sector having the same arc, oy the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii of the sector. 3. Then add these two together for the answer when the segment is greater...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...— Find the area of the sector having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3. If the segment is greater than the semicircle, add the two areas...
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The Mechanic's Text-book and Engineer's Pocket Guide: Containing a Concise ...

Thomas Kelt - Mechanical engineering - 1849 - 424 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...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...Find the area of the sector having the same arc with the segment, by the last Problem. O ' J II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...I. Find the area of the sector having the same are with the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...113, what is the area of the sector ADBC ? PROBLEM VI. To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AJJD THE RADII OF THE SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1851 - 310 pages
...circle. — Find the area of the sector, having the same arc with the segment, by the last problem. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. Then the sum, or difference, of these areas, according as the segment is greater or less than a semicircle,...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...Areas, page 72.) RULE 1. — Find the area of the sector having the same arc with 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, according as the segment is greater or less than a semicircle, will...
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