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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 272
by Benjamin Greenleaf - 1868 - 320 pages
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...of the sector having the same arc with the segment by the last problem. Find also the area contained by the chord of the segment, and the radii of the sector. Then take the difference of these two when the segment is less than a semicircle for the area of the segment,...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...1st. Find the area of the sector having the same arc with the segment, by the last problem. 2d. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3d. If the segment is greater than the semicircle, add the two areas...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...RULE I. Find the area of the sector having the same arc with 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 sum of these two for the answer, when the segment is greater...
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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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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS ran BAKE ARC, AND ALSO THE AREA OF A TRIANGLE FORMED BT 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...
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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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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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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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