 | Oliver Welch - 1812 - 236 σελίδες
...to measure whteh.. measure the sector ABCD by case 11, and also meus 02 r ure the triangle ADC, and subtract the area of the triangle from the area of the sector ; and the remainder will be tiie area of the segment AB C. \ Examples. » \. What is the area of the... | |
 | William Hawney - 1820 - 336 σελίδες
...whole sector CADBC by Section XII. and then (by Section V.) find the area of the triangle ABC, and subtract the area of the triangle from the area of the sector, the remainder will be the area of the segment. If the segment be greater than a semicircle, add the... | |
 | Beriah Stevens - 1822 - 436 σελίδες
...and perpendicular height 34, found by subtracting the versed sine BD from half the diameter ; then subtract the area of the triangle from the area of the sector, and the remainder will be the area of the segment ABC. See the work. 104=BC B 2 208 172= 12 208 add.... | |
 | Jeremiah Day - 1824 - 440 σελίδες
...ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN, w THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE...AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. BlJT, IF THE SEGMENT BE GREATER THAN A SEMI-CIRCLE, ADD THE AREA OF THE TRIANGLE TO THE AREA OF THE... | |
 | James L. Connolly (mathematician.) - 1829 - 266 σελίδες
...and multiply the half chord by the perpendicular, and the product is the area of the triangle. Then subtract the area of the triangle from the area of the sector, and the remainder is the area of the segment. Let it be required to find the area of the segment of... | |
 | Jeremiah Day - 1831 - 520 σελίδες
...ARC, AND ALSO THE AREA OF THE 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...AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. BlJT, IF THE SEGMENT BE GREATER THAN A SEMI-CIRCLE, ADD THE AREA OF THE TRIANGLE TO THE AREA OF THE... | |
 | James L. Connolly (mathematician.) - 1835 - 264 σελίδες
...and multiply the half chord by the perpendicular, and the product is the area of the triangle. Then subtract the area of the triangle from the area of the sector, and the remainder is the area of the segment. Let it be required to find the area of the segment of... | |
 | Jeremiah Day - 1836 - 418 σελίδες
...SECTOR WHICH HAS THE SAME ARC, AND ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEOMENT AND THE RADII OF THE SECTOR. I THEN, IF THE SEGMENT...the sector AOBC, it is evident the difference will he the segment AOBP, less than a semi-circle. And if the same triangle be added to the sector ADBC,... | |
 | 1836 - 488 σελίδες
...and also the area of the triangle formed by the chord of the segment, and the radii of the sector. Then, if the segment be less than a semicircle, subtract...be greater than a semicircle, add the area of the trian, gle to the area of the sector. To find the area of a circular zone. From the area of the whole... | |
 | B[enjamin] Franklin Callender - 1836 - 226 σελίδες
...19.4X2=36.8, the area of the triangle ABC. 126.126—38.8=37.326, area of the segment ADC. If the segment is greater than a semicircle, add the area of the triangle to the area of the sector. Length of the arc ABC 64.704. Half the radius 8.5. 64.704X8.5=549.984, the area of the sector ABC D.... | |
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THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. 
