 | Thomas Liddell Ainsley - 1880 - 866 σελίδες
...circle bounded by an arc and two radii. 221. To find the length of an arc. EULE LXX. From eight time» the chord of half the arc subtract the chord of the whole are, and take one-third the remainder for the length of the arc, nearly. 222. To find the area of the... | |
 | Henry H. Hutton - 1882 - 178 σελίδες
...18.75. EXERCISE xv. of the whole arc 38 feet; what is the length of the arc ? Special Rule. From eight times the chord of half the arc subtract the chord of the whole arc; one-third of the remainder will give the arc, nearly. %. The chord of an arc is 6 feet and the chord... | |
 | John Perry - 1883 - 486 σελίδες
...146 Circumference of a circle. — Multiply the diameter by 3 -1416. Arc of a circle. — From eight times the chord of half the arc subtract the chord of the whole arc, one-third of the remainder will give the length of the arc, nearly. Area of circle. — Square the... | |
 | Dalhousie University - 1886 - 216 σελίδες
...2\/-l sin m6=x—x. ' x * 4. Prove the rough rule for finding the length of a small arc of a circle, "From 8 times the chord of half the arc, subtract the chord of the whole arc, and take Jrd of the remainder." (Euler's series for the sine. ) 5. Express sin " "*" 0 in terms of... | |
 | Benjamin Franklin Finkel - 1888 - 518 σελίδες
...«)*, where a is the chord of the whole arc and b the chord of half the arc. Rule from (6) . From eight times the chord of half the arc subtract the chord of the whole arc ; one-third of the remainder will be the length of the arc, approximately. I. Find the length of the... | |
 | 1871 - 682 σελίδες
...CHEMICAL STUDENT. [7008.]— Mensuration.— 1st. Find the length of re A B. The rule is: From eight times the chord of half the arc subtract the chord of the whole arc, and one-third of the remainder will be the length. 2nd. Find the area of the sector AD B. Bnle : Multiply... | |
 | Alfred John Pearce - 1897 - 202 σελίδες
...chord of half the arc, and length of the arc = I. „,. . SAB - AC Then I = — 3 RULE. — From eight times the chord of half the arc, subtract the chord of the whole arc, and take one-third. NOTE — This rule is not exact, hut gives a very close approximation. For small... | |
 | John Perry - 1897 - 724 σελίδες
...Divide into triangles, and add the areas of the triangles together. Arc of a circle. — From eight times the chord of half the arc subtract the chord of the whole arc; one-third of the remainder will give the length of the arc, nearly. Area of a trapezium. — Half the... | |
 | Horace Lamb - 1897 - 644 σελίδες
...prove Huyghens' rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. Prove that in an arc of 45° the proportional error is less than 1... | |
 | International Correspondence Schools - 1901 - 578 σελίδες
...rule, which gives the length of an arc less than 120° correct to three figures: Rule. — From eight times the chord of half the arc, subtract the chord of the wholc arc, and divide the remainder by 3. The quotient is the length of the arc, approximately. That... | |
| |
From 8 times the chord of half the arc, subtract the chord of the whole arc ; one-third of the remainder will be the length of the arc nearly. 
