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" RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area. "
A Complete Arithmetic, Oral and Written - Σελίδα 345
των Malcolm MacVicar - 1876 - 394 σελίδες
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The engineers' manual of the Local marine examinations

Thomas Liddell Ainsley - 1880 - 866 σελίδες
...The area of a triangle may, however, be determined from its three sides by the following EULE LXV. From half the sum of the three sides, subtract each side separately ; then multiply the half sum and the three remainders together, and the square root of the latí product...

Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - 1881 - 266 σελίδες
...= 113-581 square meters. Ans. J b 36, Given the three sides of a triangle, to find the area. Eule : From half the sum of the three sides subtract each...remainders together : the square root of the product will be the area. Formula : A = Vs (s — a) (s — 6) (s — c]. Proof: By 4, a* = Z>* + c'-2fy-,...

Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - 1881 - 258 σελίδες
...Given the three sides of a triangle, to find the area. Eule ; From half the sum of the three sidles subtract each side separately; multiply the half sum...remainders together : the square root of the product will be the area. Formula : A — Vs (s — a) (s — b) (s — c). Proof: By 4, whence By 2, „ 2...

Arithmetic. [With] Key

Montagu H. Foster - 1881 - 182 σελίδες
...2. Triangle. The area equals half the product of the %ase and perpendicular altitude. 3. Triaiigle. From half the sum of the three sides subtract each side separately, multiply the half sum by these three remainders, and extract the square root of the product. 4. Trapezium. The area equals...

Practical arithmetic for schools

Robert Miller (M.A., of Edinburgh.) - 1881 - 238 σελίδες
...Area = base x perpendicular height. TRIANGLE: Area = a8e * p- — -, or from half the sum of the 4 three sides subtract each side separately. Multiply the half sum and the three remainders together, and take the square root of the product. SPHERE: Area=D" x 3-1416; solid contents = TI» x -5236 ;...

Fish's Arithmetic Number One[-two]: Oral and Written ..., Τόμος 2

Daniel W. Fish - 1883 - 348 σελίδες
...area. 2. Find the area of a triangle whose base is 20 ft. and each, of the other sides 15 ft RULE. — From half the sum of the three sides subtract each...together ; the square root of the product is the area. 3. Find the area of a triangle whose sides are 25, 36, and 49 in. 4. How many acres in a field in the...

Mensuration for beginners [With] Answers

William Dodds - 1883 - 198 σελίδες
...find the length of the base. 69. To fiiid the area of a triangle when the three are given. RULE. 1°. From half the sum of the three sides subtract each side separately. 2°. Multiply the half sum and the throe remainders continually together. 3°. Take the square root...

Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Βιβλίο 2

Daniel W. Fish - 1883 - 364 σελίδες
...area. 2. Find the area of a triangle whose base is 20 ft. and each of the other sides 15 ft. RULE. — From half the sum of the three sides subtract each side separately j multiply the half-sum and the three remainders together; the square root of the product is the area....

A manual of commerce

William Waterston - 1884 - 314 σελίδες
...height 36 feet : then 4fl X 18 = 810 square feet. 6. The three fides of a triangle being given, toßnd the area: From half the sum of the three sides subtract...remainders together; the square root of the product will be the ares. Ex. If the sides be S6, 28, and 30 Inches, we have 26 + 28 + 30 = 84, and ft 84 =42;...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 σελίδες
...I. 41, 35 = Vs (s - a) (s - b) (s - c); which expression may be put into the form of a rule, thus : From half the sum of the three sides, subtract each...multiply the half sum and the three remainders together, and the square root of the product will be the area.* 1. If from B there be drawn BE j_ AC or AC produced,...




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