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" To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately. Multiply the half sum and the three remainders together, and extract the square root of the product. "
Complete Graded Arithmetic: Oral and Written, Upon the Inductive Method of ... - Σελίδα 288
των James Bates Thomson - 1882 - 400 σελίδες
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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

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...= 120°. ..9.93753 1 25 Log. 4.332 ....... ..0.63664 4 1.328 _40 AKP 13.120 Am. 4 1 13 PROBLEM III. To find the Area of a Triangle when the three Sides are given. From the half sum of the three sides subtract each side separately, add together the logarithms of the half...

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P. O'Shaughnessy (Civil engineer) - 1848 - 110 σελίδες
...triangle whose three sides measure 20. 41, 24. 16, and 30. 12 chains. Ans. 24* 2r OP. Second Limma to find the area of a triangle when the three sides are given. Square the sum of any two sides, take the square of the third side from it ; take the diffc. of the...

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James Bates Thomson - 1848 - 432 σελίδες
...half the altitude or perpendicular height. 626. To find the area of a triangle, the three sides being given. From half the sum of the three sides subtract each side respec. lively ; then multiply together half the sum and the three remainders, and extract the square...

A treatise on land surveying [ed.] by W. Galbraith

John Ainslie - 1849 - 586 σελίδες
...and contained angle, or two angles and adjacent side of triangles, are given to find the area. 1 . To find the area of a triangle when the three sides are given. Rule. — Add the three sides, and take half the sum. From the half sum subtract each side successively,...

Higher Arithmetic: Or the Science and Application of Numbers, Combining the ...

James Bates Thomson - 1849 - 438 σελίδες
...base is 50 ft., and its altitude 44 Ji. 626. To find the area of a triangle, the three sides being given. From half the sum of the three sides subtract each side respec* tively ; then multiply together half the sum and the three remain* ders, and extract the square...

A Rudimentary Treatise on Land and Enigineering Surveying with All the ...

Thomas Baker - 1850 - 244 σελίδες
...adjacent angles 60° 14' and 59° 46'; required the area by logarithms. Am. 13a. Ir. I2p. PROBLEM III. To find the area of a triangle when the three sides are given. Let a, b and c be the sides, and s their half sum, then A =: V s (s — a) (* — b) (s — c)By logarithms,...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 238 σελίδες
...a triangle whose base is 72,7 yards, and altitude 36,5 yards ? Ans. 1326,775 sq. yds. PROBLEM III. To find the area of a triangle when the three sides are known. RULE, I. Add the three sides together and take half their sum. II. From this half sum take each...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 σελίδες
...a triangle whose base is 72,7 yards, and altitude 36,5 yards ? Ans. 1326,775 sq. yds. PROBLEM III. To find the area of a triangle when the three sides are known. RULE, I. Add" the three sides together and take half their sum. II. From this half sum take...

An Introductory Treatise on Mensuration in Theory and Practice ...

John Radford Young - 1850 - 294 σελίδες
...and Altitude being given 21 To find the Area of a Triangle when the Base and Altitude are known 22 To find the Area of a Triangle when the Three Sides are known 24 Knowing any Two Sides of a Right-angled Triangle, to find the Third Side 28 To find the Area...

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Oliver Byrne - 1851 - 310 σελίδες
...38 fe. 11 in. A " " 7 J pa. = area required. To find the area of a triangle whose three sides only are given. — From half the sum of the three sides subtract each side severally. Multiply the half sum and the three remainders continually together, and the square root...




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