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" 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 of the last product will be the area.* * DEMONSTRATION. "
A Complete Treatise on Practical Land-surveying: In All Its Departments ... - Σελίδα 87
των Anthony Nesbit - 1847 - 426 σελίδες
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - 1785 - 350 σελίδες
...RULE, 3. From Half the Burn of the three Sides fubtnuft each Side feverally ; multiply the Half Sura and the three Remainders continually together, and the Square Root of the laft ProducT. will be the Area 6f the Triangle, that is, * • Tc— 2. *=Half the Sum of the Sides....

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801 - 658 σελίδες
...the sum of any two opposite angles in it is equal to two right angles, or i8r°. Multiply the four remainders continually together, and the square root of the last product will be the area of die trar < » pezmm. EXAMPLE^. In order to, facilitate the demonstration of the rule, it is thought...

The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - 1806 - 342 σελίδες
...let at per Acre ? Case 2. When the three Sides of a Triangle are given, to find the Area. RULE. 3. From Half the Sum of the three Sides subtract each...continually together, and the Square Root of the last Produdl will be the Area of the Triangle, that is, ^++l= j = Half the Sum of the Sides'. 2 Then let...

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1

Samuel Webber - 1808 - 466 σελίδες
...the three sides together, and take half the sum ; from the halt. sum subtract each side separately ; multiply the half sum and the three remainders continually...the square root of the last product will be the area of the triangle. • A triangle is half a parallelogram of the same base and altitude,) Euc. I. 41)...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 σελίδες
...three sides subtract each side severally ; multiply the half sum and the three remainders contiuually together, and the square root of the last product will be the area.* * DEMONSTRATION. Let ABC, Fig. 69, be llje triangle. Bisect any two of the angles, BAC, ABC, by the...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1817 - 384 σελίδες
...triangle, when the three sides are given. RULE. From half the sum of the three sides subtract each sifle severally ; multiply the half sum and the three remainders...square root of the last product will be the area. * » DEMONSTRATION. Let ABC, Fig. 69, be the triangle. Bisect any two of the angles, BAC, ABC, by the...

A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - 1817 - 392 σελίδες
...when the three sides are given. RULE. S From half the sum of Nthe three sides subtract each mainders continually together, and the square root of the last product will be the area.* * DEMONSTRATION. Let ABC, Fig. 69, be the triangle. Bisect .any two of the angles, B AC, ABC, by the...

A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 σελίδες
...4*. 7 \d. , PROBLEM V. To find the area of a triangle, the three sides only of which are given. RULE. From half the sum of the three sides subtract each...the square root of the last product will be the area of the triangle. Jvofe t. If a triangle be accurately laid down, from a pretty large scale of iqual...

A Treatise on Gunter's Scale, and the Sliding Rule: Together with a ...

George Curtis - 1824 - 132 σελίδες
...side, severally, noting down the remainders ; then multiply the half sum and the three remalftders continually together, and the square root of the last product will be the Area. EXAMPLE. Suppose a Triangle whose three sides are .30, 26, and 22. Sides, 30^-25+22 sum 78-^2=39=—...

The Operative Mechanic, and British Machinist: Being a Practical ..., Τόμος 1

John Nicholson - 1825 - 822 σελίδες
...the three sides together, and take half the sum ; from the half sum subtract each side separately; multiply the half sum and the three remainders continually...the square root of the last product will be the area of the triangle. Ex. Required the area of the triangle whose base is 6 feet, and perpendicular height...




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