 | 1903 - 898 pages
...divided into any two parts, prove that the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 6. Describe an isosceles triangle such that the square on the base may be equal to three times the... | |
 | Olaus Henrici, George Charles Turner - Graphic statics - 1903 - 236 pages
...formula as true in the present case. It says, the square on a line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. This is of course Euc. II, iv. 16. It will be seen that all the theorems in the Second Book of Euclid... | |
 | Aleksandr Vasilʹevich Mikhalev - Mathematics - 2002 - 650 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts." The real precursor of algebra in antiquity is Diophantus (around 250). He developed a syncopated style... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...each other. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | Military art and science - 1860 - 722 pages
...other. 11. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 12. The angle at the centre of a circle is double of the angle at the circumference, upon the same... | |
 | Cowley Oxon, dioc. school - 1860 - 318 pages
...Prove this. 9. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts together with twice the rectangle contained by the two parts. Give the proof. 10. Describe a square which shall be equal to a given rectilineal figure.... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1874 - 820 pages
...straight line be divided into any two parts the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 4. If two circles touch one another internally they shall not have the same centre. 5. A segment of... | |
 | British Columbia. Superintendent of Education - 1897 - 710 pages
...straight line lie divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 3. In obtuse-angled triangles, if a perpendicular lie drawn from either of the acute angles to the... | |
 | Education Department - 1879 - 1118 pages
...straight line be divided into any two parts the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. If the sum of two squares is equal to a third square, the sum of their sides must be greater than the... | |
 | 1874 - 748 pages
...straight line be divided into any two parts the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 4. If two circles touch one another internally they shall not have the same centre. 5. A segment of... | |
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IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts. 
