| 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 - 814 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 - 1136 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 - 750 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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