| Robert Potts - Geometry, Plane - 1860 - 380 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line ABbe divided into... | |
| War office - 1861 - 714 pages
...another. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. 4. When are circles said to touch one another... | |
| Woolwich roy. military acad - 1861 - 572 pages
...decreasing. 14. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square of the other part. Enunciate any subsequent proposition of Euclid... | |
| Euclides - 1862 - 140 pages
...-THEOREM. If a straight line be divided into any two parts, the squares on the wlutle line) and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46;... | |
| Architecture - 1863 - 300 pages
...Proposition 7, Theorem ; It a straight line be divided into any two parts the squares of the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part : Prove this by Euclid's demonstration, and... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...another. 6. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 7. Draw a straight line perpendicular to... | |
| Woolwich roy. military acad - 1864 - 588 pages
...of n letters a, b, c, and their powers. Find the number of terms in the expansion of (a+b+c+d)\ 9. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole and that pan, together with the square of the other part. Prove that the area of any right-angled triangle... | |
| Euclides - 1864 - 448 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into... | |
| Euclides - 1865 - 402 pages
...equal to the square of the straight line which is made up of the half and the part prodnced. Prop. 7 If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Prop. 8. If a straight line be divided into... | |
| Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...Prove that if a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Give Euclid's demonstration of this proposition... | |
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