 If a straight line be divided into any two parts, the squares of the whole line, and of 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. Let the straight line AB be divided...  The Elements of Geometry, Symbolically Arranged - Page 63by Great Britain. Admiralty - 1846Full view - About this book
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. FE Let the straight line AB be divided at C into the two parts AC, CB. Then shall... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...equation and a be not equal to b, prove that each equation has its two roots equal to one another. 9. 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... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...ABC, Abe, Bm, Cab, is equal to half the triangle abc. 4. Define a square, a gnomon; and 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 together equal to twice the rectangle contained by the... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...equation and a be not equal to b, prove that each equation has its two roots equal to one another. 9. 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... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...be divided into any two parts, the squares on the whole line, and on one of the parts, are together equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 5- Prove that in every triangle the square on the side subtending an acute angle... | |
 | 1902 - 482 pages
...with the square of the line between the points of section, is equal to the square of half the line. 5. If a straight line be divided into any two parts,...part, together with the square of the other part. 6. If a straight line be bisected and produced to any point, the squares of the whole line thus produced,... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. (Draw figure.) Ex. 11O1. If a straight line AB is bisected at O and also divided... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. FE Let the straight line AB be divided at C into the two parts AC, CB. Then shall... | |
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