 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 Euclid - Σελίδα 34των Euclid - 1838 - 416 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Euclides - 1853 - 146 σελίδες
...of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the...parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
 | Euclides - 1853 - 334 σελίδες
...CD. Which was to be proved. PEOP. VII. THEOE. If a straight line be divided into any two parts: then the squares of the whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
 | Thomas Lund - 1854 - 520 σελίδες
...very elegant proof of the important Theorem in (43) may be given as follows :— 45. PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together... | |
 | Euclides - 1855 - 270 σελίδες
...rectangle AD.DB, and the square of С В is equal to the square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the...the straight line AB be divided into any two parts at the point С. The squares of AB and B С are equal to twice the д ев rectangle AB. B С, together... | |
 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...to the squares of the two other sides, the angles contained by those sides is a right angle. 4. If a straight line be divided into any two parts, the...squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with... | |
 | 1856 - 376 σελίδες
.... o rag ne o appy a paraeogra have one of its angles equal to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...same base, and between the same parallels : the parallelogram shall be double of the triangle. 7. If a straight line be divided into any two parts, the...part, together with the square of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole, and one... | |
 | W F. Richards - 1856 - 198 σελίδες
...the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. If a straight line be divided into any two parts, the...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be... | |
 | Euclides - 1856 - 168 σελίδες
...and BD together with twice the rectangle BC, BD ; that is (Prop. 49.), to the square of C D. LII. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and that part together with the square of the... | |
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