| Royal Military Academy, Woolwich - 1853
...of CB, is equal to the square of CD. Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. **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... | |
| Thomas Lund - 1854 - 192 páginas
...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 with the square** of the other part. With the same construction as in (44), and in the same manner it may be shewn, that... | |
| William Somerville Orr - 1854
...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,... | |
| Robert Potts - 1855
...from D, the middle point of BC, DE is drawn perpendicular to AS: shew that BE is, one-fourth of AB. 5. **If a straight line be divided into any two parts, the squares on the whole line and** one of the parts, shall be together equal to twice the rectangle contained by the whole line and that... | |
| Euclides - 1855
...the 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 squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Cambridge univ, exam. papers - 1856
...triangle. 7. 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...the whole and that part, together with the square** of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained... | |
| John Playfair - 1856 - 318 páginas
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone **of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square** of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares... | |
| Cambridge univ, exam. papers - 1856
...to one anoiher. If one of the complements be a square, the parallelogram will also be a square. 4. **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... | |
| 1856
...anle. . 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 squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Euclides - 1856
...BC 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... | |
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