 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 - Geometry - 1854 - 520 pages
...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 - Science - 1854 - 534 pages
...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 - 1050 pages
...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 - 270 pages
...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 - 252 pages
...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 - Euclid's Elements - 1856 - 346 pages
...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 - 200 pages
...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 - 376 pages
...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 - 168 pages
...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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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... 
