 | Euclides - 1853 - 146 pages
...square 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,...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 - Geometry - 1853 - 176 pages
...d Wherefore, if a straight line, &c. QED PROPOSITION VII. — THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line,...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 into... | |
 | Euclides - Geometry - 1853 - 334 pages
...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...part, together with the square of the other part. Let the straight line AB be divided into any two parts AC, CB in c. Then the squares of AB, BC shall... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...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... | |
 | 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,...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 into... | |
 | Robert Potts - 1855 - 1050 pages
...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 part, together with the square on the other part. Deduce the same from the preceding propositions of the Second Book. 6. The opposite... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...to 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle... | |
 | 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle... | |
 | 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. State this result algebraically. 5. One... | |
 | 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 by the whole and that part, together with the square of the other part. Let the straight line AB be divided into... | |
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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... 
