 If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts.  Guide to the Civil service - Page 123by Henry White - 1864Full view - About this book
 | Edward Atkins - 1874 - 426 pages
...together with the rectangle AC, CB. Therefore, if a straight line, <fec. QED Proposition 4. — Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...CAQ. The Theorems in Proposition II. may be established independently as follows :— THEOREM (a). If a straight line be divided into any two parts, the square on the whole line is' equal to the squares on the parts together with twice the rectangle contained... | |
 | Euclides - 1874 - 342 pages
...with the square on BC. If therefore a straight line be divided, &c. QED PROPOSITION 4. — Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Euclides - 1874 - 120 pages
...rectangle AB, AC is equal to the rectangle AC, CB together with the square on AC. PROPOSITION 4. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...square on the base be equal to three times the square on either side the vertical angle is two-thirds of two right angles. 4. If a straight line be divided into any two parts the square on the whole line is equal to the square on the two parts, together with twice the rectangle contained... | |
 | Richard Wormell - 1876 - 268 pages
...rectangles contained by the first and second, first and third, and second and third parts respectively. 103. If a straight line be divided into any two parts, the square on the whole line and one of the parts is equivalent to twice the rectangle contained by the whole... | |
 | Education Department,London - 1876 - 1010 pages
...four right angled trianglc.-s of equal area can be drawn having the same hypotenuse. SECTION III. 1. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...= A PQR. Wherefore a rectangle has been described equal to the given triangle. QEF PROPOSITION III. If a straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts, together with twice the rectangle... | |
 | 1876 - 710 pages
...to the squares described upon the sides which contain the right angle. 4. Proposition IV, Book II. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
 | Henry Major - 1876 - 784 pages
...equal, and one side and an adjacent, angle equal, each to each, they shall be equal in all respects. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained... | |
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