 | Henry Major - 1876 - 784 sider
...in June, 1780, and June, 1880. Write an essay on holidays, and how to spend them. 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 by the parts. 1. Find the... | |
 | Edward Atkins - 1876 - 130 sider
...the rectangle AC, CB. Therefore, if a straight line, &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 sum of the squares on the two parts, together with twice the rectangle contained by the parts.... | |
 | Richard Wormell - 1876 - 268 sider
...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 and that part, together... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 sider
...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 contained by the parts.... | |
 | Scotland free church - 134 sider
...another. Or—Any two angles of a triangle are together less than two right angles. 3. 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. 4. Parallelograms... | |
 | J T. Amner - 1878 - 226 sider
...right-angled triangles of equal area can be drawn having the same hypotenuse. Section 3. 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 by the two parts. The rectangle... | |
 | Euclides - 1879 - 146 sider
...sufficient importance to require separate and independent proofs.] PROPOSITION IV. 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 rectangles contained by these parts. Let AB be... | |
 | University of Oxford - 1879 - 414 sider
...side of it, either are two right angles, or are together equal to two right angles. 3. 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 two parts. 4. If two... | |
 | W J. Dickinson - 1879 - 44 sider
...be twice the square on the other part. 4. Define a rectangle and a square. Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The parallelograms... | |
 | Moffatt and Paige - 1879 - 378 sider
...described upon the semi-diameter of another square; compare the areas of the squares. 3. 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 those parts. For Proposition... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
