 | 1856 - 376 σελίδες
...together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the... | |
 | 1858 - 398 σελίδες
...parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the... | |
 | Elias Loomis - 1858 - 256 σελίδες
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the... | |
 | Euclides - 1858 - 136 σελίδες
...PROP. IV. THEOII. If a st. line be divided into any two parts, the square of the whole line equals the squares of the two parts, together with twice the rectangle contained by the parts. CоN. 46. Fat. 1, 31 I. DEM. 29. I, Def. 30. I, 5. I, Ax. 1. 6. I, Ax. 3. 34. I, 43. I. Exp. ! 1 Con.... | |
 | Euclides - 1858 - 248 σελίδες
...4. II. If a st. line be divided into any two parts, the square of the whole line equals the square of the two parts together with twice the rectangle contained by the parts. Def. 30. I. A square is a four-sided figure having all its sides equal, and its angles rt. angles.... | |
 | War office - 1858 - 578 σελίδες
...equal parts. 3. "What is a rectangle ? If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, and to twice the rectangle contained by the parts. If the line be bisected, what do the rectangles... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...terminated in the other extremity. 2. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. VOLUNTARY PORTION. 1. Prove that if the diagonals of a quadrilateral figure bisect each other, the... | |
 | Thomas Stantial - 1859 - 352 σελίδες
...same manner the following : — ^ A. " If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal... | |
 | Civil service - 366 σελίδες
...parallelogram. BOOK II. PROP. IV — If a straight lice be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares... | |
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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
