 | 1856 - 376 pages
...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...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...rectangle contained by the parts. 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...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...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...part, together with the square of the other part. State this result algebraically. 5. One circle cannot touch another in more points than one, whether... | |
 | Euclides - 1856 - 168 pages
...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...part together with the square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares of AB, BC are equal to twice... | |
 | Middle-class education - 1857 - 70 pages
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | Euclides - 1858 - 136 pages
...required the earth's diameter. PROP. VII. THEOR. If a st. line be divided into any two parts, the squares of the whole line and of one of the parts are equal...that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax. H. 34. I. EXP. Соя.... | |
 | War office - 1858 - 578 pages
...contractor bound to supply ? Euclid. 1. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the signs and extreme... | |
 | Euclides - 1858 - 248 pages
...angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts, the squares of the whole line and of one of the parts are equal...part, together with the square of the other part. Ax. 2, 47. I. 16. I. If one side of a triangle be produced, the ext. angle is greater than either of... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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 squares on AC CB, together with twice the rectangle contained... | |
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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... 
