| George Bruce Halsted - 1886 - 366 páginas
...the commutative law, 2a(a + 6) + P = a(a + b)a + P, .-. (a + i>Y + a* = 2(0 + 6)a + 6*. Therefore 105 **rectangle contained by the whole and that part, together with the square on the other part.** 300. By the commutative and distributive laws, and 294, 4(a + t)a + 6* = 4** + yib + P = (20 + 6)*.... | |
| Dalhousie University - 1887
...inequality, in which the four small triangles stand to one another. \ 4. If a straight line be divided into **two parts, the squares on the whole line, and on one...part, together with the square on the other part.** 5. Hence give a Geometrical proof of the algebraic proposition, a2 + 'r>2ai, a and b being unequal... | |
| Richard Anthony Proctor - 1887 - 180 páginas
...important one. It may be enunciated also thus : — To divide a given straight line into two parts so that **the squares on the whole line and on one of the parts** may be together equal to three times the square on the other part. That this enunciation is equivalent... | |
| E. J. Brooksmith - 1889
...and BC in G; the triangles AGF, AEH&ce. together equal to the triangle ABC. 4. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** If AB be divided in C so that the square on AC is double the square on CB, the sum of AB and CB will... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...of the same magnitude however the line be drawn F PROPOSITION 7. If a straight line is divided into **two parts, the squares on the whole line and on one...part together with the square on the other part. Let** AB be divided at C. Then the sqs. on AB, BC = twice rect. AB, BC with sq. on AC. On AB describe the... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 páginas
...together with the square on the other part. Prove that the rectangle contained by the diagonals of **the squares on the whole line and on one of the parts** is equal to twice the rectangle contained by the whole line and that part. 2. Enunciate and prove a... | |
| 1891
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** 4. What proposition of the second book would be formed from Euclid II. 12, by bringing the vertex A... | |
| Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906
...equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** 10. From a given point O external to a given circle draw a straight line OPQ to cut the circle at two... | |
| Rupert Deakin - 1891 - 79 páginas
...square on the straight line which is made up of the half and the part produced. 7. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** 8. If a straight line be divided into any two parta, four times the rectangle contained by the whole... | |
| 1891
...contained by 5. If a straight line be divided into any two parts, the squares on the whole line andón **one of the parts are equal to twice the rectangle...that part together with the square on the other part.** NOTE. — Female candidates for Class I. will omit the 2nd and 4th of the foregoing questions and work... | |
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