| Alfonzo Gardiner - 1878
...product of two numbers is 15, and their difference is 2. Find the numbers. 7. If a straight line be **divided into any two parts the squares on the whole...that part together with the square on the other part.** 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the diameter of a circular... | |
| Moffatt and Paige - 1879
...square on C D. Therefore, if a straight line, etc. QED Proposition VII. Theorem. If a straight line be **divided into any two parts, the squares on the whole...the straight line AB be divided into any two parts** in the point C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
| Euclides - 1879
...x", =(a + x)*; that is, if a number be divided, &c.] PROPOSITION VII. THEOREM. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part. Let** AB be divided into any two parts at C. Then the sqs. on AB, BC = twice rect. AB, BC together with sq.... | |
| University of Oxford - 1879
...8. The greater side of every triangle has the greater angle opposite to it. 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. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
| Euclides, James Hamblin Smith - 1879 - 349 páginas
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc **equal to twice the rectangle contained by the whole...that part together with the square on the other part.** 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB, BC=twice red. AB, BC together... | |
| W J. Dickinson - 1879 - 36 páginas
...line be divided into any two parts, the squares of the whole line and of one of the parts are together **equal to twice the rectangle contained by the whole...that part together with the square on the other part.** Same proposition. Prove this both geometrically and algebraically. Same proposition. Show that the... | |
| Isaac Sharpless - 1879 - 266 páginas
...line is equal to the squares of the two parts, together with twice the rectangle contained by the two **part*. Let the straight line AB be divided into any two parts** in C; then will . CB. Upon AB describe (I. 41) the square ABED ; join BD ; through C draw (I. 29) CF... | |
| Edward Harri Mathews - 1879
...shall be equal to the square on the other part. Divide a given straight line into two parts, such that **the squares on the whole line and on one of the parts** shall be together double of the square on the other part. 4. The opposite angles of a quadrilateral... | |
| 1880 - 144 páginas
...contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Oxford univ, local exams - 1880
...also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares **on the whole line and on one of the parts are equal...part, together with the square on the other part.** 6. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... | |
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