| Cambridge univ, exam. papers - 1856
...Parallelograms on the same base and between the same parallels, are .equal to each other. 7. If a right **line be divided into any two parts, the square of...together with twice the rectangle contained by the parts.** 8. Describe a square that shall be equal to a given rectilineal figure. 9. Find the centre of a given... | |
| 1856
...angles ; and the three interior angles of every triangle are together equal to two right angles. 5. **If a straight line be divided into any two parts,...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... | |
| W. F. RICHARDS - Education, Primary - 1856 - 184 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle. Section II. — 1. **If a straight line be divided into any two parts, the square of the whole line** shall be equal to the sum of the squares of the parts, together with twice the rectangle contained... | |
| Euclides - 1856
...Cor. 1. — By making A equal to the whole line considered as divided into two parts, it appears that **if a straight line be divided into any two parts, the square of the whole** liriiHs equal to the sum of the rectangles contained by the whole line and each of the parts. Cor.... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
...the sides is bisected in that point, and also bisects the parallelogram. BOOK II. 5. PROP. IV. — **If a straight line be divided into any two parts,...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... | |
| 1858
...the sides is bisected in that point, and also bisects the parallelogram. BOOK II. 5. PROP. IV. — **If a straight line be divided into any two parts,...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 - Conic sections - 1858 - 234 pages
...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...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 by AC, CB... | |
| Henry Major - Student teachers - 1873
...rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. -If a straiyht **line be divided into any two parts, the square of...together with twice the rectangle contained by the** "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the... | |
| Euclides - 1874
...rectangle AB, AC is equal to the rectangle AC, CB together with the square on AC. PROPOSITION 4. 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 rectangle contained... | |
| Euclides - 1874
...with the square on BC. If therefore a straight line be divided, &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 squares on the two parts, together with twice the rectangle contained... | |
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