| Robert Potts - 1876 - 403 sider
...opposite angle, and acute angle. (Take the case where the perpendicular falls within the triangle.) 5. **If a straight line be divided into any two parts, the squares** on the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and... | |
| Henry Major - 1876
...the triangle CNK equal to the triangle ARC, and the triangle BMF equal to the triangle ARB, &c.) 2. **If a straight line be divided into any two parts, the squares** ou the whole line and one of the parts are equal to twice the rectangle contained by the whole and... | |
| Edward Atkins - 1876 - 119 sider
...on EC, together with the rectangle AC, CB. Therefore, if a straight line, &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 sum of the squares on the two parts, together with twice the... | |
| Alfonzo Gardiner - 1878
...x, 5a;= ~- + 7. 6. The 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 line and on one of the parts are equal to twice the rectangle contained by the whole and... | |
| Euclides - 1879
...interpret this formula in terms corresponding to the enunciation of the proposition.] PROPOSITION III. **THEOREM. If a straight line be divided into any two parts, the.** rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two... | |
| University of Oxford - 1879
...equal sides be produced the angles on the other side of the base shall be equal to one another. 3. **If a straight line be divided into any two parts, the squares** on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and... | |
| Edward Harri Mathews - 1879
...equal to the rectangle contained by the two parts together with the square on the aforesaid part. 2. **If a straight line be divided into any two parts, the squares** on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and... | |
| Moffatt and Paige - 1879
...rectangle AC, CB together with the square on B C. Therefore, if a straight line, etc. QED Proposition IV. **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... | |
| Isaac Sharpless - 1879 - 266 sider
...but also, and AE-AD+CE; AE = AB.BE=AB.BC; AD-AC.CD = AC.CB, CE= CB\ AB.BC-AC.CB+CB\ Proposition 4. **Theorem. — 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... | |
| Isaac Todhunter - 1880 - 400 sider
...rectangle AC, CB, together with the square on BC. Wherefore, if a straight line &c. QED PKOPOSITION 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... | |
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