| War office - 1861 - 12 páginas
...to it. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 3. **If a straight line be divided into any two parts,...that part together with the square on the other part.** 4. When are circles said to touch one another ? One circle cannot touch another in more points than... | |
| Woolwich roy. military acad - 1861
...expect to find the " differences " largest at the early part of the table and gradually decreasing. 14. **If a straight line be divided into any two parts,...by the whole and that part together with the square** of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed.... | |
| Euclides - 1862
...to the square on CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 7. -THEOREM. **If a straight line be divided into any two parts, the squares on the** wlutle line) and on one of the parts, are equal to twice the rectangle contained by the whole and that... | |
| 1863
...Proposition 7, Theorem ; It a straight line be divided into any two parts the squares of the whole line, and **one of the parts, are equal to twice the rectangle...the whole and that part, together with the square** of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically.... | |
| University of Oxford - 1863
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 8. **If a straight line be divided into any two parts, the squares** of the whole line and one of the parts are equal to twice the rectangle contained by the whole and... | |
| Euclides - 1864
...CB, is equal to the square on CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. **If a straight line be divided into any two parts, the squares on the whole** tine, and on one of the parts, are equal to twice the rectangle contained by the whole and that part,... | |
| Euclides - 1864
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that **the squares on the whole line and on one of the parts** shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... | |
| Woolwich roy. military acad - 1864
...of n letters a, b, c, and their powers. Find the number of terms in the expansion of (a+b+c+d)\ 9. **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... | |
| Queensland. Department of Public Instruction - 1866
...proposition in the case of a triangle whose sides are 3, 4, and 5 units respectively. 5. Prove that **if a straight line be divided into any two parts,...part, together with the square on the other part.** Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square... | |
| Euclides - 1865
...equal to the square of the straight line which is made up of the half and the part prodnced. Prop. 7 **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... | |
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