| Euclid, Isaac Todhunter - 1867 - 400 páginas
...is that which is half of the given square. 504. Divide a given straight line into two parts so that **the squares on the whole line and on one of the parts** jnay be together double of the square on the other part. 505. Two rectangles have equal areas and equal... | |
| Woolwich roy. military acad - 1868
...without taking the same three children together more than once. How often will each child go ? 11. **If a straight line be divided into any two parts,...part, together with the square on the other part.** Where does Euclid afterwards use this proposition? 12. To inscribe a square in a given circle. 13.... | |
| Robert Potts - 1868 - 410 páginas
...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 line, and on one of** Uie parts, are equal to twice the rectangle contained by the whole and that part, together with the... | |
| 1868
...line be divided into an; two parts, the squares of the whole line and one of the parti are together **equal to twice the rectangle contained by the whole and that part, together with the square** of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the... | |
| Schools inquiry commission - 1868
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be **equal to twice the rectangle contained by the whole and that part together with the square** of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares... | |
| Edinburgh univ - 1868
...Parallelograms upon equal bases and between the same parallels are equal. 4. Prove Prop. 47, BI 5. **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 line... | |
| Euclides - 1870
...PBOP. 7. — THEOB. If a st. 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 that part, together with** a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30.... | |
| Euclides - 1871
...Shew that Propositions V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. **If a straight line be divided into any two parts,...that part together with the square on the other part.** s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect. AB, BC together... | |
| Euclid, Charles Peter MASON - 1872
...fifth proposition the former of these two Qs is the larger, in the sixth, the latter. PBOPOSITION VTI. **If a straight line be divided into any two parts,...squares on the whole line and on one of the parts are** together equal to twice the rectangle contained by the whole and that part together with the square... | |
| Euclides, James Hamblin Smith - 1872 - 349 páginas
...for a given parallelogram, can have ? Ii. 11. 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. 1867. in. 22. If the chords, which bisect... | |
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