| Euclides - 1871
...all the parts of the one taken separately with all the parts of the other. & JC I, 2i PROPOSITION II. **THEOREM. If a straight line be divided into any two parts, the** rectangles contained by the whole and each of the parts are together equal to the square on the whole... | |
| 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, the squares** on the whole line and on one of the parts are together equal to twice the rectangle contained by the... | |
| Euclides, James Hamblin Smith - 1872 - 349 páginas
...The square on a straight line is equal to forr times the square on half the line. 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... | |
| Henry Major - 1873
...CMG is equal to the rectangle AD, DB : add to each LG which is equal to the square of CB ; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG; but the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| Euclides - 1874 - 342 páginas
...together 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... | |
| Euclides - 1874
...the 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... | |
| Braithwaite Arnett - 1874
...weighs G2-5 pounds. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. **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... | |
| Edward Atkins - 1874 - 426 páginas
...BC, together with the rectangle AC, CB. Therefore, if a straight line, <fec. 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... | |
| Euclides, James Hamblin SMITH - 1876 - 349 páginas
...=rect. AD, DB. QED Ex. Shew that Propositions V. and VI. might be deduced this Proposition. PROPOSITION **VII. THEOREM. 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... | |
| Education Department,London - 1876
...intersection together with four right angles are equal to all the interior angles of the polygon. 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... | |
| |