 | Euclides - 1871 - 136 σελίδες
...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 - 216 σελίδες
...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 - 376 σελίδες
...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 - 588 σελίδες
...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 σελίδες
...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 - 120 σελίδες
...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 - 130 σελίδες
...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 σελίδες
...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 - 382 σελίδες
...=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 - 1010 σελίδες
...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... | |
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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 that part, together with the square of the other part. 
