 | Woolwich roy. military acad - 1861 - 572 σελίδες
...decreasing. 14. 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...that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed. 16. If four straight... | |
 | War office - 1861 - 714 σελίδες
...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...by the whole and that part together with the square on the other part. 4. When are circles said to touch one another ? One circle cannot touch another... | |
 | Euclides - 1862 - 140 σελίδες
...-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...the whole and that part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight... | |
 | Euclides - 1862 - 172 σελίδες
...straight line, &c. QED PROP. VII.— THEOREM. If a straight line be divided into any two parts ; tlien the squares of the whole line and of one of the parts, are equal to twice tjie rectangle contained by the whole and that part, together wM the square of the other part. (References... | |
 | 1863 - 300 σελίδες
...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...that part, together with the square of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically. 11. Proposition... | |
 | University of Oxford - 1863 - 316 σελίδες
...another. 6. 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...the whole and that part, together with the square on the other part. 7. Draw a straight line perpendicular to a given straight line of an unlimited length,... | |
 | Euclides - 1863 - 122 σελίδες
...whole line (AB), and of one of the parts (BC) are equal to twice the rectangle (AB, BC) contained bg the whole and that part, together with the square of the other part (AC). Upon AB describe the square AE (I. 46) and join BD. Through through G draw HGK parallel to AB... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...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...twice the rectangle contained by the whole and that pan, together with the square of the other part. Prove that the area of any right-angled triangle is... | |
 | Euclides - 1864 - 448 σελίδες
...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...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | Queensland. Department of Public Instruction - 1866 - 336 σελίδες
...Prove that 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...the whole and that part, together with the square on the other part. Give Euclid's demonstration of this proposition ; also, prove it algebraically.... | |
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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. Let the straight line AB be divided... 
