| War office - 1861 - 714 pagina’s
...EUCLID. 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...the whole and that part, together with the square on the other part. 2. When are circles said to touch one another ? If two circles touch each other... | |
| Euclides - 1862 - 140 pagina’s
...-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...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 pagina’s
...with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two parts in C. Then the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle... | |
| 1863 - 302 pagina’s
...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 contained...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 - 328 pagina’s
...angle. 8. 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...the whole and that part, together with the square on the other part. 9. If two triangles have two sides of the one equal to two sides of the other, each... | |
| Euclides - 1863 - 122 pagina’s
...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... | |
| Euclides - 1864 - 448 pagina’s
...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...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... | |
| Woolwich roy. military acad - 1864 - 588 pagina’s
...(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 that pan, together with the square of the other part. Prove that the area of any right-angled triangle is... | |
| Euclides - 1864 - 262 pagina’s
...the whole and each of the parts, are together equal to the square on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then the rectangle contained by AB, BC, together with that tained by AH, AC, shall be equal to... | |
| Queensland. Department of Public Instruction - 1866 - 336 pagina’s
...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 contained...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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