| 1863
...first and second shall be equal to that intercepted between the second and third. 5. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination.... | |
| Royal Military Academy, Woolwich - 1853
...the square of BC. If therefore a straight line, etc. QE n. PROPOSITION IV. THEOR. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
| Euclides - 1853 - 147 páginas
...is sometimes simply called the rectangle ab, ac. Я PROPOSITION IV. — THEOREM. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight... | |
| Euclides - 1853 - 146 páginas
...with the square of BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight... | |
| Thomas Lund - 1854 - 192 páginas
...the equal sides are opposite, .-. / ACS = / BCD = a right angle. 44. PROP. XXII. If a straight line **be divided into any two parts, the square of the whole line is equal to the sum of the** squares of the two parts together with twice the rectangle* contained by the parts. QDEF. A rectangle... | |
| Allan Menzies - 1854
...reasoning, and point out the part of your demonstration in which it is evaded. 3. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice the rectangle contained by the parts. A modification... | |
| Upper Canada. Chief Superintendent of Schools - 1854
...demonstrations of the 7th, 27th, 32nd and 48th prop, of the 1st book of Euclid. . 3. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice their rectangle. 4. If a straight line be divided into... | |
| James William M'Gauley - 1854
...represent the parts into which any right line is divided, it follows from the example sec. II, 45, that **the square of the whole line is equal to the sum of the** squares of the parts, plus twice the rectangle under each two of them, &c. 24. If the sum of the equal... | |
| Euclides - 1855
...the divided straight line, their rectangle becomes a square. PROP. IV. THEOREM. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice the rectangle contained by the parts. Let the straig-ht... | |
| 1855
...middle points of two sides of a triangle will be parallel to the third side' 5. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the two parts, together with twice the rectangle contained by the parts. 6. In every triangle,... | |
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