 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...income, and what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line. 2. Describe a square equal to a given rectilineal figure. Give a construction for determining a square... | |
 | 1859 - 414 σελίδες
...parallelogram by a line drawn through a given point within the figure. 9. If a line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points of section, is equal to the square of... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts,...section, is equal to the square of half the line. 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by... | |
 | Euclides - 1860 - 288 σελίδες
...diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into two unequal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Given the straight... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...CB*= CD , which i* the algehraic proof of the theorem. THEOREM XLV. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent... | |
 | Robert Potts - 1860 - 380 σελίδες
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into tteo unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, it equal to the square on half the line, Let the straight... | |
 | War office - 1861 - 260 σελίδες
...between the same parallels are equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...of section is equal to the square of half the line. State and explain Euclid's corollary to this proposition. 3. The angles in the same segment of a circle... | |
 | Alexander Hadden Hutchinson - 1861 - 128 σελίδες
...described upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION.... | |
 | Euclides - 1862 - 172 σελίδες
...THEOREM. //' a straight line be divided into two equal parts, and also into two unequal parts ; then the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two... | |
 | Euclides - 1862 - 140 σελίδες
...diagonal of a square are likewise squares. PROPOSITION 5.— THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts,...contained by the unequal parts, together with the square on the line between the points of section, ^s equal to the square on half the line. (References—... | |
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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
