 | Euclides - 1862 - 140 pàgines
...are likewise squares. PROPOSITION 5.— THEOREM. 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 on the line between the points of section, ^s equal to the square on half the line. (References—... | |
 | University of Oxford - 1863 - 316 pàgines
...unlimited length, from a given point without it. 8. 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 on the line between the points of section, is equal to the square on half the line. 9. The straight... | |
 | Euclides - 1864 - 448 pàgines
...square, are likewise squares. PROPOSITION V. THEOREM. 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 on the line between the points of section, is equal to the square on half the line. Let the straight... | |
 | Woolwich roy. military acad - 1864 - 588 pàgines
...tvco vowels e shall never stand together 1 10. 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 on the line between the points of section is equal to the square on half the line. Hence show that... | |
 | Euclides - 1864 - 262 pàgines
...into two unequal parts ; the rectangle 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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1865 - 402 pàgines
...diameter of a square are likewise squares. Prop. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained...parts, together with the square of the line between the noinls of section, is equal to the square of half the line. Cor. The difference of the squares of two... | |
 | Robert Potts - 1865 - 528 pàgines
...square, are likewise squares. PROPOSITION V. THEOREM. 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 on the line between the points of section, is equal to the square on half the line. Let the straight... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the rectangle AD,DB, together with the... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts at the point C, and into... | |
 | 1868 - 344 pàgines
...If a straight line be divided into two equal parts, and also into two unequal parts, the rectal gle contained by the unequal parts, together with the...section, is equal to the square of half the line. Prove this also algebraically. rrove uu In any right angled triangle, the square of the side subtending... | |
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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. 
