 | Isaac Sharpless - 1879 - 282 σελίδες
...AF=AD.AC=AB.AC, CE=CF.CB = AB. CB, AE-AB * ; AB.AC+AB.CB=AB\ Proposition 3. Theorem.—If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided in two parts in the point C, then... | |
 | 1880 - 160 σελίδες
...other two sides of it ; the angle contained by these two sides is a right angle. 7. If -a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be divided into any two parts, the squares on the... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...contained by MN and MO, and by MN and NO, together = the square on MN. PBOP. III. THEOREM. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. Let AB be a straight line divided into any two parts in C. Then it is... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...line lie divided into any ttco parts, the rectangle contained by tlie whole and one of the parts, u equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C:... | |
 | Euclides - 1881 - 236 σελίδες
...straight lines mentioned in Us enunciation are equal, their rectangle is a square. FK If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into any two parts at the point C.... | |
 | Moffatt and Paige - 1881 - 176 σελίδες
...is " sq. on AB," and for " the rectangle contained by AB and CD," " rect. AB, CD."] 1. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal... | |
 | Mary W I. Shilleto - 1882 - 418 σελίδες
...is the greatest value which these complements can have for a given parallelogram ? 4. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. If from one of the equal angles of an isosceles triangle a perpendicular... | |
 | Marianne Nops - 1882 - 278 σελίδες
...sq. on AB. Wherefore if a straight line, &c. — QED *2 PROPOSITION III., THEOREM 3. If a straight line be divided into any two parts the rectangle contained...rectangle contained "by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at C. The rect.... | |
 | 1882 - 498 σελίδες
...angle is equal to the squares described on the sides which contain the right angle. 14. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. 15. Find the centre of a circle. 16. If in a circle two straight lines... | |
 | 1883 - 248 σελίδες
...construct a triangle ADE equal to ABC, and having the common angle A. 2. If a straight line be diveded into any two parts, the rectangle contained by the...rectangle contained by the two parts, together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
