 | Robert Potts - 1860 - 380 σελίδες
...contained by the whole and one of the parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any two parts in the point C. Then the rectangle AB, BC, shall be equal to the rectangle... | |
 | War office - 1861 - 714 σελίδες
...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 on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required. Define the meaning of... | |
 | Euclides - 1862 - 140 σελίδες
...the first mentioned part. (References— Prop. I. 3, 31, 34, 36, 43, 46; II. 4. cor.) Hypothesis. — Let the straight line AB be divided into any two parts in the point C. Sequence. — Four times the rectangle AB . BC, together with the square on AC, shall be equal to the... | |
 | Euclides - 1862 - 172 σελίδες
...line be divided into any two parts ; then the rectangle contained by the whole and one of Ihe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided into any... | |
 | University of Oxford - 1863 - 316 σελίδες
...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 on the aforesaid part. 9. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | Euclides - 1864 - 262 σελίδες
...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... | |
 | Robert Potts - 1865 - 528 σελίδες
...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 on the aforemid part. Let the straight line AB\>& divided into any two parts in the point C. Then the rectangle... | |
 | Euclides - 1865 - 402 σελίδες
...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. Prop. 4. If a straight line be divided into any two parts, the square of the... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...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,...the straight line AB be divided into any two parts at the point (7: the rectangle AB, BC shall be equal to the rectangle AC, CB, together with the square... | |
 | 1867 - 224 σελίδες
...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 on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight lines, but any two whatever... | |
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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. 
