| Euclid, Charles Peter MASON - 1872
...the same as the rectangles under the whole line BC and each of its parts. PBOPOSITION III. If a right **line be divided into any two parts, the rectangle contained by the whole** line and one of the parts is equal to the square on that part together with the rectangle contained... | |
| Henry Major - 1873
...AC, together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line lie **divided into any two parts, the rectangle contained...together with the square of the aforesaid part. Let** AB be divided into any two parts in the point C; then the rectangle AB, BC, is equal to the rectangle... | |
| Euclides - 1874
...this, and ifm=a + b, shew that its symbolical expression is m? = am + bin. PROPOSITION 3. THEOREM. **If a straight line be divided into any two parts,...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: the rectangle... | |
| Edward Atkins - 1874
...parts AF+ CE. And;.= AB-AC+ AB-BC. AB-BC= BCa+ AC • BC. For AE=AD +CE. Proposition 3.— Theorem. **If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the** square on t/tnt part, together with the rectangle contained liy the two parts. Let the straight line... | |
| Euclides - 1874
...&c. QED PROPOSITION 3. — Theorem. If a straight line be divided into any two parts, the rectangU **contained by the whole and one of the parts is equal...contained by the two parts, together with the square** on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. AC ..... | |
| Euclides - 1874
...BAandAC, together with that contained by AB and BC. <^. E. D, PROP. III. — THEOREM. (Euc. II. 3.) **If a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts, is equal to the square of that part, together with the rectangle contained... | |
| Francis Cuthbertson - 1874 - 349 sider
...squares on the whole and on the other part by twice the rectangle contained by the whole and that other **part. Let the straight line AB be divided into any two parts in** C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw... | |
| Edward Atkins - 1874
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. **If a straight line be divided into any two parts, the rectangle** contaiiied by the whole and one of the parts is equal to the square on t/iat part, together with the... | |
| Henry Major - 1876
...Give some account of it, and of the retribution exacted. Write an essay on " The House of Lords." 1. **If a straight line be divided into any two parts,...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 parts,... | |
| Edward Atkins - 1876 - 119 sider
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. **If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the** square on tJiat part, together with the rectangle contained by the two parts. Let the straight line... | |
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