| 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,...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 AB, BC shall be... | |
| 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...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 .. B Then the rectangle AB,... | |
| 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
...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... | |
| 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
...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,...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, the squares on the... | |
| Edward Atkins - 1876 - 119 páginas
...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... | |
| Richard Wormell - 1876
...its parts are together equal to the square on the whole line. . . - . . . . . . . . . . . . 145 3. **If a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the** square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight... | |
| Robert Potts - 1876 - 403 páginas
...square on AB. If therefore a straight line, &c. QE ji. PROPOS1TION III. THEOREM. iJ a itraiyht line Tie **divided into any two parts, the rectangle contained by the whole and one of the** parti, is equal to the rectangle contained by the tun parti, together with the square. on the aforesaid... | |
| Euclides - 1878
...square on a straight line is equal to four times the square on half the line, PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...the rectangle contained by the two parts together** mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then... | |
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