 | Euclides, James Hamblin Smith - 1872 - 376 sider
...to forr 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...contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,... | |
 | Henry Major - 1873 - 588 sider
...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 by the...by the two parts, 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... | |
 | Euclides - 1874 - 120 sider
...that its symbolical expression is m? = am + bin. PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...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... | |
 | Euclides - 1874 - 342 sider
...&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 ..... | |
 | Edward Atkins - 1874 - 428 sider
...AB-BC. AB-BC= BCa+ AC • BC. For AE=AD +CE. Proposition 3.— Theorem. 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 square on t/tnt part, together with the rectangle contained liy the two parts. Let the straight line... | |
 | Edward Atkins - 1874 - 426 sider
...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 rectangle contained by the two parts. Let the straight line... | |
 | Henry Major - 1876 - 784 sider
...that set for Candidates. Write a short essay on Heat, and its rises. 1. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. What is the corresponding result in algebra ? 2. la obtuse-angled triangles,... | |
 | Edward Atkins - 1876 - 130 sider
...AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. 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 square on tJiat part, together with the rectangle contained by the two parts. Let the straight line... | |
 | Richard Wormell - 1876 - 268 sider
...to the square on the whole line. . . - . . . . . . . . . . . . 145 3. 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 square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight... | |
 | Robert Potts - 1876 - 446 sider
...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... | |
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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. 
