| Henry Major - 1873
...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
...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
...&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
...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
...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
...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 - 119 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
...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 - 403 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... | |
| Euclides - 1878
...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...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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