| Euclides - 1853
...of AB. If, therefore, a straight line, &c. QED PROP. 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** mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
| Royal Military Academy, Woolwich - 1853
...of AB. If therefore a straight line, etc. QED PROPOSITION III. THEOR. If a straight line be divided **into any two parts, the rectangle contained by the...the rectangle contained by the two parts, together** loith the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
| Euclides - 1853
...into any two parts : then the rectangle contained by the whole line and one of the parts, shall be **equal to the rectangle contained by the two parts together with the square of the** aforesaid part. Let the straight line AB be divided into any two parts in c. Then. the rectangle AB,... | |
| William Somerville Orr - 1854
...PROPOSITION III.— ТНЕОЕБИ. . ., If a straight line (AB) be divided into any two parts (AC, CB), **the rectangle contained ,by the whole and one of the parts is equal to the rectangle contained by** the twoparts% together with the square of the aforesaid part : that is, AB-BC = AOCB + :вс«. . .... | |
| Euclides - 1855
...THEO КЕМ. If a straight line be divided into any two parts, the rectangle contained by the inhale **and one of the parts is equal to the rectangle contained by the two parts, together** toith the square oftheforesaidpart. Let the straight line AB be divided into any two parts at the point... | |
| John Playfair - 1855 - 318 sider
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by ttie **whole and one of the parts, is equal to the rectangle contained by** the twtt parts, together with the square of the aforesaid part. Let the straight line AB be divided... | |
| Euclides - 1856
...— In like manner making A equal to one of the parts, it appears that if a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts together with the square of the** first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square... | |
| Cambridge univ, exam. papers - 1856
...angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line **and one of the parts is equal to the rectangle contained by the two parts together with the square of the** aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles... | |
| Cambridge univ, exam. papers - 1856
...equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided **into any two parts, the rectangle contained by the whole and one of** its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid... | |
| War office - 1858 - 12 sider
...interior angles on the same side together equal to two right angles. 3. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts together with the square of the** aforesaid part. How must the line be divided so that the rectangle by the whole and part shall be equal... | |
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