| 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
...lines mentioned in its enunciation are equal, their rectangle is в square. PROP. III. 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... | |
| John Playfair - 1855 - 318 páginas
...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
...and each of the parts. Cor. 2. — In like manner making A equal to one of the parts, it appears that **if a straight line be divided into any two parts,...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... | |
| Cambridge univ, exam. papers - 1856
...parallel. 4. Parallelograms upon 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... | |
| 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... | |
| War office - 1858 - 12 páginas
...side, and likewise the two interior angles on the same side together equal to two right angles. 3. **If a straight line be divided into any two parts,...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... | |
| W. Davis Haskoll - 1858 - 324 páginas
...equal to the rectangles contained by the undivided line, and the several parts of the divided line. **If a straight line be divided into any two parts, the rectangle contained by the whole and** ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
| Euclides - 1858
...wood engraver substituted k for x in the figures ; hence the use of k. PROP. 3. — THEOR. If a st. **line be divided into any 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... | |
| Sandhurst roy. military coll - 1859 - 1869 páginas
...gallons to be sold at 10s. per gallon ; how many gallons of each sort of wine must he take. Euclid. 1. **If a straight line be divided into any two parts,...the parts, is equal to the rectangle contained by** the parts, together with the square of the aforesaid part. the straight line intercepted between the... | |
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