AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| frank smith - 1868
...same side of it, are between the same parallels. 4. To divide a given straight line into two parts, **so that the rectangle contained by the whole, and one of the** parts, may be equal to the square of the other part. 5. The angles in the same segment of a circle... | |
| Toronto Board of Education - 1868
...which is made up of the half and the part produced. 25 5. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts shall be equal to the square of the other part 25 B. I ISTS OF PUPILS recommended by tfie Examiners... | |
| Dr. Francis Hawkins - 1869
...are equal to one another, and the diagonal bisects it. 5. To divide a straight line into two parts **so that the rectangle contained by the whole and one of the** parts shall be equal to the square of the other part. 6. To describe a square that shall be equal to... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts shall be equal to the square of the other part. 6. Draw a straight line from a given point, either... | |
| Cambridge univ, exam. papers - 1870
...the angle BDC is half the sum of the angles ABG, ACS. 2. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may be equal to the square on the other part. Produce a given straight line, so that the rectangle... | |
| Alexander Charles Ewald - Civil service - 1870 - 268 pages
...what does the merchant gain or lose by the transaction ? 2. Divide a straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may be equal to the square of the other part. 3. Prove that equiangular parallelograms have to... | |
| Euclides - 1871
...twice sq. on AC together with twice sq. on CD. QED; To divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts shall be equal to the square on the other part. x) Let AB be the given st. line. On AB descr.... | |
| Henry Major - Student teachers - 1873
...the parts shall be equal to the square of the other part. It is required to divide AB into two parts, **so that the rectangle contained by the whole and one of the** parts shall be equal to the square of the other part. Upon AB describe the square ACDB ; TG bisect... | |
| Euclides - 1874
...straight line, &c. QED PROPOSITION 11.— Problem. To divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts, shall be equal to the square on the other part. Let AB be the given straight line. It is required... | |
| Braithwaite Arnett - 1874
...between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may be equal to the square on the other part. If on the larger of the two parts into which the... | |
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