| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...parallel to BC meeting AB and AC in D and E. Prove that DE is equal to the sum of BD and CE. 4. Show how **to divide a given straight line into two parts so that the** square of one part may be equal to three times the square of the other part. 5. In the figure of Prop.... | |
| James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...to the line. CHAPTER II. PROBLEMS. § 39. Problems which follow directly from known propositions. 1. **Divide a given straight line into two parts so that the rectangle contained by the** parts shall be equal to a given square. This is a converse problem to Euc. II. 14, and the following... | |
| Euclid - Geometry - 1892 - 460 pages
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. **Divide a given straight line into two parts so that the rectangle contained by** them may be equal to the square described on a given straight line which is less than half the straight... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...sum of squares on one pair of opposite sides is equal to the sum of squares on the other pair. 4- (a) **To divide a given straight line into two parts so that the rectangle contained by the whole and one** part shall be equal to the square on the other part, (b) Show that when a line is divided as in this... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 804 pages
...sum of squares on one pair of opposite sides is equal to the sum of squares on the other pair. 4. (a) **To divide a given straight line into two parts so that the rectangle contained by the whole and one** part shall be equal to the square on the other part, (b) Show that when a line is divided as in this... | |
| Seth Thayer Stewart - Geometry - 1893 - 256 pages
...intersection with О draw .L to diameter. Segments of diameter are sides of required CD. (P. x.) i9. Divide a **straight line into two parts, so that the rectangle contained by the whole and one of the parts** may equal the square of a line given less than the line to be divided. I. Erect a .L at one end of... | |
| Henry Martyn Taylor - 1893 - 486 pages
...a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. **Divide a given straight line into two parts, so that the rectangle contained by the** parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...the four walls "would be 116 square yards ; find the dimensions of the room. (25.) B. 27. Show how **to divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts** may be equal to the square on the other part. Given a line AB, show how to produce it to a point P,... | |
| Frederick Coate Wade - Church and state - 1895 - 168 pages
...square on half the line. Construct a rectangle equal to the difference between two given squares. 5. **To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts** may be equal to the square on the other part. If one side of a triangle be bisected, the sum of the... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. **Divide a given straight line into two parts, so that the rectangle contained by the** parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point... | |
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