 | Euclides - 1853 - 146 pages
...X. PROBLEM. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe (I. 1.) upon it an equilateral triangle ABC, and bisect (I. 9.) the angle ACB... | |
 | Euclides - Geometry - 1853 - 334 pages
...contained by the whole line and one of the parts shall be equal to the square of the other part. Let AB be the given straight line. It is required to divide it into two such parts, that the rectangle contained by the whole line and one of the parts shall be equal to the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...PROPOSITION X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line; it is required to divide it into two equal parts. Describe (1. i.) upon it an equilateral triangle ABC, and bisect (9. i.) the angle ACB... | |
 | Euclides - Geometry - 1853 - 176 pages
...โ PROBLEM. To bisect a given finite straight line, that is, to divide it into two equal parts. LET ab be the given straight line, it is required to divide it into two equal parts. Describe (i. 1) upon ab an equilateral triangle abc, and bisect (i. 9) the angle acb by... | |
 | Cambridge univ, exam. papers - 1854 - 284 pages
...KBD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced... | |
 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...KBD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...the remarks at the end of this book. PROPOSITION XI.โ PROBLEM. To divide a given straight line (AB) into two parts, so that the rectangle contained by the whole, and ะพั of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight line into two parts, so that the rectangle contained by...parts shall be equal to the square of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a point without a circle... | |
 | Robert Potts - 1855 - 1050 pages
...two equal parts. Prove also that the two diameters bisect each other. 3. Divide a given straight line into two parts, so that the rectangle contained by...parts, shall be equal to the square of the other part Solve the same problem algebraically, and give the geometrical interpretation of the result. 4. The... | |
 | Euclides - 1855 - 270 pages
...PROBLEM. To bisect a given finite straight line. ; thai is, to divide it into two equal parts. Let AB be the given straight line. It is required to divide it into two equal parts. Describe upon AB (I. 1) au equilateral triangle ABC, and bisect (I. 9) the angle ACB by... | |
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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. 
