 | Edward Atkins - 1877 - 72 pages
...equal to the given angle ; and so on (T. 44). Proposition 46.— Problem. To describe a square upon a given straight line. Let AB be the given straight line; It is required to describe a square upon AB. CONSTRUCTION.- — From the point A draw AC at right angles to AB (I. 11),... | |
 | Euclides - 1877 - 58 pages
...than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle on a, given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle on A B. Construction. With A as centre, at the distance AB, describe... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...common. CONSTRUCTIONS. PROPOSITION XXII. PROBLEM. 220. To bisect a given straight line. С у Л E Let AB be the given straight line. It is required to bisect the line A B. From A and B as centres, with equal radii, describe arcs intersecting at С and E. Join... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...familiar. It is very important that he construct all the figures with care. THE CIRCLE. o V A xx. Problem. To bisect a given straight line. Let AB be the given straight line. It is required to find its middle point. SOLUTION. From A and B as centres, with a radius greater than one-half of AB,... | |
 | James Maurice Wilson - 1878 - 450 pages
...DE*. NOTE.— This construction also is usually effected in practice by means of the square. PROBLEM 4. To bisect a given straight line\. Let AB be the given straight line. -^ Construction. With centre A and any radius greater than half AB describe a circle, and with centre... | |
 | Moffatt and Paige - 1879 - 474 pages
...the angle FKM equal to the given angle E. QEF Proposition XL VI. Problem. To describe a square upon a given straight line. Let AB be the given straight line. It is required to describe a square upon A B. C) From the point A draw AC at right angles to AB (I. 1 1). Make AD equal... | |
 | Moffatt and Paige - 1879 - 428 pages
...Proposition 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 bisect it. On AB describe the equilateral triangle ABC (I. l). Bisect the angle ACB by the straight line CD meeting... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angle equal to the given angle ; and so oa [I. 44. PROPOSITION 46. PROBLEM. To describe a square on a given straight line. Let AB be the given straight line : it is required to describe a square on A B. From the point A draw AC at right angles to AB; [I. 11. and make AD equal... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...that FG and GL are in one and the same straight line. PROP. XLVI. PROBLEM. To describe a square upon a given straight line, Let AB be the given straight line. It is required to describe a square upon AB. A _ CONSTRUCTION. — 1 . From A draw AC at right angles to and greater... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the propositions to which reference is made can be demonstrated or the problem omitted. PROBLEM 1. li To bisect a given straight line. Let AB be the given straight line. From A and B as centres with a radius greater than half of AB, describe arcs cutting one another at... | |
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To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. 
