 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...Equilateral Triangle. PROPOSITION 1. 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 AB. ; From the centre A, at the distance AB, describe \ the circle... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...the method of proof given by Eudid.) Proposition 46. 152. To describe a square upon a given straigM line. Let AB be the given straight line ; it is required to describe a square upon AB. B Construction. At the point A in the straight line AB draw AC at right... | |
 | William Chauvenet - 1893 - 340 pages
...compasses, with the use of which the student is supposed to be familiar. PROPOSITION XIX.—PROBLEM. 65. To bisect a given straight line. Let AB be the given straight line. "With the points A and B as centres, and with a radius greater than the half of AB, describe arcs intersecting... | |
 | Webster Wells - Geometry - 1894 - 256 pages
...from D and E, CF is perpendicular to DE at its middle point. (§ 43.) PROPOSITION XXIX. PROBLEM. 205. To bisect a given straight line. Let AB be the given straight line. ' To bisect AB. With A and B as centres, and with equal radii, describe arcs intersecting at C and... | |
 | Seymour Eaton - 1899 - 362 pages
...between any two rectilineal figures. Lesson No. 21 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 AB. Construction : From the point A draw AC at right angles to AB (Proposition... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...construct a triangle equal to a given rectilineal figure. 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 AB. Constr. From A draw AC at right angles to AB ; I. 11. and make AD equal to... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...straight line and circumference, such as the trisection of an angle, etc. PROPOSITION I. — PROBLEM. To bisect a given straight line. Let AB be the given straight line. It is required to bisect the line AB. Construction. — With the points A and B as centres, and a radius * greater than one-half... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...order in which they are to be used, and the student must complete the demonstration. PROBLEfl I. 1. 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, . c describe arcs cutting one another... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...sides by one than the given figure. BOOK I. PROP. 46. 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 AB. Constr. From A draw AC at right angles to AB ; I. 11. and make AD equal to... | |
 | Isaac Newton Failor - Geometry - 1904 - 100 pages
...the application of these principles in the Solution and Proof of Problems 117 and 120. 117. Problem. To bisect a given straight line. Let AB be the given straight line (Pig. 46). We are required to bisect AB; that is, to divideJ.fi into two equal parts. D FIG. 46. FIG.... | |
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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. 
