 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.  The Elements of Geometry - Page 112by George Bruce Halsted - 1885 - 366 pagesFull view - About this book
 | War office - 1861 - 260 pages
...Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so that the rectangle contained by...parts shall be equal to the square on the other part. If the given line be a foot long, compute the lengths of the parts to the nearest hundredth part of... | |
 | War office - 1861 - 714 pages
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point... | |
 | Euclides - 1862 - 140 pages
...half the difference taken from half the sum is equal to the less. 13. 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 a given square. BOOK III. DEFINITIONS. 1. Equal circles are those of which the diameters... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...points of contact, and the diameter drawn from one of these points. 71. 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 a given line, which is less than the line to be divided. 72. To draw... | |
 | Euclides - 1862 - 172 pages
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...upon the same base and between the same parallels are equal to one another. 7. Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. 8. The three interior angles of every triangle are... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand;... | |
 | Henry White - 1864 - 156 pages
...two parts, together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, so that the rectangle contained by...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 without or in the circumference,... | |
 | Euclides - 1864 - 262 pages
...line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.) bisect AC in E, (l. 10) and join BE, produce CA... | |
 | Euclides - 1864 - 448 pages
...PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB be the given straight line. It is required to divide AB into two parts,... | |
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