 | Education - 1883 - 654 pages
...line thus produced, and the part of it produced, together with the square on half the line bisect e3, is equal to the square on the straight line which is made up of the half and the part produced. Prop. 6, Bk. II. Algebra. MALES. Answer two guettions, including JVo. 2,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Let the straight line AB be bisected at the point C, and produced to the... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...line thus produced, and the part of it produced, together with the square on half the line bisec'el, is equal to the square on the straight line which is made up of the half and the part produced. Prop. 6, Bk. II. Algebra. MALES. Answer tu'O questions, including No. 2,... | |
 | University of Glasgow - 1883 - 438 pages
...action. HIGHER MATHEMATICS. Uth Oc'ober, 1882. 1. Divide a given straight lino into two parts, such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Where does Euclid afterwards make use of this proposition... | |
 | Euclides - 1883 - 176 pages
...(ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained by the two parts. Let... | |
 | Mathematical association - 1883 - 86 pages
...several parts into which the other is divided. COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2.... | |
 | Stewart W. and co - 1884 - 272 pages
...squares of ATt and BC are equal to twice the rectangle AB, BC, together with the square of AC. VIII. — If a straight line be divided into any two parts four...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 3. The diagonals of a parallelogram bisect each other. 4. To construct... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. If a straight line drawn through the centre of a circle, cut a straight... | |
 | Mathematical association - 1884 - 146 pages
...contained by AB and CE, AB and EF, AB and FD. QED COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows... | |
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If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... 
