 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.... | |
 | 1882 - 486 σελίδες
...twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Divide a given ttraight line into two parts so that the... | |
 | Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...B and from to D, shew that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...on the straight line which is made up of the whole ami the first part. Let the st. line AB be divided into any two parts in C. Produce AB to D, so that... | |
 | Joseph Hughes - 1883 - 568 σελίδες
...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,... | |
 | 1883 - 654 σελίδες
...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,... | |
 | Mathematical association - 1883 - 86 σελίδες
...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.... | |
 | University of Glasgow - 1883 - 438 σελίδες
...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 σελίδες
...(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... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...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 times the rectangle...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... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...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... | |
| |
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... 
