...numbers so formed will be greater than 23,000? 7. (a) Divide a given straight line 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. (6) If an angle of a triangle be bisected by a straight...

...Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...

...many answers to Q.'s 24, 2f,, 26. Q. 21. Show how to divide a given straight lino 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. If A, B, C be three given straight lines, show how to...

...area would be doubled by increasing its radius 1 in. (Take 3} for тт.) 30. Divide a line 20 in. long into two parts, such that the rectangle contained by the whole line and one part may be equal to the square on the other part. Exercise 215. Review of Chapters I-XVIII Solve the...

...area would be doubled by increasing its radius 1 in. (Take 3} for тг.) 30. Divide a line 20 in. long into two parts, such that the rectangle contained by the whole line and one part may be equal to the square on the other part. Exercise 150. Review of Chapters I-XVII Solve the...

...units is inscribed in a circle of diameter 1 3 units ; find its sides. 27. Divide a line 1 foot long so that the rectangle contained by the whole line and one of the parts may be equal to twice the square on the other part. 28. Divide a line 10 inches long eo that the rectangle...

...mean proportional between two lines or two numbers. He also seems to have been able to divide a line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square on the other part. Expressed algebraically, if a is the length of the line and...

...that if two squares are of equal area, their sides are equal and conversely. 3. Divide a straight line into two parts such that the rectangle contained by...and one of the parts shall be equal to the square on the other part. Divide a given straight line into two parts such that the square on one part shall...

...the parts of a straight line will be greatest when the parts are equal. 7. To divide a straight line into two parts such that the rectangle contained by the whole line, and one of the parts may be equal to the square on the other part. If AB bo the straight line, ABCD the square on it, H...

...by the parts. 10. Divide a straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 11. In a circle the angle in a semi-circle is a right angle. If two sides of a triangle be given the...