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" 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 first six books of the Elements of Euclid, with numerous exercises - Σελίδα 42
των Euclides - 1853 - 147 σελίδες
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 σελίδες
...О draw .L to diameter. Segments of diameter are sides of required CD. (P. x.) i9. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. I. Erect a .L at one end of...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...opposite sides is equal to the sum of squares on the other pair. 4- (a) To divide a given straight line into two parts so that the rectangle contained by the whole and one part shall be equal to the square on the other part, (b) Show that when a line is divided as in this...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...opposite sides is equal to the sum of squares on the other pair. 4. (a) To divide a given straight line into two parts so that the rectangle contained by the whole and one part shall be equal to the square on the other part, (b) Show that when a line is divided as in this...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...the square on BD and three times the square on AD. 156 PROPOSITION 11. To divide a, given 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*. Let AB be the given straight line : it is required...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...116 square yards ; find the dimensions of the room. (25.) B. 27. Show how 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 on the other part. Given a line AB, show how to produce it to a point P,...

The Manitoba School Question

Frederick Coate Wade - 1895 - 122 σελίδες
...Construct a rectangle equal to the difference between two given squares. 5. 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 on the other part. If one side of a triangle be bisected, the sum of the...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 657 σελίδες
...to the square on BD and three times the square on AD. 156 PROPOSITION 11. To divide a given 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*. Let AB be the given straight line : it is required...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...two parts, together with twice the rectangle contained by the parts. 5. To divide a given 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. 6. In every triangle, the square on the side subtending...

Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - 1896 - 273 σελίδες
...J PF. (g 232) .-. GP: PF=3 : 5. Ex. 274. To divide a line into three parts proportional to 2, f, J. Let AB be the given straight line. It is required to divide AB into parts proportional to 2, J, and J. ^^ n CONSTRUCTION. Divide AB into parts proportional to...

Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897
...two parts. II. 4. (6) Deduce II. 7. from propositions II. 4. and II. 3. 6. 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 on the other part. II. 11. 7. (a) Prove that if two circles touch one another...




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