Books Books AB be the given straight line ; it is required to divide it 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. The First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages ## The Guide to the Indian Civil Service: Containing Directions for Candidates ...

Alexander Charles Ewald - Civil service - 1870 - 292 pages
...what does the merchant gain or lose by the transaction ? 2. Divide a 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. 3. Prove that equiangular parallelograms have to one... ## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...twice sq. on AC together with twice sq. on CD. QED; To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. x) Let AB be the given st. line. On AB descr. the sq.... ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...parts shall be equal to the square of the other part. It is required to divide AB 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. Upon AB describe the square ACDB ; TG bisect AC in... ## The Madras University Calendar, Volume 1

University of Madras - 1874 - 502 pages
...THURsDAY, 12rn FEB., 2 TO 5 PM GEOMETRY. H. FORTEI, MA I. Divide a 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. Divide a line AB in C so that the rectangle contained... ## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...and PG, and is .-. = the square on GQ, (i. 35) PROBLEM B. To divide a 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. Let PQ be the given straight line. On PQ describe the... ## Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 pages
...on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. CONSTRUCTION. — Upon AB describe the square ABDC... ## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...between the same parallels, are equal to one another. 3. 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 on the larger of the two parts into which the given... ## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...the other part. 1. Let AB be the given straight line : it is required to divide it 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. _ On AB describe the ^' square ABDC ; bisect AC in E;... ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...straight line, &c. QED PROPOSITION 11.— Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. Let AB be the given straight line. It is required to... 