Books Books AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. 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.... ## First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...side of the base shall be equal to one another. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on... ## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...straight line, etc. QED Proposition VII. Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on... ## The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...the squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) 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.... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...are double of the squares on AC, CD. Wherefore, if a 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 may be equal to the square on the other part.... ## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...square on AC = the square on CD. PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... ## Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. 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.... ## Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...rectangle contained by AB and CD," " rect. AB, CD."] 1. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... ## The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...Distinguish clearly between a theorem and a problem. 6. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... 