Books Books 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... Elements of geometry, containing the first two (third and fourth) books of ... - Page 86
by Euclides - 1871 ## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...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. 2. Given a straight line divided as in proposition 11 ; prove that the... ## Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...thus produced and the part of it produced, together •»ith 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. Male Candidates—First Year. 19 2. In every triangle, the square on the... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...line thus produced and the part of it produced, together with the square on half the line bisected, M equal to the square on the straight line which is made up of the half and the part produced. At Let the st. line AB be bisected in C and produced to D. Then must rect.... ## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 cftiie half and the part produced. Let the straight line AB be bisected in C, and produced to D ; AD-DB... ## Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

...several parts into which the other is divided. COR. T. 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.... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...other part. Let AB\vt the given straight line. It is required to divide 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 FO CK 1) Upon AB describe the square A CDB ; (I. 46.)... ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...AB:BC = AD:DE. PROBLEM XX. To divide a straight line in extreme mean ratio — that is to say, so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Let AB be the straight line. Construct the square ABDE... ## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...whole line thus produced, and the part 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. The angle at the centre of a circle is double of the angle at the circumference... ## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...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. The angle at the centre of a circle is double of the angle at the circumference... 