Books Books If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872 ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...manifest, that parallelograms about the diameter of a square. are likewise squares. PROPOSITION 5. THEOREM. unequal parts, together with the square on the line...between the points of section, is equal to the square on tuilf the line. Let the straight line AB be divided into two equal parts at the point C, and into two... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...segments of the toe, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectanrjle contained by the unequal parts, together with the square on the line between the points... ## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...intersect at right angles to one another. 5. If a straight line be divided into two equal and also two unequal parts, the rectangle contained by the...of section is equal to the square on half the line. If of the two unequal parts one is three times the other, shew by means of the above proposition that... ## The Civil service year book and official calendar

1884 - 266 pages
...the three interior angles of every triangle'are together equal to two right angles. 3. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 4. A segment of... ## The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...= AB = CF. Hence В is the middle point of DF, and С the middle point of EF. QEF 2. If a straight line be divided into two equal parts, and also into two unequal parts, together with the square on the line between the points of section, is equal to the square on half... ## Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...pair of opposite sides shall be equal to the sum of the squares on the other pair. 5. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. Enunciate any other proposition of the second book in which this theorem is used. 6. The opposite angles... ## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...rectangle contained by the two parts, together with the square on the aforesaid part. 6. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. 7. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... ## Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1302 pages
...produced until EF=Eli, and <;D=I>C, show that the line (.'/•' pa>-« through A. '¿. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. Prove that the area of a square is greater than the area of a rectangle of the same perimeter. 4. Describe... ## The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...into two unequal parts at D, and for BD put a, and for DC put b, we get the theorem : If a sect is divided into two equal parts, and also into two unequal...square on the line between the points of section, is equivalent to the square on half the sect. 297. If CD == b, and AC = a + b, then their sum AD = a +... 