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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 of the line between the points of section, is equal to the square of half the line.
The examination papers as set for the preliminary literary examination of ... - Σελίδα 1
των Royal college of surgeons of England - 1860
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. If a straight line be divided into two equal parts...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. 4. The diameter...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts and alsc 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. Let the straight...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 σελίδες
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, w equal to the square of the line made up of the half and the part produced. For, CD being bisected...

The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...AB be divided in C, the squares on AC, CB together are least when C is the middle point of AB. 5.If a straight line be divided into two equal parts, and...section, is equal to the square of half the line. The difference between the squares on any two straight lines is equal to the rectangle contained by...

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...line, an acute-angled triangle, a rhomboid. 2. Bisect a finite straight line. 3. If a straight line is divided into two equal parts and also into two unequal...section, is equal to the square of half the line. 4. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...square on BO is less than four times the square on AD, the triangle BAG is an acute-angled triangle. 3. If a straight line be divided into two equal parts...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. Show that the square...

Military examinations. Mathematical examination papers, set at entrance to ...

...a conical tent 8 feet in perpendicular height with a radius of 6 J feet ? t, 2 MATHEMATICS. (2.) 1. If a straight line be divided into two equal parts,...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. State and explain...

The Educational Journal of Virginia

...Question. — Can the 5th proposition of Euclid, Book II., be found in American or French Geometries? viz: "If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square of one-half the line." This truth...

The Bombay university calendar, Τόμος 1

Bombay city, univ - 1880
...angles with the diagonal through the same angular point, prove that the parallelogram is a rhombus. 2. If a straight line be divided into two equal parts...contained by the unequal parts, together with the square on the line Ijetween the points of section, is equal to the square on half the line. Deduce that the...

Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 σελίδες
...produced until EF=EB, and GJJ=DC, show that the line GF passes through A. "• 3. If a straight Hue be divided into two equal parts and also into two...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. Prove that the...