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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Σελίδα 88
των Robert Potts - 1868 - 410 σελίδες
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...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...section, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally in P. Then must reel. AD, DB together with sq. on...

The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 σελίδες
...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...section, is equal to the square on half the line. 3. If a straight line be bisected, and produced to any point, the square on the whole line thus produced,...

The Teachers' assistant and pupil teachers' guide, Τόμος 1

1876 - 400 σελίδες
...divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal Q parts together with the square on the line between...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through...

Annual Report

1876 - 710 σελίδες
...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...section,, is equal to the square on half the line. ENGLISH GRAMMAR AND COMPOSITION. FIRST AND SECOND DIVISIONS. 1. Define case, indicative mood, sentence....

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!» the square on the line between the points of section is equal to the square on h:ilf the line. If the t\vo unequal parts are in the ratio 1 : 7 the rectangle contained by the unequal...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...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 &e. (5, IL) 9. In every triangle, the square on the side subtending an acute angle is less than the...

The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 σελίδες
...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...section, is equal to the square on half the line. 4. To describe a square upon a given straight line. 5. To describe a right-angled triangle upon a given...

Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 σελίδες
...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...section, is equal to the square on half the line. 5. In every triangle, the square on the side subtending either of the acute angles, is less than the...

Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 σελίδες
...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...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...

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

Sandhurst roy. military coll - 1880 - 68 σελίδες
...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...of section is equal to the square on half the line. State and explain Euclid's corollary to this proposition. 2. In obtuse-angled triangles, if a perpendicular...




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