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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 Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Side 55
av Robert Simson - 1775 - 520 sider
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Annual Report

1876
...angles equal to a rectilineal angle. 4. 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. ENGLISH...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...likewise squares. Proposition 5.— Theorem. 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. Let the...
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The Teachers' assistant and pupil teachers' guide, Volum 1

1876
...double of the square on the other. 2, 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. ALGEBEA....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...altogether equal to four right angles. 2. 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. 3. If a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...BAC is equal to twice the angle CBD. 3. 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 &e. (5, IL) 9. In every triangle, the...
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Examination Christmas,1875

Education Department,London - 1876
...represented are 112,147, 84? SECTION III. 1. If a straight line be divided into two 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....
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...AL¡ and therefore BM is equal to CN. 4. 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. 5. In every...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church
...these must be greater thaw the third. 3. 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. 4. To describe...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...opposite sides will trisect the other diagonal. 3. If a straight line be divided into two equal 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. Find the...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878
...contain the right angle. Section 4. 1. 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. Construct...
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