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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 47
av Robert Simson - 1762 - 466 sider
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The Teachers' assistant and pupil teachers' guide, Volum 1

1876 - 400 sider
...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 - 1876 - 784 sider
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 sider
...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 - 126 sider
...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 - 134 sider
...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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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 sider
...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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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 sider
...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 sider
...either of the interior opposite angles. 6. 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. 7. In a...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...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...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 sider
...triangle ABC is an acute-angled triangle. 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. Show that...
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