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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 on the line between the points of section, is equal to the square on half the line. "
Elementary Geometry: Practical and Theoretical - Side 206
av Charles Godfrey, Arthur Warry Siddons - 1903 - 355 sider
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 176 sider
...the segments, together with twice the rectangle under * each pair of segments. / The rectangle under the unequal parts, together with the square on the line between the points of section, is equal in area to tho square on half the line. .The sum of the squares on the unequal parts is equal...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...straight line be divided into two equal parts, aid also into two unequal parts, the rectangle containet by the unequal parts together with the square on the line between the points of section is equal to tie square on half the line. 4. The angles in the same segment of a circle are equaf to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...V. THEOREM. If a straight line be divided into two equal parts, and also into tteo unequal parts ; the rectangle contained by the unequal parts, together...square on the line between the points of section, it equal to the square on half the line, Let the straight line AB be divided into two equal parts in...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...THEOREM. -;I| If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...square on the line between the points of section, is equal to the square on half the line. Given the straight line AB, divided into two equal parts in...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...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...square on the line between the points of section, ^s equal to the square on half the line. (References— Prop. I. 31, 34, 36, 43, 46; II. 4, cor.) Hypothesis....
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Responsions

University of Oxford - 1863 - 328 sider
...are opposite. 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...square on the line between the points of section, is equal to the square on half the line. 4. Bisect a given rectilineal angle. 5. Shew that two straight...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...PROPOSITION V. 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...square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 sider
...together 1 10. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts together...the square on the line between the points of section is equal to the square on half the line. Hence show that a square is the greatest rectangle of given...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...PROPOSITION V. 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...square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y 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 line AB be divided into two equal parts at...
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