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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 45
av Robert Simson - 1804
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 sider
...Penmanship as that set for Candidates. Write a short essay on Heat, and its rises. 1. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. What is the corresponding result in algebra ? 2. la obtuse-angled triangles,...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 sider
...together equal to the square on the whole line. . . - . . . . . . . . . . . . 145 3. If a straight line be divided into any two parts, the rectangle...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. If a straight line be divided into any two parts, the rectangle...by the whole and one of the parts is equal to the square on tJiat part, together with the rectangle contained by the two parts. Let the straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...square on AB. If therefore a straight line, &c. QE ji. PROPOS1TION III. THEOREM. iJ a itraiyht line Tie divided into any two parts, the rectangle contained by the whole and one of the parti, is equal to the rectangle contained by the tun parti, together with the square. on the aforesaid...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 sider
...straight line is equal to four times the square on half the line, PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle...the rectangle contained by the two parts together mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...right angle. Find a square equal to the difference of two given squares. Section III. 1. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts together with the square on the aforesaid part. 2. If a straight line be divided into any two parts, the squares on the...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 sider
...that a square on a straight line is equal to four times the square on half the line. 3. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part 1G Same proposition. Divide a given line so that the rectangle contained...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...the square on A B. Therefore, if a straight line, etc. QED Proposition III. Theorem. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...terms corresponding to the enunciation of the proposition.] PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the. rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 sider
...the two interior angles on the same side of it together equal to two right angles. 3. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the aforesaid part. 4. From a given point, either without or in the circumference of a circle,...
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