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Bøker Bok 7180 av 140If a straight line be divided into any two parts, the rectangle contained by the...
" 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 - Side 41
av Euclid - 1838 - 416 sider
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, it equal to the rectangle contained by the two parts, together with the square on the aforesaid part....
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...equal to the rectangles under the whole and each of the parts . . . . . II. 2. 2. The rectangle under the whole and one of the parts, is equal to the rectangle under the two parts, together with the square on the aforesaid part . . . . . . . n. 3. 3. The square...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair, Euclid - 1855 - 317 sider
...equality by a, we shall have a2=«A + a</ PE Q KLD PROP. III. THEOR. tf a straight line be divided into any two parts, the rectangle contained by the...the parts, is equal to the rectangle contained by the tttm parts, together with the square of the aforesaid part. Let the straight line AB be divided...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...on AB. Wherefore, if a straight line &c. QED PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point (7: the...
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Examination papers collected by A. Clark as a student and as an examiner

1867
...which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained ky the whole and one of the parts, is equal to the rectangle contained by the twa parts, together with the square on the aforesaid part. Let the straight line AB be divided...
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THE EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...equal, in order that the triangles may be equal in every respect ? 3. If a straight line be divided into any two parts, the rectangle contained by the...parts, together with the square of the foresaid part. 4. Equal straight lines in a circle are equally distant from the centre; and those which are equally...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...a straight line is equal to four times tlie square on half the line. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...to forr times the square on half the line. PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,...
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The acting teacher's and student's in training guide and text book for ...

Henry Major - 1873
...together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line lie divided into any two parts, the rectangle contained by the...by the two parts, together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle AB, BC, is...
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