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Bøker Bok 5160 av 144If 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...of AB. If, therefore, a straight line, &c. QED PROP. III. — THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...the rectangle contained by the two parts, together mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...of AB. If therefore a straight line, etc. QED PROPOSITION III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the...the rectangle contained by the two parts, together loith the square of the aforesaid part. Let the straight line AB be divided into any two parts in the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...into any two parts : then the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in c. Then. the rectangle AB,...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...PROPOSITION III.— ТНЕОЕБИ. . ., If a straight line (AB) be divided into any two parts (AC, CB), the rectangle contained ,by the whole and one of the parts is equal to the rectangle contained by the twoparts% together with the square of the aforesaid part : that is, AB-BC = AOCB + :вс«. . ....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...THEO КЕМ. If a straight line be divided into any two parts, the rectangle contained by the inhale and one of the parts is equal to the rectangle contained by the two parts, together toith the square oftheforesaidpart. Let the straight line AB be divided into any two parts at the point...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by ttie whole and one of the parts, is equal to the rectangle contained by the twtt parts, together with the square of the aforesaid part. Let the straight line AB be divided...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...— In like manner making A equal to one of the parts, it appears that if a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided into any two parts, the rectangle contained by the whole and one of its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...interior angles on the same side together equal to two right angles. 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 of the aforesaid part. How must the line be divided so that the rectangle by the whole and part shall be equal...
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