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Bøker Bok 5160 av 192If a straight line be divided into two equal parts, and also into two unequal parts;...
" 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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 56
av John Playfair - 1832 - 333 sider
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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
...square are likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, and also into two unequal parts, the rectangle contained...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...are likewise squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained...points of section, is equal to the square of half the Une. LET the straight line ab be divided into two equal parts in the point С, and into two unequal...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then the rectangle contained by the unequal parts together with the square of the part of the line intercepted between the points of section, shall be equal to the square of half the...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...л straight line (AB) be divided into two equal parts (inC), and also info two unequal parts (in D), the rectangle contained by the unequal parts, together with the square of (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...into turn equal parts, and also into two unequal part'; the rectangle contained by the unequal parta, together with the square of the line between the points of section (or division), is equal to the square of half the line. Let the straight line AB be divided into two...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...square of half the line. Let the straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two unequal parts at the point D;...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal and also into two unequal parts; the rectangle contained...of section is equal to the square of half the line. State this result algebraically. 5. Draw a straight line from a given point, either without or in the...
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National Society's Monthly Paper

1857
...If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the...section, is equal to the square of half the line. 6. To describe a square that shall be equal to a given rectilineal figure. 7. If a point be taken within...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained...of section is equal to the square of half the line. 2. Equal straight lines in a circle are equally distant from the centre ; and those which are equally...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volum 2

Euclides - 1858
...IV. HOOK II. 89 PüOP. V. THEOB. If a st. line be divided into two equal parts, and also into ttco unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line. CUN. 10. 1, Pst 1. 31. I. DEM. 43. I. Лх. 2 :il¡. I. Ax. 1. Def. 30. I. Cor. 4. II, 34. I. KXP....
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