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 Bøker Bok IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. The Elements of Euclid; viz. the first six books,together with the eleventh ... - Side 58
av Euclides - 1841 - 351 sider
Uten tilgangsbegrensning - Om denne boken ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOR. If a straight line be divided into two equal, and also...square of the line between the points of section. From the point c draw (i. 11.) CE at right angles to AB, and jnake it equal to AC or CB, and join EA,...
Uten tilgangsbegrensning - Om denne boken ## Papers for the Schoolmaster, Volum 2

1852
...equal to the squares of the two parts, together with twice the rectangle contained by the paits. 2. If a straight line be divided into two equal and also...square of the line between the points of section. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...
Uten tilgangsbegrensning - Om denne boken ## Papers for the schoolmaster, Volum 3

1867
...up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If a str tight line he divided into two equal, and also into two unequal...square of the line between the points of section. , Illustrate this by Algebra. 2. Divide a given straight line into two parts, so that, the rectangle...
Uten tilgangsbegrensning - Om denne boken ## Annual Report of the Commissioners ...

1851
...straight line be d ividedinto two equal and 20 7 also into two unequal parts, the squares of the imequal parts are, together, double of the square of half the line, and of the square of the intermediate part, . 4. Explain what is meant by the term multiplica— 17 7 tion, when the factors...
Uten tilgangsbegrensning - Om denne boken ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...is, of AB and BC added together in one straight line. H X G T / K / / R BOOK II. PROP. IX. THEOR. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts: the squares of AD, DB are together...
Uten tilgangsbegrensning - Om denne boken ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...together in one straight line. Wherefore, if a straight Une, &c. QED PROPOSITION IX. — THEOREM. If a straight line be divided into two equal, and also...points of section. LET the straight line ab be divided at the point С into two equal, and at d into two unequal parts : the squares of ad, db are together...
Uten tilgangsbegrensning - Om denne boken ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOREM. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts; the squares of AD, DB, are together...
Uten tilgangsbegrensning - Om denne boken ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...added together in one straight line. Wherefore, if a straight line, etc. QED PROPOSITION IX. THEOR. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts ; the squares of AD, DB are together...
Uten tilgangsbegrensning - Om denne boken ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 sider
...and adding c2 to each member of this equality, we shall have, or 4a4+c2=(cf-24)2. PROP. IX. THEOR. If a straight line be divided into two equal, and also...two unequal parts are together double of the square ofhalj the line, and of the square of the line between the points of section. Let the straight line...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...parts : then the squares of the two unequal parts shall be double of the square of half the line, and the square of the line between the points of section. Let the straight line AB be bisected in c and divided into two unequal parts AD, DB in D. Then the squares of AD, DB shall be double...
Uten tilgangsbegrensning - Om denne boken