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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 ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...the eight rectangles and XH =AEFD — sq. on AD. QED JC G ^ V 0 JT j> it PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
Uten tilgangsbegrensning - Om denne boken ## The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...on the hypotenuse is equal to the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the part between the points of...
Uten tilgangsbegrensning - Om denne boken ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...AC, CB. Coa. The parallelograms about the diameter of it square, are likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of...
Uten tilgangsbegrensning - Om denne boken ## Pure mathematics, Volum 1

Edward Atkins - 1874
...the two unequal parts are together double of the square on half the line, and of the square on tlie line between the points of section. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; The squares on AD and DB shall be together...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...together in one straight line. Wherefore, if a straight line, &c. QED PROPOSITION 9. — Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares cm the two unequal parts are together double of the square on half the line, and of the square on the...
Uten tilgangsbegrensning - Om denne boken ## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...the square on the sum of the two lines by the square on their difference. PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
Uten tilgangsbegrensning - Om denne boken ## Pure mathematics, Volum 1

Edward Atkins - 1874
...AB and BC together. (AB+BC>». Therefore, if a straight line, &c. QED Proposition 9. — Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
Uten tilgangsbegrensning - Om denne boken ## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...angle is equal to the two interior and opposite angles. Trisect a given finite straight line. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
Uten tilgangsbegrensning - Om denne boken ## The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 13 sider
...angles ; and the three interior angles of any triangle are together equal to two right angles. 7. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...
Uten tilgangsbegrensning - Om denne boken ## Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...by four times their rectangle" (cor. to Prop. 7). PROP. IX.— THEOREM. (Euc. II. 9.) ij a slraic/ht line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together equal to twice the square on half the line, together with twice...
Uten tilgangsbegrensning - Om denne boken