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 Bøker Bok 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; viz. the first six books, together with the eleventh ... - Side 39
av Euclides - 1834
Uten tilgangsbegrensning - Om denne boken ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...its parts are together equal to the square on the whole line. . . - . . . . . . . . . . . . 145 3. If a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...square on AB. If therefore a straight line, &c. QE ji. PROPOS1TION III. THEOREM. iJ a itraiyht line Tie divided into any two parts, the rectangle contained by the whole and one of the parti, is equal to the rectangle contained by the tun parti, together with the square. on the aforesaid...
Uten tilgangsbegrensning - Om denne boken ## Primer of geometry

...squares on the whole and on the other part by twice the rectangle contained by tlie whole and that other part. Let the straight line AB be divided into any two parts in C. Then shall the square on AC be less than the squares on AB and BC by twice the rectangle AB, BC....
Uten tilgangsbegrensning - Om denne boken ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 sider
...square on a straight line is equal to four 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 two parts together mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then...
Uten tilgangsbegrensning - Om denne boken ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...divided Mo any two parts, the rectangle contained by the whole line and one of its parti is equal to th* rectangle contained by the two parts, together with the square of the for esaid part. And conversely, if there be a rectangle and the square of one of its sides, the rectangle...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...AF+CE=AE; AF=AD.AC=AB.AC, CE=CF.CB = AB. CB, AE-AB * ; AB.AC+AB.CB=AB\ Proposition 3. Theorem.—If a straight line be divided into any two parts, the...aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\ Upon BC describe (I. 41) the square CE; produce ED...
Uten tilgangsbegrensning - Om denne boken ## First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...the line, and the two interior angles on the same side of it together equal to two right angles. 3. If a straight line be divided into any two parts,...parts, together with the square of the aforesaid part. 4. From a given point, either without or in the circumference of a circle, draw a straight line which...
Uten tilgangsbegrensning - Om denne boken ## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...AC is equal to the square on A B. Therefore, if a straight line, etc. QED Proposition III. Theorem. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then...
Uten tilgangsbegrensning - Om denne boken ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...sides is a right angle. Find a square equal to the difference of two given squares. Section III. 1. If a straight line be divided into any two parts,...contained by the two parts together with the square on the aforesaid part. 2. If a straight line be divided into any two parts, the squares on the whole...
Uten tilgangsbegrensning - Om denne boken ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...this formula in terms corresponding to the enunciation of the proposition.] PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC,...
Uten tilgangsbegrensning - Om denne boken