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" If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 52
των Robert Simson - 1781 - 466 σελίδες
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...the part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD'...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...it produced, are toyclhcr double of the square on half the line bisected, and of the square mi t/ie line made up of the half and the part produced. Let the straight line AB be bisecteu in C, and produced to D ; AP5+1?,I'3 The squares on AD and DB shall be...

Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...produced, together with the square on half the line bisected, is equal to the square on the slraiyht line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D, the rectangle contained by |L the whole line AD,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. • Then the squares on AD, DB, shall...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to D ; The squares on AD and DB shall be together double...

Edinburgh Medical Journal, Τόμος 21,Μέρος 1

1876 - 610 σελίδες
...the part of it produced, together with the square of half the line bisected, is equal to the square of the line made up of the half and the part produced. 5. To describe a square which shall be equal to a given rectilineal figure. Euclid, Book 3. 2. The...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 σελίδες
...part of it produced are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D. Then the squares on AD, DB shall be double of...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...produced, together with the square of the line between the points of section, w equal to the square of the line made up of the half and the part produced. For, CD being bisected in B and produced in A, we have, adding DB* to the last equals, AC.AD+DB * Proposition...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let AB be bisected in C and produced to D. Then shall sqs. on AD, DB be double sqs. on AC, CD. _w Constr....




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