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If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made...
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871

## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...side of the ground and back to the other post: determine the shortest course for him to pursue. 5. If a straight line be bisected and produced to any...rectangle contained by the whole line thus produced, ond the part of it produced, together with the square of half the line bisected, is equal to the square...

## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...straight line (AB) be bisected (at G), and produced to ang point (D). the rectangle (AD. DB) contained bg the whole line thus produced, and the part of it produced, together with the square of (CB) half the line bisected, is equal to the square of the straight line (CD) which is made up of...

## Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 9. 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...

## Guide to the Civil service

Henry White - 1864 - 156 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...

## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...rectangle PF. PC may be equal to the rectangle PD. PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...

## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...

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

Robert Potts - 1865 - 528 pages
...be the line so divided in the points C and Dj (fig. Euc-. n. 5) shew that A IP = 4.CD'i 4.AD.DB. 9. If a straight line be bisected and produced to any point, the square on the whole line when thus produced, is equal to the square on the part produced and four times...

## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...double of the square on half the line, and of the square on the intermediate part ......... 1.9. 4. If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double...