Books Books 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 of the square on half the line bisected; and of the square on the line made up of the... Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages ## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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 half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...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 half and the part produced. LET the straight line ab be bisected in С and produced to the point d; the squares of ad, db are double of... ## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...produced and the part of it produced shall be double of the squares of half the bisected line, and 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 of AD, DB shall be double of... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 half and the part produced. Let the straight line AB be bisected in C, and produced to the point D; the squares of AD, DB, are double of... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 half and the part produced. Let the straight line AB be bisected in C, and produced to the point D : the squares of AD, DB are double of... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...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 half and the part produced. Let the straight line AB be bisected in С, and produced to the point D. - The squares of AD and DB, are together... ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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. Let AB (Fig. 41) be bisected in C, and produced to D. The rectangle AD, DB, together with the square of... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...the line made up of the half and the part produced. Given the straight line AB, bisected in C, and produced to the point D ; to prove that the squares... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...part of it produced, are together double of the square on half the line bisected, and of the sguart 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... 