Books Books 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... An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 294
by Charles Butler - 1814 ## The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...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 up of the half and the part produced. SECTION IV. 1. If two circles cut... ## Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus 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 and the part produced. ANSWERS TO THE EXAMINATION PAPER... ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 pages
...square of the parts produced (4), are together double of the square of half the line bisected (9), and the square of the line made up of the half and part produced (25). These two Propositions may be omitted at the first reading.] PEOP. XL PROB. To divide a given... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...produced to any point, lJie 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 up of the half and the part produced. Let the straight line AB be bisected... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...produced to any point, the rectangle contained by the whqle 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 up of the half and the part produced. LET the straight line ab he bisected... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 tfie straight line which is made up of the half and the part produced. Let the straight line AB be... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...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 Kne which is made up of the half and the part produced. Let the straight line AB he bisected... ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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...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... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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 right line which is made up of the half and the part produced. Prove this proposition algebraically.... 