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... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 89
by Robert Potts - 1860 - 361 pages ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...difference. PROP. VI. — THEOREM. 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 tfie straight line which is made up of the half... ## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...and the produced part, to• gether with the square on <• half the line bisected, is equal in area to the square on the straight line which is made up of the half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol. 2. . II.... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...THEOREM. If a straight line be bisected, and 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... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...other leg. PEOP. VI. THEOBEM ya ttraight 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 Kne which is made up of the half... ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...SCHOLIUM. PROP. VI THEOR. If a straight line be bisected, and produced to any point; the rectangle contamed 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... ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...their sum and difference. LI. 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 line made up of the half and the part produced.... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...two sides is a right angle. 5. If a right 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 right line which is made up of the half and... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...2=4 .-.x =2. PROP. 6. — THEOR. If a st. 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 st. line which is made up of the half and... ## Parliamentary Papers, Volume 25

...parallelogram. BOOK II. 7. PROP. VI. — 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 up of the half... 