Books Books 51 - 60 of 195 on Prove it. 6.If a straight line be bisected and produced to any point, the rectangle.... Prove it. 6.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 on half the line bisected, is equal to the square on the straight line... Government examinations, a companion to 'Under government' and a key to the ... - Page 88
by Joseph Charles Parkinson - 1860 ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...contain" ed by their sum and difference, or that AC 2 — CD 2 =(AC+CD) (AC — 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... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...on the other two sides of it; the angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the...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.... ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 318 pages
...of two quantities, is equivalent to the difference of their squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any...the square of half the line bisected, is equal to t/u; square of the straight line which is made up of the half and the part produced. Let the straight... ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...straight lines, and the other their difference, is equal to twice the squares of the same lines. LIV. * 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... ## The English journal of education, ed. by G. Moody

George Moody - 1857
...To a given straight line apply a rectangle equal to a given rectilineal figure. SECTION II. — 1. If a straight line be bisected and produced to any point, the squares of the whole une produced and the part of it produced arc together double of the squares of... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...then z2 +4z+4= 12 + 4= 16 ; extracting the square root, z + 2=4 .-.x =2. PROP. 6. — THEOR. If a st. line be bisected and produced to any point, the rectangle...half the line bisected, is equal to the square of the st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.—... ## Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

...6. The quadrilateral figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced...thus produced, and the part of it produced, together witli the square of half the line bisected, is equal to the square of the straight line which is made... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...following equations (1) f+f_£=l V ; a T3 4 2 (2) (#-5) (x-2) -(x-5) (2x-5) + (x+1) (sc-2) =0 Euclid. 1. If a straight line be bisected, and produced to any...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... ## Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858
...USE. l. PROP. V. Bootc IT. Pnot.. VI. THEOR. If u st. Um; be bisecti;d and produced to any poiiti, the rectangle contained by the whole line thus produced and the part of it produced, toyether with the square of half the line bisrcted, is equal la ihe square of the st. line which is... 