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 made... Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871 ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...4 = 12 + 4 = 16 : extracting the square root, x + 2 = 4 /. x = 2. PROP. 6. — THEOR. If a st. tine be bisected and produced to any point, the rectangle...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... ## Geometrical Analysis: Or the Construction and Solution of Various ...

Benjamin Hallowell - Geometry - 1872 - 286 pages
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part produced, with the square of half the line bisected, are... ## The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...the Qs on AD and DB is equal to twice the Q on AC together with twice the Q on C D. PBOPOSITION X. If a straight line be bisected and produced to any point, the square on the whole line thus formed together with the square on the produced part, is equal to twice... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...of the squares on AB, AC is equal to twice the sum of the squares on AD, BD. PROPOSITION X. THEOREM. 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... ## Civil service guide

Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...shall be equal to a given triangle, and have one of ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...produced, and the part of it produced, together with the equare of half the line bisected, is eqiml to the straight line which is made up of the half and the... ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...lines AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any...contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight... ## Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...AC, CD is equal to the rectangle contained by their sum and difference. Proposition 6.— Theorem. If a straight line be bisected, and produced to any...thus produced and the part of it produced, together ivith the square on half the line bisected, is equal to the square on the straight line which is made... ## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...rectangle contained- by the whole line and one of the parts together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that part. 1. Let the straight line AB be divided into any two parts at the point C : four... ## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...squares about the diameter are 169 and 625 square feet in area, what is the area of each complement ? 3. 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... 