Books Books 91 - 100 of 191 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 ## Civil service guide

...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
...unequ*' 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...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

1874
...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 by C ...

Charles Mansford - 1874
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie rectangle contained by the whole line thus produced,...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half... ## Recent military, naval, and civil service examination papers in mathematics ...

1874
...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... ## The Elements of Euclid, containing the first six books, with a selection of ...

...the squares on AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION 10.— 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... ## Annual Report of the Commissioners ..., Volume 40

1874
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. 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... ## Pure Mathematics, Volume 1

1874
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... ## Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

James Bryce - 1874
...line. How many solutions are there? When is the problem impossible? 13. Produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given square. 14. Divide a line into two parts, so that the sum of the... 