Books Books 41 - 50 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

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849 - 108 pages
...AD, DB are double of the squares of AC, CD. If, therefore, a straight line, &c. QED PROP. X. THEOR. 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...

Papers for the Schoolmaster, Volume 2

1852
...equal to the squares described upon the sides which contain the right angle. 11. If a 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...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...line between the points of section (16), added together, ie double of 52.] B 4 BOOK n. PROP. X. THEOR. 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 Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...DB are double of the squares of AC, CD. If therefore a straight line, etc. QED PROPOSITION X. THEOR. 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...double of the squares of a С, С d. If therefore a straight line, &c. QED PBO POSITION X. — THEOREM. If a straight line be bisected, and produced to any point, the square of the whole luie thus produced, and the square of the part of it produced, are together double...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...DB, are double of the squares of AC, CD. Therefore, if a straight line, &c. Q ED PROP. X. THEOREM. 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...

Solutions of the problems and riders proposed in the Senate-house ...

...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle...

Solutions of the Problems and Riders Proposed in the Senate-House ...

William Walton, Bishop Charles Frederick Mackenzie - Mathematics - 1854 - 225 pages
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...contained by the sum and the difference of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle...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 at C,...