| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - Mathematics - 1853
...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... | |
| 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... | |
| 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... | |
| Cambridge univ, exam. papers - 1854
...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... | |
| 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... | |
| 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,... | |
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