 | Euclides - 1856 - 168 pages
...contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced...half the line bisected, is equal to the square of the line made up of the half and the part produced. Let AB (Fig. 41) be bisected in C, and produced to... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles... | |
 | War office - 1858 - 578 pages
...straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, together with the square of half the line...which is made up of the half and the part produced. 2. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
 | Euclides - 1858 - 248 pages
...to the less. Psts. 1 and 2. DEM. — 6. II. If a st. line be bisected and produced to any point, the rectangle contained by the whole line thus produced...half the line bisected, is equal to the square of the st. line which is made up of the half and of the part produced. 47. I. Iu any rt. angled triangle,... | |
 | 1858 - 398 pages
...parallelogram. BOOK II. 7. PROP. VI. — 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 witli the square of half the line bisected, is equal to the square of the straight line which is made... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the... | |
 | Euclides - 1858 - 136 pages
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the 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... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...parallelogram. BOOK II. 7. PEOP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...which is made up of the half and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute... | |
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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... 
