 | Cambridge univ, exam. papers - 1856 - 252 pagina’s
...on the other two sides of it; the angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the...half the line bisected, is equal to the square of the right line which is made up of the half and the part produced. Prove this proposition algebraically.... | |
 | Euclides - 1856 - 168 pagina’s
...unequal lines AC, CD is equal to the rectangle contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle...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 - 1856 - 346 pagina’s
...quantities, is equivalent to the difference of their squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the...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 - 1858 - 694 pagina’s
...figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle...line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles,... | |
 | Euclides - 1858 - 248 pagina’s
...then z2 +4z+4= 12 + 4= 16 ; extracting the square root, z + 2=4 .-.x =2. PROP. 6. — THEOR. If a st. line be bisected and produced to any point, the rectangle...half the line bisected, is equal to the square of the st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.—... | |
 | 1858 - 398 pagina’s
...figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle...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... | |
 | War office - 1858 - 578 pagina’s
...(1) f+f_£=l V ; a T3 4 2 (2) (#-5) (x-2) -(x-5) (2x-5) + (x+1) (sc-2) =0 Euclid. 1. If a 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 bisected, is equal to the square of the straight line which... | |
 | Euclides - 1858 - 136 pagina’s
...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 pagina’s
...parallel straight lines towards the same parts are also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the rectangle...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... | |
 | Civil service - 366 pagina’s
...quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. — If a straight line be bisected and produced to any point, the rectangle...line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles,... | |
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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, together with the square... 
