 | John Playfair - Geometry - 1855 - 334 pages
...SCHOLIUM. PROP. VI THEOR. If a straight line be bisected, and produced to any point; the rectangle contamed by the whole line thus produced, and the part of it...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclides - 1856 - 168 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 rectangle...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.... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...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 rectangle...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
...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...half the 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,... | |
 | 1858 - 398 pages
...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 pages
...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 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
...bisect a given finite straight line, that is, to divide it into two equal parts. 3. 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 pages
...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...half the 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... 
