 | John Playfair - 1855 - 334 pagina’s
...contain" ed by their sum and difference, or that AC 2 — CD 2 =(AC+CD) (AC — 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 produced, together with the square of... | |
 | 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.... | |
 | John Playfair - 1856 - 346 pagina’s
...of two 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...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... | |
 | Euclides - 1856 - 168 pagina’s
...straight lines, and the other their difference, is equal to twice the squares of the same lines. LIV. * 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... | |
 | 1857 - 1266 pagina’s
...To a given straight line apply a rectangle equal to a given rectilineal figure. SECTION II. — 1. If a straight line be bisected and produced to any point, the squares of the whole une produced and the part of it produced arc together double of the squares of... | |
 | 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
...angle. 6. The quadrilateral figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced...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
...following equations (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...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
...arrangement.] 1. To 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...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... | |
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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... 
