 | John Playfair - 1855 - 334 σελίδες
...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 vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts... | |
 | John Playfair - 1856 - 346 σελίδες
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...line AB be bisected in C, and produced to the point D ; tb<; squares of AD, DB are double of the squares of AC, CD. From the point C draw (Prop. 11.1.) CE... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of 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 σελίδες
...the rectangle contained by the whole line thus produced and the part of it produced, together with the square of 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... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...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 σελίδες
...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...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... | |
 | W. Davis Haskoll - 1858 - 422 σελίδες
...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 - 248 σελίδες
...the rectangle contained by the whole line thus produced and the part of it produced, together with the square of 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,... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...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 and the part produced. 3. On the same straight line and on the same side of it there cannot be two similar segments of circles... | |
 | John Playfair - 1860 - 334 σελίδες
...the whole line that produced, and the part of it produced, together with the square of half the tine bisected, is equal to the square of the straight line...in C, and produced to the point D ; the rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe (Prop. 46.1.)... | |
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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 of half the line bisected, is equal to the square of the straight line which is made... 
