 | Euclides - Geometry - 1853 - 334 pages
...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part produced. Let the straight line AB be bisected in c and produced to D. Then the rectangle AD, DB together with the square of CB shall be equal to... | |
 | Euclid - Geometry - 1853 - 176 pages
...and the produced part, to• gether with the square on <• half the line bisected, is equal in area to the square on the straight line which is made up of the half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol. 2. . II.... | |
 | Euclides - 1855 - 270 pages
...produced, together with the square of half the line bisected, is equal to the square of the straight Kne which is made up of the half and the part produced. Let the straight line AB he bisected at C, and produced to the point D. The rectangle AD.DB, together with the square of CB,... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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. 6. If any two points be taken in the circumference of a circle,... | |
 | War office - 1858 - 578 pages
...whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight 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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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 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... | |
 | Euclides - 1858 - 248 pages
...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 the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.— 43. I., Ax. 2, 36. I., Ax 1, Def. 30. I., Cor. 4. II. Let... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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 Jine which is made up of the half and the part produced 4. Upon the same straight line, and upon the... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the reetanglt 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...part produced. Let the straight line AB be bisected in C, and produced tfl^the point D Then the rectangle AD, DB, together with the square on CB, shall... | |
 | Euclides - 1860 - 288 pages
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, is equal to the square on the straight line, which is made up of AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square... | |
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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... 
