 | John Playfair - Euclid's Elements - 1855 - 340 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...line AB be bisected in C, and produced to the point D ; ihe rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe... | |
 | 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,... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...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... | |
 | Euclides - 1856 - 168 pages
...straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of C B. Let CEFB be the square on CB, BE its diameter ; DHG, parallel to... | |
 | 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
...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
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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...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 be equal to the square... | |
| |
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... 
