| Euclides - 1855 - 262 sider
...of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by the whole line...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,... | |
| John Playfair - 1855 - 334 sider
...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... | |
| Euclides - 1856 - 168 sider
...rectangle contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line...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 sider
...angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the rectangle contained by the whole line...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 sider
...difference of their squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line...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 - 1858 - 694 sider
...other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line...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... | |
| Euclides - 1858 - 248 sider
...a part equal to the less. Psts. 1 and 2. DEM. — 6. II. If a st. line be bisected and produced to any point, the rectangle contained by the whole line...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,... | |
| War office - 1858 - 578 sider
...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...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,... | |
| 1858 - 398 sider
...other is a parallelogram. BOOK II. 7. PROP. VI. — 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 witli the square of half the line bisected, is equal to the square of the straight line which is made... | |
| Euclides - 1858 - 136 sider
...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... | |
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