| Civil service - 366 pages
...The quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. — **If a straight line be bisected and produced to any...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 up of the half... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP. VI. — **If a straight line be bisected and produced to any...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 up of the half... | |
| Royal college of surgeons of England - 1860 - 336 pages
...equal. 4. Straight lines which are parallel to the same straight line are parallel to one another. 5. **If a straight line be bisected and produced to any...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 up of the half... | |
| 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... | |
| John Playfair - Geometry - 1860 - 332 pages
...difference, or that AC 2 —CD 2 =(AC+CD) (AC— • : CD)." SCHOLIUM. PROP. VI THEOR. Ifastraightlinebe **bisected, and produced to any point ; the rectangle contained by the whole line** that produced, and the part of it produced, together with the square of half the tine bisected, is... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 608 pages
...line, so that the sum of the squares on the given line and the part produced may be equal to twice **the rectangle contained by the whole line thus produced, and the part** produced. 8 If a point be taken within a circle from which there fall more than two equal straight... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...of the squares on AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION X. THEOREM. **If a straight line be bisected, and produced to any point, the** square en the whole line thus produced, and the square on the part of it produced, are together double... | |
| War office - 1861 - 714 pages
...line from a given point of the same, and show that two straight lines cannot have a common segment. 2. **If a straight line be bisected and produced to any...and the part of it produced together with the square** of half the line bisected, is equal to the square of the line which is made up of the half and part... | |
| Euclides - 1862 - 172 pages
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then **the rectangle contained by the whole line thus produced,...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 up of the half... | |
| Euclides - 1862 - 140 pages
...squares on AC and CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 10.— THEOREM. **If a straight line be bisected, and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
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