 | 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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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... 
