 | Royal college of surgeons of England - 1860 - 332 páginas
...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... | |
 | John Paxton Hall - 1860 - 186 páginas
...The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 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 páginas
...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... | |
 | John Playfair - 1860 - 334 páginas
...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 - 612 páginas
...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 - 1860 - 380 páginas
...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 páginas
...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 páginas
...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 páginas
...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... | |
 | Robert Potts - 1863 - 482 páginas
...side of the ground and back to the other post: determine the shortest course for him to pursue. 5. If a straight line be bisected and produced to any...rectangle contained by the whole line thus produced, ond the part of it produced, together with the square of half the line bisected, is equal to 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, together with the square of half the line bisected, is equal to the square of the straight line which is made... 
