 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...  Elements of geometry, based on Euclid, books i-iii - Page 69by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | W J. Dickinson - Geometry - 1879 - 44 pages
...straight lines is equal to the rectangle contained by the sum and difference of those lines. Prove it. 6. 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... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 9. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part produced, together with the square... | |
 | Edward Harri Mathews - 1879 - 94 pages
...angle EDF is equal to the angle A, and that the figure AEDF is half the triangle ABC. Section III. 1. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part produced, together with the square... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...that in Prop. V. the rectangle AD, DB, together with the square on CD = the square on AC. PROP. VI. THEOREM. 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... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...measure 277£ cubic inches, find the rate at which the surface of the water rises in the reservoir. 1. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight lines AC, CD, is equal to the rectangle contained by their sum and difference. PROPOSITION 6. THEOREM. 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 tlie... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...to construct a straight line, the square on which shall be any given multiple of a given square. 4. If a straight line be bisected and produced to any point the rectangle contained by the whole line thus produced, and the part produced, together with the square... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...the rectangle contained by the sum and the difference of the hypotenuse and the other leg. PROP. VI. THEOREM 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 wit A the... | |
 | Education, Higher - 1883 - 536 pages
...theorem. 4. Parallelograms on equal bases and between the same parallels are equal to one another. 5. 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... | |
 | Education - 1882 - 676 pages
...with the square on the line between the points of section, is equal to the square on half the line. 3. If a straight line be bisected, and produced to any...together double of the square on half the line bisected, ani of the square on the line made up of the half and the part produced. i. Reduce form. 2. Solve the... | |
| |
