 | Euclides - 1856 - 168 pages
...part of it produced, together with the square of 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 D. The rectangle AD, DB, together with the square of... | |
 | Euclides - 1860 - 288 pages
...contained by the lines. 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...the line made up of the half and the part produced. Given the straight line AB, bisected in C, and produced to the point D ; to prove that the squares... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 the square on half the line bisected, and of the sguart on the line made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclides - 1862 - 140 pages
...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...the line made up of the half and the part produced. (References— Prop. I. 5, 6, 11, 15, 29, 31, 32, 46, 47.) Hypothesis. — Let the straight line AB... | |
 | Euclides - 1862 - 172 pages
...the half and the part produced. (References— Prop. i. 5, 6, 11, 15, 29, 31, 32, 34, 46 Cor. 47.) Let the straight line AB be bisected in C, and produced to the point D. CONSTRUCTION From the point C draw CE at right angles to AB ; (i. 11) make it equal to AC or CB, (i.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...given point without it. 8. 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...the line made up of the half and the part produced. 9. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
 | Euclides - 1864 - 262 pages
...PROPOSITION X. 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 the square on half the line bisected, and of the sgjtare on the line made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclides - 1864 - 448 pages
...PROPOSITION X. THEOREM. ff a straight line be bisected, and produced to ang point, the square on Hie whole line thus produced , and the square on the part...double of the square on half the line bisected, and of tlie square on the line made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Robert Potts - 1865 - 528 pages
...PROPOSITION X. 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...half and the part produced. Let the straight line AB ba bisected in C, and produced to the point D. Then the squares on AD, DB, shall be double of the squares... | |
 | Euclides - 1865 - 402 pages
...part ......... 1.9. 4. 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...square on the line made up of the half and the part prodnced . . . . . . . II. 10. C. Relating to a Straight Line divided into any number of parts, and... | |
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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 of the square on half the line bisected, and of the square on the line made up of the... 
