 | 1863 - 830 Seiten
...third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination. 6. Describe a square that shall be equal to a given triangle. 7. (a) Equal chords... | |
 | Euclides - 1860 - 288 Seiten
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given the straight line AB divided into any two parts in C ; to prove that the square on AB is equal... | |
 | War office - 1861 - 714 Seiten
...angles. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle straight lines cut one another which do not both pass through the centre, they do... | |
 | University of Oxford - 1863 - 316 Seiten
...other. 10. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 11. If from the ends of the side of a triangle there be drawn two straight lines to a point... | |
 | University of Calcutta - 1864 - 388 Seiten
...third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal to a... | |
 | Euclid, Isaac Todhunter - 1867 - 424 Seiten
...THEOREM. If a straight line be divided into any two parts, the square on the whole line. is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB... | |
 | Richard Wormell - 1868 - 286 Seiten
...are respectively the sum and difference of these lines. Thus, — AB2— CD2=(AB+CD) (AB— CD). 2nd. If a line be divided into two parts, the square on the whole is equal to the sum of the squares on each part, together with twice the rectangle contained by the parts. 3rd. If a straight... | |
 | Euclides - 1871 - 136 Seiten
...segments of AC. If a straight line be divided into any two parts, the square mi the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,... | |
 | Euclides - 1874 - 120 Seiten
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the rts. Let the straight line AB be divided into any two parts at the point C : the square on AB * ' •... | |
 | Richard Wormell - 1876 - 268 Seiten
...that is, А О + В F or AF, the rectangle contained by the sum and the difference. THEOREM XLVIII. If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let А В be divided... | |
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If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 
