 | Edinburgh univ - 1868 - 334 σελίδες
...Parallelograms upon equal bases and between the same parallels are equal. 4. Prove Prop. 47, BI 5. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 6. If a straight line touch a circle,... | |
 | Woolwich roy. military acad - 1868 - 426 σελίδες
...child go ? 11. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a... | |
 | 1868 - 344 σελίδες
...line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained by the whole...part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the... | |
 | Schools inquiry commission - 1868 - 532 σελίδες
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole...that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares of the two numbers... | |
 | Robert Potts - 1868 - 434 σελίδες
...CB, is equal to the square on CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of Uie parts, are equal to twice the rectangle contained by the whole... | |
 | Euclides - 1870 - 270 σελίδες
...= li8— = 7952.4 miles; and 7952.4-2.5= 7949.9, the earth's diameter. PBOP. 7. — THEOB. If a st. line be divided into any two parts, the squares of...contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30.... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...demonstration so as to bring out distinctly the property of straightness to which you appeal. tained by the whole and that part together with the square of the other part. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
 | Euclides - 1871 - 136 σελίδες
...Shew that Propositions V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...VII. THEOREM. If a straight line be dirided into any two parts, the squaret on the whole line and on one of the parts are equal to twice the rectangle...by the whole and that part together with the square on the other part. l» TM Let AB be divided into any two parts in C. Then imist *qq. on AB, BC= twice... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...fifth proposition the former of these two Qs is the larger, in the sixth, the latter. PBOPOSITION VTI. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
