 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...same side of it : employ i. 5 to prove that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | Alexander William Bickerton - 1901 - 290 σελίδες
...traverse. How are these distances measured ? By a property of the triangle. Upon the same base, and upon the same side of it, there cannot be two triangles...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another (Euclid,... | |
 | 1901 - 808 σελίδες
...Additional marks will be given for neatness, good style, and accurately drawn figures. 1. On the saine buse and on the same side of it, there cannot be two triangles having their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Euclid - 1901 - 672 σελίδες
...respectively. In this Prop, what is stated with regard to triangles is applicable to parallelograms also. If upon the same base and on the same side of it, there be two equal parallelograms, then they shall be between the same parallels. Upon the same base AB and... | |
 | Euclid - 1904 - 488 σελίδες
...sides of it : prove (by means of I. 5) that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
 | 1905 - 614 σελίδες
...all of equal value. Mr. J. Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. Upon the same base and on the same side of it there...terminated in one extremity of the 'base equal to one another, and likewise those which are terminated in the other extremity equal to one another. Prove... | |
 | Euclid - 1908 - 550 σελίδες
...straight lines form triangles on the same base is really conveyed in the Greek. Simson's enunciation is, Upon the same base, and on the same side of it, there...are terminated in one extremity of the base equal to one another, and likewise those ••i/huh are terminated at the other extremity. Th. Taylor (the... | |
 | John Cook Wilson - 1926 - 508 σελίδες
...Seventh Proposition of Euclid's Elements, Book I. The truth which it is desired to establish is that 'on the same base and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal, and likewise those terminated... | |
 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 620 σελίδες
...right angles, the lines AI, BD, produced, will meet.' The other is from Simson's Euclid, prop. 7, b. 1. 'Upon the same base and on the same side of it,...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.' Now we presume there... | |
 | Great Britain. Parliament. House of Commons - 1863 - 616 σελίδες
...DEFINE scalene triangle, acute angled triangle, rhombus, segment qf a circle, and similar segments. 2. Upon the same base, and on the same side of it, there...terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity. 3. If two triangles have... | |
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Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. 
