 | Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 pages
...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, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise... | |
 | John Martin Frederick Wright - Euclid's Elements - 1829 - 206 pages
...on one side of the base, another on the other side may be described so that the two triangles shall have their sides terminated in one extremity of the base equal, and likewise those which are terminated in the other extremity, equal. PROP. VIII. 38. What is the defect of this proposition... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...CA, AB are all equal to one another. PROPOSITION VII. THEOREM. — Upon the same given straight line and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of it equal to one another, and also those... | |
 | Euclid - 1835 - 540 pages
...which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore " 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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore " upon the same base, and on the same side of it, there cannot be two trianyles that have tfieir sides which are terminated in one extremity of the base equal to one another,... | |
 | Mathematics - 1836 - 488 pages
...another, the sides which subtend, or are opposite to them, are also equal to one another. VII. 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...in which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore on 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...false. 2. that .'. Aflisnot =/= AC, ie, that AB = AC. PROPOSITION VII. (Argument ad Absurdum.) Theorem. On the same base, and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to each other, and likewise those... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...to it. COR. — Hence every equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot he two triangles that have their sides which are terminated in one extremity of the base equal to one... | |
 | Euclides - 1838 - 264 pages
...which the vertex of one triangle is upon a. side of the other, needs no demonstration. Therefore, 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... | |
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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. 
