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" If two triangles have two sides of the one equal to two sides of the... "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 54
των Euclides - 1864
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 372 σελίδες
...circumference of a great circle, (art. 32.) 49. PROP. If two spherical triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, the two triangles shall be equal....

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...passes through the vertex of each. PROP. 7. (Eue. i. 8.) If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle contained by the two sides of the one shall be equal to the angle...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...to the angle DEF, and the angle ACB to DFE. Therefore, " if two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise be equal,...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...cannot be both parallel to the same straight line." PROP. IV. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, their bases, or third sides, shall...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...are together equal to four right angles. PROP. IV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, they shall likewise have their bases,...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...other, needs no demonstration. PROPOSITION VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides of the one shall be equal...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...are terminated in the other extremity. PROP. VIII. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal : (1.) the angle which is contained by the two sides of the one is equal...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 254 σελίδες
...of the other ; that is, the triangles are equiangular. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by these sides equal, their third sides are equal, the triangles are...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 σελίδες
...3. that Z BDC also = Z BCD . PROPOSITION VIII. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle contained by the two sides of the one shall be equal to the angle...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, tueir bases shall likewise be equal,...




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