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 Βιβλία Βιβλία If two triangles have two sides of the one equal to two sides of the... Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Σελίδα 19
των Stewart W. and co - 1884
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο The London University Calendar

London univ - 1852
...From the greater of two given straight lines to cut off a part equal to the less. 3. Show that 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 each other ; they shall likewise have... The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...be equal to them, viz. the angle 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, their bases shall likewise... The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...viz. G. The angle ABC shall be equal 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... The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...Therefore, upon the same base, and on the same side of it, &c. QED 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 shau... The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Βιβλίο 1

Euclides - 1853
...THEOE. If two triangles have (1) two sides of the one respectively equal to two sides of the other ; (2) the base of the one greater than the base of the other : then, the angle included by the two sides of the one that has the greater base shall be greater than... The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 335 σελίδες
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be... Elements of geometry and mensuration

Thomas Lund - 1854 - 192 σελίδες
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two triangles have two sides of the' one equal to two sides of the other, each to each, and have likewise the angles formed by those sides equal to one another, they shall also have their... Examinations Papers

1891
..."sq. on AB," and for "the rectangle contained by the straight lines AB.CD " Is " reot. AB,CD." 1. Two triangles have two sides of the one equal to two sides of the other, but the third sides are unequal ; prove that the angles opposite the unequal sides are unequal.... Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 σελίδες
...equal, E F. Conclusion : ABC and HEF being any two triangles, etc. PROPOSITION XV. 149. Theorem : If two triangles have two sides of the one equal to two sides of the Oliver, each to each, but the third sides unequal, the included angles are unequal, and the triangle...