If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another, they shall also have their bases or third sides equal ; and the two triangles shall be equal,... The Quarterly Journal of Education - Page 2471833Full view - About this book
| Education - 1836
...who do think, frequently imagine we mean that the sum of AB and CD, is equal to that of EF and GH. **We should recommend it to be said, " If two|] triangles...a method in the article already cited, vol. II. of** the Journal of Education, by which, when the pupil has had a little previous training in the syllogistic... | |
| Schoolmaster - 1836
...that the sum of AB and CD, is equal to that of EF and GH. We should recommend it to be said, " If twoj **triangles have one side of the first equal to one...a method in the article already cited, vol. II. of** the Journal of Education, by which, when the pupil has had a little previous training in the syllogistic... | |
| C. Reiner - Geometry - 1837 - 215 pages
...sides equal to each other — their third sides are equal — the triangles are equal — and their **other angles are equal, each to each, namely, those to which the equal sides are opposite.** M. — Demonstrate this truth on your Slates. The pupils must give a demonstration in all respects... | |
| Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...third sides, shall be equal ; and the two triangles jshall be equal ; and their other angles shall be **equal, each to each, namely, those to which the equal sides are opposite.** Or, if two sides and the contained angle of one triangle be respectively equal to those of another,... | |
| Charles Reiner - 1837
...= triangle cad, and the remaining angles of the one are equalto the remaining angles of the other, **each to each, namely, those to which the equal sides are opposite;** and .". /_adb— /. adc, and Łab d— /_a cd—the angles at the base. Then, in an isosceles triangle,... | |
| Chambers W. and R., ltd - 1842
...or third sides, shall be equal, and the two triangles shall be equal, and their other angles dull be **equal, each to each, namely, those to which the equal sides are opposite.** Or, if two sides and the contained angle of one triangle be respectively equal to those of another,... | |
| William Somerville Orr - Science - 1854
...А=Ш angle D, then their bases or third sides (BC, EF) shall be equal, and also their other angles **each to each, namely, those to which the equal sides are opposite,** that is, the angle \\=t/ic angle E, and the angle C=t/te angle F ; the surfaces of the triangles shall... | |
| Great Britain. Committee on Education - Schools - 1855
...sides shall he equal, and the two triangles shall be equal, and shall have also their other angles **equal, each to each, namely, those to which the equal sides are opposite,** 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. In any... | |
| Mathematics - 1866
...sides equal to one another, they also have their basis on third sides equal and their angles shall be **equal, each to each, namely, those to which the equal sides are opposite.** The counterpart of this Proposition would be enunciated thus: If two triangles have one side equal... | |
| Euclides - 1856
...three sides of the other, each to each, the angles of the one shall be equal to the angles of the other **each to each, namely, those to which the equal sides are opposite.** Let ABC, DEF (Fig. 11) be two triangles having the three sides AB, BC, CA, respectively equal to the... | |
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