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" If two triangles have two sides of the one equal to two sides of the... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 26
von Euclides - 1856
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Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - 1837 - 135 Seiten
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which have two sides of the one equal to two sides of the other, of which equality is demonstrated ia the fourth proposition : and let us remember that every...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...sufficiently long for this. It must of course be produced. PROP. XXIV. THEOR. If two triangles haee two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained ky the two...
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 188 Seiten
...the two triangles ABC, and ACB, AB is equal to AC, and AC to AB ; therefore, two sides of the one are equal to two sides of the other, each to each ; and the angle BAC is equal to the angle CAB, being in fact one and the same angle ; wherefore, by prop. 4,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...and therefore BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle contained by the sides of that...
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Chambers's information for the people, ed. by W. and R. Chambers, Band 2

Chambers W. and R., ltd - 1842 - 744 Seiten
...the comparison of triangles. This important theorem, as stated by Euclid, is aa follows :— If two triangles have two sides of the one equal to two sides of the other, each to each, and have Uk«win the angles contained by those sides equal to one another, their bases, or third sides,...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...de to the straight line/g' ; therefore (8. 1.) the angle dee is equal to PROP. XXIV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...line AB, the angle FAG is made equal to the given rectilineal angle DCE. PROP. XXIV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides...
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The British Annals of Education for ...: Being The Scholastic ..., Bände 1-2

1844
...A. 1. What is a plane rectilineal angle ? When is a straight line said to touch a circle ? 2. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 Seiten
...straight lines, a part AE has been cut off equal to C the less. PROP. IV. THEOREM. If two triangles haw 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,...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Band 42

Perry Fairfax Nursey - 1845
...I shall conclude (for the present), Mr. Editor, by proposing the following proposition : — If two triangles have two sides of the one equal to two sides of the other, each to each, and also their areas equal, and if the anyle contained by two ¡if the sides be a right angle, the anyle...
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