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" If two triangles have two sides of the one equal to two sides of the... "
Easy Introduction to Mathematics - Pagina 243
door Charles Butler - 1814
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 pagina’s
...5. that .'. EG or BC > EF. PROPOSITION XXV. (Argument ad absurdum). Theorem. 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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 pagina’s
...made equal to the given angle C : which was to be done, f PROP. XXIV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angles contained by those sides unequal : the base of that which has the greater angle is greater...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 pagina’s
...necessarily be concluded with respect to their third sides or bases, ef and be? P.—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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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 pagina’s
...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 - 351 pagina’s
...to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOll. 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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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842
...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
...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 - 317 pagina’s
...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 ..., Volume 1

1844
...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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