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If two triangles have two sides of the one equal to two sides of the...
Elements of geometry, based on Euclid, books i-iii - Page 17
by Edward Atkins - 1876 - 119 pages

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. PROP. IV. THEOREM. If two triangles have two sides of the one...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 be equal...

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

Euclides - Euclid's Elements - 1837 - 112 pages
...rectilineal angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by two sides of one of them greater than the angle contained by the two sides...

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

Euclid - Geometry - 1837 - 410 pages
...to A 15. the line € might be produced, till it and the part added would be equal to AB. PROP. IV. THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to each ;t and have also the angles contained by those sides equal to one another : (!..) they have likewise...

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

Charles Reiner - Geometry - 1837 - 246 pages
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : 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...

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

Charles Reiner - Geometry - 1837 - 254 pages
...what will 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...

## Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - Logic - 1837 - 156 pages
...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...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two triangles have two sides of the one...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, or...

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

Euclides - 1838 - 264 pages
...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...

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...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...

## Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...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, shall...