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" If two triangles have two sides of the one equal to two sides of the... "
The first three books of Euclid's Elements of geometry, with theorems and ... - Page 20
by Euclid, Thomas Tate - 1849 - 108 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...terminated in the other extretnity equal to one another. QED »»\ PROP. VIII. THEOR. .V '" IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their biases equal ; the angle which is contained by the two sides of the one' shall...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...equal b to the angle FAG. Therefore, at the given point A in the given' straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. • PROP.^XIV. THEOR. See Note. IF two triangles have two sides of the one equal to two sides of the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...base equal to one another, and likewise those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each to each, and have likewise their bases equal ; the angle which is contained...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...b to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle FAG js made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. SeeN. IF two triangles have two sides of the one equal to two sides of the other, each to each, but...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...predicate is that which is affirmed or denied of the subject : thus, in prop. 4. tu-o triangles having two sides of the one equal to two sides of the other, each to each, and the included angles equal, is the subject ; and that such triangles tcill have their bases equal,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...equal b to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. See N. IF two triangles have two sides of the one equal to two sides of the other, each to each, but...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...interior opposite angle, of the spherical triangle PBC. PROP. XVII. (111.) Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, eadi to each, but the angle contained by those two sides of the one, greater than the angle...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...problem of no small utility and importance. ., PKOP. XLVII. i — - --— - -TT - . . . . (LXXI.) If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angles opposite to either pair of equal sides be each a right angle, the triangles shall...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &.c. Q, ED PROP. XXV. THEOR. Jf 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 which...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 486 pages
...the greater of the two given figures above the less. PKOP. LXXIII. 96. THEOREM. If two right-angled triangles have two sides of the one equal to two sides of the other, each to each, the triangles shall be equal, and similar to each other. If the two sides about the right-angle of...
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