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" If two triangles have two sides of the one equal to two sides of the... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Σελίδα 8
των Royal Military Academy, Woolwich - 1853
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...that space will be a maximum when the segments are equal. PROP. V. 8. Theorem. Of all triangles having two sides of the one equal to two sides of the other, each to each, that which has the two sides perpendicular to each other is the greatest. Let the triangle ACB have...

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John Playfair - 1819 - 350 σελίδες
...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...

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...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...

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

John Playfair - 1819 - 354 σελίδες
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the othtr, each to each, and have likewise the angles contained by those sides equal to one another ; their...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

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...the base of that which has the greater ancle shall be greater than the base nf the other. Prop. XXV. Theor. If two triangles have two sides of the one equal to rwo sides of the other, ta. h to each, but trie base of the one greater than tht base of the other...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. IF two triangles havftwo 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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...also BC is greater than EF. llierefore, if two triangles, Sic. QED Proposition XXV. 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 also contained by the sides...

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

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...the angle FAG is made equal to the given reetilineal angle DCE. YUiidi >ras to be done. PROP. XXIV. THEOR. If two triangles have two sides of the one equal to two sides of the other, eaeh to eaeh, but the angle eontained by the two sides of the one greater than the angle eontained...

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...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, 8tc. a. KD PROPOSITION V. THEOREM.* The angles which are at the lose of isosceles triangles...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

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...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are...




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