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" If two triangles have two sides of the one equal to two sides of the other, each to each, but the... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 5
autor: Euclides - 1834
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - Liczba stron: 352
...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 - 1817 - Liczba stron: 454
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - Liczba stron: 350
...them equal to AD ; wherefore the straight line AE is equal to (1. Ax.) C, and from AB the greater of 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 equal to t-wo sides of the other, each...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - Liczba stron: 486
...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

John Mason Good - 1819 - Liczba stron: 800
...rectilineal angle equal to a giren rectilineal angle. Prop. XXIV. Theor. If two triangles have two ¿in of the one equal to two sides of the other, each to each, but the angle contained by the two ;ides 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 - 1819 - Liczba stron: 354
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - Liczba stron: 1046
...them equal to AD ; wherefore the straight line AE is equal to (1 Ax.) C, and from AB, the greater of two straight lines, a part AE has been cut off equal to С the less. Which was to be done. Propotilion IV. Theorem. If two triangles have two sides of the...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - Liczba stron: 226
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - Liczba stron: 234
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - Liczba stron: 546
...each of them equal to AD; wherefore the straight line AE is equal to* C. and from AB, the greater of two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOR. If two triangles have t1eo sides of the one equal to two sides of the other, each...
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