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If two triangles have two sides of the one equal to two sides of the...
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 18
των John Playfair - 1847 - 317 σελίδες
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## The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - 1847 - 301 σελίδες
...f A\ tan — 1 + tan — 1 - tan — 4/ V 4/ V 4/ ST JOHN'S COLLEGE. DEC. 1840. (No. XI.) 1. 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 book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 σελίδες
...st. line AB, the Z FAG has been made = the gn. Z DCE.— QEF PROP. XXIV. THEOR. GEN. ENUN. — 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...

## Elementary Course of Geometry ...

Charles William Hackley - 1847 - 248 σελίδες
...ABC = 2AEB, and ACB = 2ADC .-. ABC and ACB are equal the given angles. QED ~ "~ THEOREM XXXII. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the third sides will be unequal, and the greater will be in...

## Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...TRIGONOMETRY, AND MENSURATION. (One question only to be answered in each section.) Section 1. 2. 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...

## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...straight line, to make a rectilineal angle equal to a given rectilineal angle. PROP. 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 the two sides of one of them greater than the angle contained by the two...

## Minutes ...: Correspondence, Financial Statements, Etc., and ..., Τόμος 2

Great Britain. Committee on Education - 1848 - 606 σελίδες
...Straight lines which are parallel to the same straight liue are parallel to one another. 2. 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...

## Elemento of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - 1848 - 338 σελίδες
...distance from one point to another, shortest distance from a point to a line, &c 75 7. Triangles having two sides of the one equal to two sides of the other, each to each, but the included angles unequal 76 8. Consequences — triangles having their sides severally equal,...

## Report of the Committee of Council on Education (England and Wales ..., Τεύχος 2

Great Britain. Council on Education - 1848 - 596 σελίδες
...parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf 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...

## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...found that BO+ OC< BD +DC; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the...

## Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...make DG equal to AC or DF, and join EG, GF. PROPOSITION xiv. THEOREM (Converse of Prop. XIII.). If two triangles have two sides of the one equal to two sides of the other, each to each, but the bases unequal, the angle contained by the sides of that which has the greater base, will be...