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" If two triangles have two sides of the one equal to two sides of the... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Σελίδα 7
των Euclides - 1861
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Elementary Course of Geometry ...

Charles William Hackley - 1847 - 248 σελίδες
...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...

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

Euclides - 1848 - 52 σελίδες
...the greater angle, shall be greater than the base of the other. PROP. 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 contained by the sides of that...

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

Great Britain. Committee on Education - 1848 - 606 σελίδες
...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...

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

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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...

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
...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
...greater than the chord AD, the arc AE is greater than the arc AD. For, because the two triangles ACE, ACD have two sides of the one equal to two sides of the other, each to each, but the base AE of the one is greater than the base AD of the other, therefore Scholium. The arcs here...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. 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...

The English Journal of Education, Τόμος 4

1850 - 488 σελίδες
...of it, are either two right angles, or are together equal to two right angles. 3. 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...




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