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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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...greater of two str. lines, a part AE has been cut off= C, the less. PROP. IV. THEOR. 4. 1 Eu. If two triangles have two sides of the one, equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...Prop. 4), and therefore BC is greater than BD. PROPOSITION XXV. THEOREM. If two triangles (BAC and EFD) have two sides of the one equal to two sides of the other (.BA to EF and AC to FDJ, but the remaining side (BC) greater than the remaining side (ED,) the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...given straight lines, a part AE has been cut off equal to C the less. QEF PROP. IV. THEOBEM. If two triangles have two sides of the one equal to two sides of tiie other, each to each, and have also the angles contained by those sides equal to one another, they...
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The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...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...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 equal to them of the other,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...one-fourth part of the given triangle, and is equiangular with it. (Deducible from Prop. XLI.) PROP, v' THEOR. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to either of the two equal sides be each a right angle, the triangles shall...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 42

1845 - 472 pages
...I shall conclude (for the present), Mr. Editor, by proposing the following proposition :— If tiro triangles have two sides of the one equal to two sides of the other, each to each, and also their areas er/ual, and if the angle contained by two of Ike sides be. H right angle, /he-...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...greater of two given straight lines, to cut off a part equal to the less. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those .sides equal to one another ; they shall likewise...
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Elemento of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - Mathematics - 1848 - 338 pages
...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, a quadrilateral...
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Elements of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - Mathematics - 1848 - 340 pages
...cosa cos6 + sina sinft cos C. ; Cor. 1. If two spherical triangles have two sides of the (536) one equal to two sides of the other each to each but the included angles unequal, the remaining sides will be unequal and the greater side will be opposite...
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