 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...from AB the greater of two straight lines, a part AE has been cut off equal to C 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, their bases, or third... | |
 | 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... | |
 | 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 like-wise... | |
 | 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... | |
 | 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... | |
 | 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 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 equal... | |
 | 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-... | |
 | Euclides - 1847 - 128 pages
...has been described upon the gn. straight line AB. — QEF PROP. IV. THEOREM. GEN. ENUN. — If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal, they shall likewise have their bases, or third... | |
 | 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... | |
 | Euclides - 1848 - 52 pages
...base, equal to one another, and likewise those which are terminated in the other extremity. PROP. VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal ; the angle which is contained by the two sides of the one shall... | |
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IF two triangles have two sides of the one equal to two sides of the... 
