| Thomas Gaskin - 1847 - 301 pàgines
...JS\ f C\ 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...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,... | |
| Euclides - 1847 - 128 pàgines
...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... | |
| 1845 - 472 pàgines
...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-... | |
| Charles William Hackley - 1847 - 248 pàgines
...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 pàgines
...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... | |
| George Clinton Whitlock - 1848 - 338 pàgines
...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... | |
| George Clinton Whitlock - 1848 - 340 pàgines
...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... | |
| John Playfair - 1849 - 332 pàgines
...line AB, the angle FAG is made equal to the given rectilineal angle DCE. 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-liy the two sides of the one greater than the angle contained by the two sides of the other... | |
| Elias Loomis - 1849 - 252 pàgines
...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 greater... | |
| Euclid, Thomas Tate - 1849 - 120 pàgines
...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 two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another; they shall likewise have... | |
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