| Euclid - Geometry - 1845 - 218 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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... | |
| Euclides - 1845 - 546 pages
...the angle FAG is made equal to the given rectilineal angle DCE. QEF PROPOSITION 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... | |
| Perry Fairfax Nursey - Industrial arts - 1845 - 472 pages
...I shall conclude (for the present), Mr. Editor, by proposing the following proposition : — If two triangles have two sides of the one equal to two sides of the other, each to each, and also their areas equal, and if the anyle contained by two ¡if the sides be... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...AB, the L angle FAG is made = given L DCE, which was to be done. PROP. XXIII. THEOR. 24.lEu. 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... | |
| 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 ;... | |
| 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
...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 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... | |
| 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 that triangle... | |
| 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.... | |
| |