| Great Britain. Admiralty - 1846 - 128 σελίδες
...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 contained by the two... | |
| Great Britain. Admiralty - 1846 - 128 σελίδες
...proved that EG = BC, BC > EF. Therefore, if two triangles, &c. PROP. XXIV. THEOR. 25. 1 En. 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... | |
| Euclides - 1846 - 292 σελίδες
...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 σελίδες
...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... | |
| 1845 - 472 σελίδες
...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- nmjlc... | |
| Euclides - 1847 - 128 σελίδες
...st. line AB, the Z FAG has been made = the gn. Z DCE.— QEF PROP. XXIV. THEOR. GEN. ENUN. — 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... | |
| Thomas Gaskin - 1847 - 301 σελίδες
...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... | |
| Charles William Hackley - 1847 - 248 σελίδες
...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... | |
| Great Britain. Committee on Education - 1848 - 606 σελίδες
...Straight 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... | |
| Euclides - 1848 - 52 σελίδες
...straight line, to make a rectilineal angle equal to a given rectilineal angle. PROP. 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 contained by the two... | |
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