| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...EF ; that is, EK, KG are greater than EF. Hence EG (or BC) is greater than EF. HsE PROPOSITION 25. **THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each,** hit the base of one greater than the base of the other ; then the angle contained by the sides of that... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...equal to three given straight lines, any two of which are together greater than the third. 8. 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 greater than the angle contained by the corresponding... | |
| Education - 1901 - 548 pages
...joining the points two and two. (2) When are two triangles said to be " equal in all respects " ? If iwo **triangles have two sides of the one equal to two sides of the other, each to each, and the** angles included by these sides equal, then shall the triangles be equal in all respects. (3) Show that... | |
| George Hugh Smith - Logic - 1901 - 292 pages
...SYLLOGISM Major Premise. — Prop. IV. Minor Premise, — The triangles ABE and ACD are triangles having **two sides of the one equal to two sides of the other, each to each, and the included** angle equal. Conclusion. — They are therefore equal in all their corresponding parts, and hence BE... | |
| George Hugh Smith - Logic - 1901 - 298 pages
...SYLLOGISM Major Premise. — Prop. IV. Minor Premise. — The triangles CBE and BCD are triangles having **two sides of the one equal to two sides of the other, each to each, and the included** angle equal. Conclusion. — They are therefore equal in all their corresponding parts, and hence the... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...standing on the same base and between the same parallels are equal in area. Hence show that if two **triangles have two sides of the one equal to two sides of the** other and the contained angles supplemental, they are equal in area. 2. Any point, P, is taken on a... | |
| Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...than EF. Prop. 19 But BC was proved equal to EG, therefore BC is greater than EF. QED PROP. 25. — **Theorem. — 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 ; then the angle contained by the two sides... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Why is this? C falls on F. Why is this ? Do the triangles coincide altogether ? THEOREM 10. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** also the angles contained by those sides equal, the triangles are congruent. B c EF fig. 96. Data ABC,... | |
| University College, Galway - 1895 - 404 pages
...up 24 cubic inches. GEOMETRY AND TRIGONOMETRY. Examiner — PROFESSOR DIXON, MA GEOMETRY. 1. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** likewise the angles contained by those pairs of sides equal, then the triangles shall be equal in all... | |
| Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...from Theor. 15 that the hypotenuse is the greatest side of a right-angled triangle. THEOR. 16. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the included angles unequal, then the bases are unequal, the base of that which has the greater... | |
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