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" If two triangles have two sides of the one equal to two sides of the... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 26
von Euclides - 1856
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 Seiten
...and the beginner should not attempt to proceed farther until he has thoroughly mastered it. 1. If two triangles have two sides of the one equal to two sides of the other, must the triangles be equal in all respects ? . Z. AB is a straight line; D is its middle point;...
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A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Bücher 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 Seiten
...of the three given lines is greater than the sum of the other two. PROPOSITION 24. 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 greater than the angle contained by the corresponding...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 Seiten
...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...
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The School World, Band 3

1901 - 548 Seiten
...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...
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Logic; Or, The Analytic of Explicit Reasoning

George Hugh Smith - 1901 - 292 Seiten
...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...
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Logic; Or, The Analytic of Explicit Reasoning

George Hugh Smith - 1901 - 298 Seiten
...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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 Seiten
...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...
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Euclid, Bücher 1

Euclid, Rupert Deakin - 1903 - 218 Seiten
...opposite angles of a parallelogram, bisects the angles, the parallelogram is a rhombus. 16. If two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the angles contained by tljese sides equal to two fight angles, the triangles shall be equal...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 Seiten
...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,...
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Calendar ...

University College, Galway - 1895 - 404 Seiten
...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...
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