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" If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. "
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... - Σελίδα 41
των Horatio Nelson Robinson - 1865 - 444 σελίδες
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 428 σελίδες
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to each, they are equal in all their parts. AS Statement: Let the two triangles A CB and HFE have the side AC...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 428 σελίδες
...: / 2 3 and 456 being any two triangles, etc. PROPOSITION III. 134. Theorem : If two triangles have three sides of the one equal to the three sides of the other, each to cucli, they are equal in all their parts. Statement: Let the two triangles AC B and H FE have the side...

The Sewanee Review, Τόμος 4

1895 - 540 σελίδες
...he would a verse of poetry. Let us now consider another form of the proof. 282 The Sewanec Review. of the one equal to the three sides of the other, each to each, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the angle CAE, opposite to...

Geometry in the Grammar School: An Essay ...

Paul Henry Hanus - 1893 - 76 σελίδες
...three wires, he sees that three lines determine only one triangle, and hence that all triangles having the three sides of the one equal to the three sides of the other each to each are equal. In early instruction then the presentation of a new subject, and of each new phase of a...

Elements of Geometry

George Cunningham Edwards - 1895 - 324 σελίδες
...substituted for another and may be made to occupy exactly Fio. 24. TRIANGLES. THEOREM. If two triangles have the three sides of the one equal to the three sides of the other, each to each, they are congruent. If the two triangles ( p) and (Vy) having : AB = DE, BC=DF, and AC = EF, be so...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1895 - 450 σελίδες
...Therefore, if two triangles, etc. PROPOSITION XV. THEOREM. If two triangles have the three sides oftJie one equal to the three sides of the other, each to each, the three angles will also bc equal, each to each, and the triangles themselves will be equal. Let...

The Sewanee Review, Τόμος 4

1896 - 564 σελίδες
...proof. Mr. Venable's proof of the same proposition is about as follows : The two triangles BAG, ACE, have the three sides of the one equal to the three sides of the other, each to each,, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the angle CAE, opposite to...

The Werner Arithmetic: Oral and Written. Book III--parts I and II, Τόμος 3

Frank H. Hall - 1898 - 298 σελίδες
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles...

The Werner Arithmetic: Oral and Written, Βιβλίο 3

Frank H. Hall - 1898 - 326 σελίδες
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles...

The Werner Arithmetic: Oral and Written. Book III--parts I and II, Τόμος 3

Frank H. Hall - 1898 - 332 σελίδες
...angles of a triangle are equal, two of the sides are equal. 3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect ? 4. If two triangles have the three angles...




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