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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...: Translated from the French for the Use of the ... - Σελίδα 9
των Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Annual Report

Canada. Department of the Interior - 1888 - 756 σελίδες
...7 5 i 8 8 8 8 8 11 11 [PART n] GEOMETRY. Time, 3 hours. 1. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles shall be eqnal in all respects. 2. Parallelograms on equal bases and between the same...

Principles of Plane Geometry

James Wallace MacDonald - 1894 - 76 σελίδες
...the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. 66. Construct an equilateral triangle having...

Principles of Plane Geometry

James Wallace MacDonald - 1889 - 80 σελίδες
...the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. Proposition XXX. A Problem. 67. Construct a triangle...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...congruent. The student would do well to learn the enunciation in the subjoined form : — If two triangles have the three sides of the one equal to the three sides of the other, each to each, then the triangles are identically equal, and of the angles, those are equal which are opposite to...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 422 σελίδες
...PC, QD, QE, and QF are equal. The triangles PAC and Q 0 E are, then, isosceles triangles, and they have the three sides of the one equal to the three sides of the other, each to each. The same is true of the triangles PAB and QDF; and, also, of PBC and QF E. The corresponding isosceles...

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...

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...




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