| Canada. Department of the Interior - 1888 - 756 pages
...remains. Find the sum of money. No. of Marks. 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...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 parallels are... | |
| James Wallace MacDonald - Geometry - 1894 - 76 pages
...equiangular triangle? 59. What is the hypotenuse of a right triangle? a. What are the other sides called ? **60. When are triangles equal? Equivalent? a. What...triangles are equal. Proposition XXIX. A Problem.** 66. Construct an equilateral triangle having sides equal each to a given line. Proposition XXX. A Problem.... | |
| William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...in all respects; so that BS '= AS. Similarly CS= AS, .'. BS = CS. .'. the triangles BDS, CDS having **the three sides of one equal to the three sides of the other,** are equal in all respects. .". DS is at right-angles to BC. Since AS, BS, CS are equal to one another,... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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... | |
| Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...equal. The triangles P AC and QDE 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 0 F E. The corresponding isosceles... | |
| Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...being any two triangles, etc. PROPOSITION III. 124. 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. A Statement : Let the two triangles ACB and H FE have the side AC... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...Examinations, 1890. For Commercial Certificates. 1. If two triangles have three sides of the one equal to **three sides of the other each to each, the triangles are equal** to one another in every respect. Prove that the diagonals of a rhombus bisect one another, and cut... | |
| American fiction - 1895 - 540 pages
...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... | |
| Paul Henry Hanus - Geometry - 1893 - 76 pages
...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... | |
| George Cunningham Edwards - Geometry - 1895 - 330 pages
...spherical triangle be given, the spherical triangle may be constructed. It follows that if two spherical **triangles have the three sides of one equal to the three sides of the other,** the spherical triangles will be superimposable or symmetrical, and so will have the angles as well... | |
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