 | College of preceptors - 1882 - 528 pages
...Explain how you would find out practically, by folding the paper, whether BAD is a right angle or not. 2. If two angles of a triangle are equal, the sides opposite to them are equal. 3. If one side of a triangle is produced, the exterior angle shall be greater than either of... | |
 | Mathematical association - 1883 - 86 pages
...or directly by Superposition.] COR. If a triangle is equilateral, it is also equiangular. THEOR. 8. If two angles of a triangle are equal, the sides opposite to those angles are equal. [By Theor. 6 or directly by Superposition.] COR. If a triangle is equiangular,... | |
 | Mathematical association - 1884 - 146 pages
...the triangles into which the bisector of the vertical angle divides the isosceles triangle. THEOR. 8. If two angles of a triangle are equal, the sides opposite to those angles are equal. Let ABC be a triangle having the angle ABC equal to the angle ACB : A A< c1... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...angles. Consequently, a straight Hne drawn from the vertex of an isosceles triangle to the middle of the base, bisects the angle at the vertex, and is perpendicular to the base. PROPOSITION XII. THEOREM. // two angles of a triangle are equal, the sides opposite to them are also equal, and consequently,... | |
 | 1886 - 610 pages
...AB" is " sq. on AB" and for "the rectangle contained by the straight lines AB, CD"is"rect.AB, CD." 1. If two angles of a triangle are equal, the sides opposite to those angles shall be equal. 2. D is a point within the triangle ABC. Prove that BD, DC are less than... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...AB'; are equal to each other, by Proposition IX., and B is equal to B ' . PROPOSITION XL-THEOREM. 27. If two angles of a triangle are equal, the sides opposite to them are equal, and the triangle is isosceles. Let the angles BAC and SCA of the triangle ABC be ©qual, then... | |
 | William Chauvenet - 1893 - 340 pages
...and a side of the one respectively equal to the hypotenuse and a side of the other. PROPOSITION XI. If two angles of a triangle are equal, the sides opposite to them are equal, and the triangle is isosceles. PROPOSITION XII. If two angles of a triangle are unequal, the... | |
 | 1894 - 1136 pages
...and 4 or 5. i . From the greater of two given straight lines to cut off a part equal to the less. a. If two angles of a triangle are equal, the sides opposite to them shall also be equal. 3. In questions i and 2, we have representatives of two classes of propositions.... | |
 | United States. War Department - 1896 - 1256 pages
...EXAMINATION, FOURTH CLASS, IN GEOMETRY, MARi и Ю, 1886. PART I — g to 9.30 am [Weight, 13.] 1. If two angles of a triangle are equal, the sides opposite to them are also equal. [Weight, 2.] 2. If from :i point without a circle a tangent and a secant are drawn, the secant terminating... | |
 | William Chauvenet - Geometry - 1898 - 376 pages
...than the angle -B (69); still more, then, is ACB greater than B. PROPOSITION XXV1I.—THEOREM. 90. If two angles of a triangle are equal, the sides opposite to ttiem are equal. '' In the triangle ABC, let the angles B and C be oqual; then, the sides AB and AC... | |
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THEOREM. If two angles of a triangle are equal, the sides opposite to them are also equal, and consequently, the triangle is isosceles. 
