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" If two right triangles have an acute angle of the one equal to an acute angle of the other, the other acute angles will be equal. "
The Elements of Plane Trigonometry - Page 15
by Henry Nathan Wheeler - 1876
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...equal to two angles of the other. 174. Corollary. Two right triangles are similar, when they tiave an acute angle of the one equal to an acute angle of the other. 175. Theorem. Two triangles are similar, when they have the sides of the one respectively parallel...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1841 - 186 pages
...respectively equal to two angles of the other. 174. Corollary. Two right triangles are similar, when they have an acute angle of the one equal to an acute angle of the other. 175. Theorem. Two triangles are similar, when Cases of similar Triangles. they have the sides of the...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...respectively equal to two angles of the other. 174. Corollary. Two right triangles are similar, when they have an acute angle of the one equal to an acute angle of the other. 175. Theorem. Two triangles are similar, when Cases of similar Triangles. they have the sides of the...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...perpendicular to the sides of the other are similar triangles, 2nd. Two right-angled triangles which have an acute angle of the one equal to an acute angle of the other, are similar triangles. PROPOSITION 20. If two straight lines be drawn through the same point so as...
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1886 - 250 pages
...These ratios are, in general, different for different angles ; for two right triangles, not having an acute angle of the one equal to an acute angle of the other, are not similar, and their homologous sides are not proportional. Thus we see that the values of the...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...be known, the third angle can be found by taking this sum from two right angles. 101. COR. 3. If two right triangles have an acute angle of the one equal to an acute angle of the other, the other acute angles will be equal. 102. COR. 4. In a triangle there can be but one right angle, or one...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...angles of the one equal to two angles of the other, the third angles will be equal. 101. COR. 3. If two right triangles have an acute angle of the one equal to an acute angle of the other, tlio other acute angles will be equal. 102. COR. 4. In a triangle there can be but one right angle,...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...the other, the third angles will be equal. 101. COR. 3. If two right triangles have an acute anglo of the one equal to an acute angle of the other, the other acute angles will be equal. 102. COR. 4. In a triangle there can bе but one light angle, or...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...angles of the one equal to two angles of the other, the third angles will be equal. 101. COR. 3. If two right triangles have an acute angle of the one equal to an acute angle of the other, the other acute angles will be equal. 102. COR. 4. In a triangle there can be but one right angle, or one...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1884 - 422 pages
...100. COR. 2. If two triangles have two angles of the one 101. COR. 3. If two right triangles have au acute angle of the one equal to an acute angle of the other, the other acuto angles will be equal. 102. COR. 4. In a triangle there can he but one right angle, or one...
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