 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...triangles. Ex. 271. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. Ex. 272. The altitudes upon the arms of an isosceles triangle are equal. PROPOSITION XXIII. THEOREM... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...if both are acute or both obtuse. They arc supplementary if one is acute and one is obtuse. Ex. 117. If two right triangles have the hypotenuse and an...to the hypotenuse and an acute angle of the other, they are congruent. (§ 112.) Ex. 118. If two right triangles have a leg and the opposite acute angle... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...205. THEOREM. Two right triangles are congruent if the hypotenuse and an acute angle of the one are equal, respectively, to the hypotenuse and an acute angle of the other. § 190 206. THEOREM. Two right triangles are congruent if a leg and the adjacent (or the opposite}... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...if both are acute or both obtuse. They are supplementary if one is acute and one is obtuse. Ex. 117. If two right triangles have the hypotenuse and an...to the hypotenuse and an acute angle of the other, they are congruent. (§ 112.) PARALLEL LINES PROPOSITION XIX. THEOREM 114. If two right triangles have... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...Corollary 3. — Two right triangles are congruent if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. The proof is left to the student. 69. Distances and angles compared by congruence of triangles. — Since... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...Therefore, PY is not perpendicular to AB. Sec. 47 BOOK I. PLANE GEOMETRY PROPOSITION VIII. THEOREM 109. If two right triangles have the hypotenuse and an acute angle of the one respectively equal to the hypotenuse and an acute angle of the other, the triangles are congruent.... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...equal, respectively. 123. Two right triangles are equal, if the hypotenuse and an acute angle of one are equal, respectively, to the hypotenuse and an acute angle of the other. 124. Two right triangles are equal if a leg and an acute angle of one are equal respectively to a leg... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...the other. § 68. Two right triangles are congruent if the hypotenuse and an acute angle of one are equal respectively to the hypotenuse and an acute angle of the other. § 76. If the three sides of one triangle are equal respectively to the three sides of another, the... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...two right angles. 104. The sum of any two angles of a triangle is less than two right angles. 110. If two right triangles have the hypotenuse and an acute angle of one respectively equal to the hypotenuse and an acute angle of the other, the triangles are equal. 111.... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...triangles are equal. For this statement, the following abbreviation may be used : s. ZZ. 110. COR. 8. If two right triangles have the hypotenuse and an acute angle of one respectively equal to the hypotenuse and an acute angle of the other, the triangles are equal. The... | |
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Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other. 
