 If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.  General Mathematics - Page 41by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...Any two sides of a triangle are together greater than the third side . . . . . . . . ^^ THEOREM 15. If two angles of one triangle are equal respectively to two angles of another triangle, then shall the third angles of the triangles be equal . 25 THEOREM 16. If two angles and a side of... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...ABC + BAC + ACB is equal to two right angles. Corollary. — If two angles of one triangle be equal to two angles of another triangle, the third angle of the first triangle will be equal to the third angle of the second. Note. — We have seen in Props. 5, 6, and 7, that... | |
 | John Reynell Morell - 1875 - 220 pages
...to two-thirds of a right angle. COROLLARY IV. — If two angles of a triangle are respectively equal to two angles of another triangle, the third angle of the first triangle is also equal to the third angle of the second. * Theorem XXIV. t Theorem II., Book I. I This corollary... | |
 | George Anthony Hill - Geometry - 1880 - 348 pages
...side opposite to the right angle is called the HYPOTENUSE, and the other sides are called the LEGS. 4. If two angles of one triangle are equal respectively to two angles of another triangle, then the third angle of the one is equal to the third angle of the other. 5. In a right triangle the... | |
 | George Anthony Hill - Geometry - 1880 - 332 pages
...opposite to the right angle is called the HYPOTENUSE, and the other sides are called the LEGS. 4. .f two angles of one triangle are equal respectively to two angles of another triangle, then the third angle of the one is equal to /he third angle of the other. 5. In a right triangle the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...third angle may be found by taking the sum from two right angles. [what axiom applies ?] 61. COR. III. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles will be equal. [what two axioms apply ?] 62. COR. IV. A triangle can have but one right angle,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...third angle may be found by taking the sum from two right angles. [what axiom appHes ?] 61. COR. III. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles will be equal. [what two axioms app]y ?j 62. COR. IV. A triangle can have but one right angle,... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...COB. I. A triangle can have only one right angle, or one obtuse angle. COB. II. If two angles of a triangle are equal respectively to two angles of another triangle, the third angles are also equal.. COB. III. If an acute angle of a right triangle is equal to an acute angle... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...are known, the third can be found by subtracting their sum from two right angles. 140. COROLLARY II. If two angles of one triangle are equal respectively to two angles of another, the third angles are equal, and the triangles are mutually equiangular. 141. COROLLARY III. A triangle... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...triangle can have but one right, or one obtuse angle. 139. COR. 5. If two angles of one triangle equal two angles of another triangle, the third angle of the first triangle equals the third angle of the second, 140. COR. 6. If an acute angle of one right triangle equals an... | |
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