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" If two triangles have an angle of one equal to an angle of the other... "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 176
των Rev. John Allen - 1822 - 494 σελίδες
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Plane Geometry: (Revised)

Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - 1924 - 360 σελίδες
...side and left side to left side, the triangles are similar. § 161 *377. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. A' Given AABC and A'B'C'; ZB = ZB' and AB BC...

Essentials of Solid Geometry

David Eugene Smith - 1924 - 256 σελίδες
...triangle are equal respectively to two angles of another, the triangles are similar. 4. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, the triangles are similar. 5. If two triangles have their sides...

The Teaching of Mathematics in the Elementary and the Secondary School

Jacob William Albert Young - 1924 - 484 σελίδες
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two...

The Reorganization of Mathematics in Secondary Education (part I ..., Μέρος 1

National Committee on Mathematical Requirements - 1927 - 208 σελίδες
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. [59*, 60*,...

Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 1934 - 964 σελίδες
...center of a circle and a tangent, if one of the intercepted arcs is 41°. 10 Prove that the areas of two triangles which have an angle of one equal to an angle of the other arc to eaeh other as the products of the sides including those angles. 10 Construct a triangle equivalent...

Official Register of the Officers and Cadets

United States Military Academy - 1942 - 1028 σελίδες
...center of a circle and a tangent, if one of the intercepted arcs is 41°. 10 Prove that the areas of two triangles which have an angle of one equal to an angle of the other arc to each other as the products of the sides including those angles. 10 Construct a triangle equivalent...

Annual Report of the Department of Education to the General Assembly of the ...

Georgia. Department of Education - 1919 - 648 σελίδες
...square of the hypotenuse is1 equal to the sum of the squares of the legs. Demonstrate: If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Demonstrate:...

The Virginia School Journal, Τόμος 9

1900 - 348 σελίδες
...whole secant and its external segment is equal to the square of the tangent. 7. Two'triangles, having an "angle of one equal to an angle of the other, are to each other as the producto of the sides, including the e^ual angles. 8. In any right triangle the square described...

Documents Accompanying the Journal of the House, Μέρος 1

Michigan. Legislature - 1897 - 1456 σελίδες
...equals one-half the central angle standing upon the same arc. 3. Demonstrate: — Two triangles having an angle of one equal to an angle of the other, are to each other as the products of the sides including the equal angles. 4. A polygon has a diagonal 13.3 ft. long....

Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 906 σελίδες
...ti« radius. No. 4.— Prove tho following theorem: (Wt. 10.) Two triangles having an angle of the one equal to an angle of the other are to each other as tho products of the sides including the equal angles. No. 5. — A shore line, XV,is a straight...




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