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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 172
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
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Plane Geometry: (Revised)

Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - 1924 - 347 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 - 238 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...

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

Military Academy, West Point - 1934
...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
...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
...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
...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...

Joint Documents ... for the Year ..., Μέρος 1

Michigan. Legislature - 1897
...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
...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...

Texas School Journal, Τόμος 21

1903
...point in which its medians concur, is one-third of the original triangle. 6. Prove: If two triangles have an angle of one equal to an angle of the other, they are proportional to the rectangles of the sides including those angles. 722 EXAMINATION QUESTIONS....

A School Geometry, Μέρος 2

Henry Sinclair Hall - 1929
...from (i) to (ii) assumes that if XY : AB - XZ : AC then XY:XZ=AB: AC. THEOREM XV. If two triangles have an angle of one equal to an angle of the other, and the sides containing the equal angles proportional, then the triangles are similar. Given. ABC,...
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