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" ... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. "
The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 209
των Euclides - 1874
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...Conversely, Triangles, which have one angle of the one equal to one angle of the other, and their tides about the equal angles reciprocally proportional, are equal to one another. Let the sides about the equal L s be reciprocally proportional, that is, let CA be to AD as EA is to AB....

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angle FBD equal to the angle EBG : the sides of the...

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 σελίδες
...reciprocally proportional ; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. 11. On a given straight line to describe a segment of a circle, containing an angle equal to a given...

Report of Her Majesty's Civil Service Commissioners, Together with ..., Τόμος 24

Great Britain. Civil Service Commission - 1880 - 660 σελίδες
...triangle. 10. Parallelograms which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal to one another. Prove this also when the two angles about which the sides are reciprocally proportional are together...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 σελίδες
...anglet reciprocally proportional; and convernely, triangles which have an angle in the one equal to an angle in the other, and their sides about the equal...reciprocally proportional, are equal to one another. First, let ABC and ADE be equal triangles, which have the angU BAC equal to the angle DAE. The sides...

The Cambridge Examiner, Τόμος 3

1883 - 536 σελίδες
...angels reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. 15. If two straight lines be at right angles to the same plane, they shall be parallel to one another....

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 σελίδες
...reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angle FBD equal to the angle EBG : the sides of the...

Glasgow University Calendar

University of Glasgow - 1883 - 438 σελίδες
...circle in a given triangle. 5. Parallelograms that have one angle of the one equal to one angle of the other, and their, sides about the equal angles...reciprocally proportional, are equal to one another. 6. Simplify the expression— (a + b) (a + c) (a + b) (b + c) (a + c) (b + c) 7. Solve the equations—...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...in reciprocal proportion. And Conversely, Trianyks, which have one angle of the one equal to one of the other, and their sides about the equal angles reciprocally proportional, are eqiud to one another. Let the sides about the equal L s be reciprocally proportional, that is, let...

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 σελίδες
...DE, FC, cutting AB in G and H. 11. Triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. II. ARITHMETIC. (Including the use of Common Logarithms.) [NB—Great importance will be attacked to...




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