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" If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 30
by John Mason Good - 1819
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 399 pages
...the other two angles each equal to its supplement. I "i 1 . Corollary 2. If two parallelograms Itave one angle of the one equal to one angle of the other, all the remaining angles of the one will be equal to the corresponding angles of the other. 125. Corollary...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...nearer to the centre than the less. 7. Define equal triangles, and prove that if equal triangles have one angle of the one equal to one angle of the other, then the sides about the equal angles are reciprocally proportional. GENEEAL PAPEE. 1. Trace very briefly...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...those sides which are opposite to the equal angles are homologous. THEOR. 3. If two triangles have one angle of the one equal to one angle of the other and the sides about these angles proportional, they are similar, and those angles which are opposite to...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...other 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...
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Glasgow University Calendar

University of Glasgow - 1883
...of the radins of the circle to the side of the second square ? 12. Prove that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles are similar. 14. One of the parallel sides...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...AB, BC, a mean proportional DB is found. QEF PROPOSITION 14. THEOREM. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms which have one...
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Cambridge University Examination Papers

University of Cambridge - 1884
...same ratio which the other sides of the triangle have to one another. 9. Equal triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. THURSDAY, December 6, 1883. 9—...
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Calendar of Dalhousie College and University

Dalhousie University - 1884
...angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that have one angle of the one -equal to one angle of the other, have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...expression which will include all these numbers. PROPOSITION 14. THEOREMS. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. Conversely ; Parallelograms which...
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Examinations Papers

1884
...given circle. Inscribe a regular figure of ten sides in a given circle. 3. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. If one of the said sides in the...
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