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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 165
von Robert Simson - 1806 - 518 Seiten
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...described on P 0 as diameter will pass through all the points of contact. 8. 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 that have one...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...precision the Eidograph is far superior to the Pentagraph. See BRADLEY'S Pract. Geom. p. 59. PROP. 6. — THEOR. If two triangles have one angle of the one equal to the one angle of the other, and the sides about the equal angles proportionals, the triangles shall...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863 - 482 Seiten
...and the other two sides produced. Also describe a circle touching three sides of a parallelogram. 6. If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the, triangle shall be equiangular, and shall have those angles equal which are opposite to the homologous...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...EC. (v. 9.) Therefore equal parallelograms, &c. QED PROPOSITION XV. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocallg proportional : and converselg, triangles which...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - 1865 - 401 Seiten
...to two right angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to...of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar polygons may be divided into the same...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...equiangular, and shall have those angles equal which are opposite to the homologous sides. Prop. 7. If two triangles have one angle of the one equal to one angle of tha other, and the sides about two other angles proportionals ; then, if each of the remaining angles...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 Seiten
...the common pump. IM GEOMETRY. Time, 1 hr. 30 win. 1 or 2 and all tlie rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal; then if the third angle in each be both acute, both obtuse, or if one...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 Seiten
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, show that the triangles are similar, and that those angles which are...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 Seiten
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional, the triangles are similar. Given AA^d, A2B2C2, such that ZG! = Z C2 and...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 Seiten
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional. the triangles are similar. Given A A1 B1d, A2B2C2, such that Z d = Z...
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