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 Boeken Boek 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. Elements of geometry: consisting of the first four,and the sixth, books of ... - Pagina 138
door Euclides - 1842
Volledige weergave - Over dit boek ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 317 pagina’s
...and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. PROP. VI. THEOR. If two triangles have one angle of...the triangles shall be equiangular, and shall have t'tose angles equal which are opposite to the homologous sides. Let the triangles ABC, DEF have the...
Volledige weergave - Over dit boek ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 pagina’s
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, find the sides about the equal angles proportionals, the triangles shaU be equiangular, and shall have...
Volledige weergave - Over dit boek ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportionals, and if each of the remaining angles be not less than a right angle,...
Volledige weergave - Over dit boek ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pagina’s
...describe an isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then if each of the remaining angles be either less, or not less,...
Volledige weergave - Over dit boek ## Report on the examination for admission to the Royal military academy at ...

...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...
Volledige weergave - Over dit boek ## 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...
Volledige weergave - Over dit boek ## Annual Report of the Department of Education

...the common pump. IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the 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...
Volledige weergave - Over dit boek ## Examination Papers for Science Schools and Classes

...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...
Volledige weergave - Over dit boek ## Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 pagina’s
...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...
Volledige weergave - Over dit boek ## Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 pagina’s
...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...
Volledige weergave - Over dit boek