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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) cyclopædia, by J.M. Good, O. Gregory, and N ...
von John Mason Good - 1819
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National Society's Monthly Paper

1855
...hase shall have the same ratio which the other sides of thi; triangle have. 2. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles bhall be equiangular, and shall have...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...to BE, as GB is to BF). [3.] And if parallelograms (AB and BC) have an angle of the one equal to an angle of the other, and their sides about the equal angles reciprocally proportional, they are equal to one another. the same straight line, with the \ parallelograms on opposite sides...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about another angle in each, proportionals ; and if the remaining angle in each be of the...
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The Calendar of King's College, London

1857
...the angle in a segment less than a semicircle is greater than a right angle. 9. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have...
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The Educational record, with the proceedings at large of the ..., Bände 3-4

...due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. If two triangles have one angle of the one equal to one angle of the other atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less...
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The Quarterly Journal of Pure and Applied Mathematics

1871
...proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) have one angle of the one equal to one angle of the other; namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :...
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Parliamentary Papers, Band 25

...Triangles of the same altitude are one to the other as their bases. 6. PROP. VI. — If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 Seiten
...angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. 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. Show also how this follows from...
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Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859
...angle* reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. PART L Statement — Let the triangles ABD and CBL be equal, and let their angles at B be equal ; I...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 Seiten
...income tax.? 10. Extract the square root of 6575-5881. Voluntary Portion. 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, each of the remaining angles being greater than a right...
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