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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 ... - Page 141
by Robert Simson - 1827 - 513 pages
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858
...I. — 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...equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
...I. — 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...equal which are opposite to the homologous sides. 7. PROP. XVin. — Upon a given straight line to describe a rectilineal figure similar, and similarly...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...the 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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...the pound is the 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 angle, the...
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Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - Bills, Legislative - 1859
...a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. 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. 19. Investigate a trigonometrical...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...I. — Triangles of the same altitude are one to the other as their bases. fi. PROP. VI. — If two triangles have one angle of the one equal to one angle...equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...rectangle contained by the sides about the other, the triangles are equal. (ii.) Conversely: — If two triangles have one angle of the one equal to one angle of the other, the rectangle contained by the sides about one of those angles is equal to the rectangle contained...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...the line joining two alternate vertices of a given length. 7. Prove that 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. 8. In a right-angled triangle, show...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890
...segments of the base. What is the corresponding proposition for the external bisector ? 8. Triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides about the equal angles....
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