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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: Also the Book of Euclid's Data ...cor. viz. The ... - Σελίδα 163
των Robert Simson - 1804
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## The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

...intercepted between the sides of each triangle are equal to one another. THKOR. 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...

## Annual Report of the Schools of New Brunswick

...proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. fi. 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. NB — Female Candidates will receive credit...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...of the other, have their sides about the equal angles reciprocally proportional ; and, conversely, triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. n. From...

## Report of the Secretary for Public Instruction ...

...contained by the 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. 9....

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...of the other have their sides about the equal angles reciprocally proportional. (2) Conversely : — Triangles which have one angle of the one equal to one angle of the other and their sides about the equal angles reciprocally proportional are equal to one another. (1) Let...

## Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 σελίδες
...an equilateral triangle is one-third of that of any one of the escribed circles. 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 ; then, if each of the remaining angles be either...

## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 σελίδες
...= ac : aS. .-. A CSA is simr. to A cS a, by vi. 6. 254 Proposition 6. THEOREM — If two triangles have one angle of the one equal to one angle of the other, and the sides about these angles proportional, the triangles are similar ; and those angles which are...

## Annual Report of the Chief Superintendent of Education

1891
...IM GEOMETRY. Time, 1 hr. SO mm. 1 or 2 and all the rest make a full paper. 1. («) 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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 σελίδες
...angle of the other, /iave their sides about the equal angles reciprocally proportional: Conversely, triangles which have one angle of the one equal to one angle of the other, and the sides about these angles reciprocally proportional, are equal in area. Let the As ABC, ADE...

## Annual Report of the Department of Education

...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...