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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 first six books of the Elements of Euclid, with numerous exercises - Σελίδα 126
των Euclides - 1853 - 147 σελίδες
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889 - 1006 σελίδες
...another are proportionals ; and those which are opposite to the equal angles are homologous sides. 6. Equal parallelograms which have one angle of the one...about the equal angles reciprocally proportional. N. В.- --Female candidates will receive credit for any correct work on questions 5 and 6 above. IF...

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

E. J. Brooksmith - 1889 - 354 σελίδες
...a parallelogram ACBD ; bisect AC, BD, in E and F. Join DE, FC, cutting AB in G and H. n. 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. If ABC...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 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. 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 : — Parallelograms which have one angle of the one equal to one angle of the other and the sides about the equal angles reciprocally proportional are equal. (1) Let AB, BC be equal ||gms,...

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...

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

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 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...

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, have their sides about the equal angles reciprocally proportional: Conversely, parallelograms which have one angle of the one equal to one angle of the other, and the sides aboict these angles reciprocally proportional, are equal in area. AF G< 'C Let the par'"'...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 σελίδες
...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...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...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,...




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