Books Books 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 Plane Geometry According to Euclid - Page 129
by Andrew Bell - 1837 - 240 pages ## Annual Report of the Schools of New Brunswick

...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 - Mathematics - 1889
...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... ## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...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,... ## Report of the Secretary for Public Instruction ...

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

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...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 - Geometry - 1890 - 400 pages
...= 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 - Geometry - 1892 - 518 pages
...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

...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... 