 | Education, Higher - 1882 - 498 pages
...as their altitudes. 15. The sides about the equal angles of equiangular triangles are proportionals; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. 16. If two diagonals of a regular pentagon be drawn to cut one another, the greater segments will be... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...about the equal angles of triangles which are equiangular to one another are proportionals; and t}ws« which are opposite to the equal angles are homologous sides, that is, are ilie antecedents or the consequents of the ratios. Let thetriangle^l.BCbe equiangular to the triangle... | |
 | 1884 - 266 pages
...triangle. 8. The sides about th e equal angles of equiangular triangles are proportionals, and those opposite to the equal angles are homologous sides...are the antecedents or consequents of the ratios. ABC is any right.angled triangle having the angle at A a right angle. If the angle at C be bisected... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...tfi ,? PEOP. IV.— THEOREM. The sides about the equal angles of equiangular triangles '(BAC, CDE) are proportional, and those which are opposite to the equal angles are homologous. pem. — Let the sides BC, CE, which are opposite to th(i equal angles A and D, be conceived to be... | |
 | Euclides - 1885 - 340 pages
...+ FF ~ ' PROP. IV.—THEORESC. The sides about the equal angles of equiangular triangles (BAC, CDE) are proportional, and those which are opposite to the equal angles are homologous. Dem. — Let the sides BC, CE, which are opposite to the equal angles A and D, be conceived to be placed... | |
 | 1885 - 608 pages
...sides about the equal angles of triangles, which are equiangular to one another, are proportionals ; and those which are opposite to the equal angles, are homologous sides. 5. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...sides about the equal angles of triangles which are equiangular to one 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 equal to one angle of the other, have their... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...sides about the equal angles of triangles which are equiangular to one another are proportionals ; and those which are opposite to the equal angles are homologous sides. If ABC be a semi-circle of which O is the centre, and OB perpendicular to AC, and ADE a chord cutting... | |
 | 1904 - 226 pages
...sides about the equal angles of triangles which are equiangular to one another are proportionals ; and those which are opposite to the equal angles are homologous sides. 10. If ABC be an equilateral triangle, and P a point on the circum-circle on the side of BC remote... | |
 | Cowley Oxon, dioc. school - 1860 - 318 pages
...of the third angle. 11. The sides about the equal angles of equiangular triangles are proportionals; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. 12. Upon a given straight line to describe a segment of a circle which shall contain an angle equal... | |
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The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE, be equiangular triangles, having... 
