 | Robert Potts - 1865 - 528 σελίδες
...the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIL THEOREM. lf 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... | |
 | Euclides - 1865 - 402 σελίδες
...equiangular to the triangle SET. Wherefore, if the sides, &c. QED PROP. VI.— THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, then the triangles shall be equiangular, and shall... | |
 | Simon Somerville Laurie - 1865 - 432 σελίδες
...ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar... | |
 | James Robert Christie - 1866 - 428 σελίδες
...described about a circle are together equal to the other two opposite sides. 5. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and &c. 6.... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...Hence the result may be extended to triangle?, and we hava the following theorem, triangles which, ham 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 their sides. Then VI. 19 is an immediate... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...GFL, and BA is to AE as GFis to FL. [VI. Definition I. And, because the triangles ABE and FGL have one angle of the one equal to one angle of the other, and the side* about these equal angles proportionals, therefore the triangle ABE is equiangular to... | |
 | Edinburgh univ - 1868 - 334 σελίδες
...the segments of the other. 4. To inscribe a circle in a given triangle. 5- 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. 6. Find the continued product of (x + y + z), ( - x + y + z), (x - y +«),... | |
 | Elizabethan club - 1880 - 156 σελίδες
...the line which meets it, the line which meets shall touch the circle. 49 10. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular to each other,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...the hexagon, prove that the square on AC is three times the square on AB. 10. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are similar. If two chords AB, AC... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 7. THEOREM. 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... | |
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IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
