 | Robert Potts - 1860 - 380 σελίδες
...to the triangle DEF. Wherefore, if two triangles. &c. QED PROPOSITION VII. 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 eitlter... | |
 | War office - 1861 - 714 σελίδες
...isosceles triangle having each of the angles at the base one-third of the third angle. 2. 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... | |
 | Euclides - 1861 - 464 σελίδες
...2. & H. 6 22, V. 7 6, VI. 8 Sim. 9 Cone. 10 H. 11 22, V. 16, V. PROP. 7. — THEOR. 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... | |
 | Woolwich roy. military acad - 1861 - 572 σελίδες
...the other, have their sides about the equal angles reciprocally proportional, and parallelograms that 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. 9. Prove... | |
 | War office - 1861 - 260 σελίδες
...angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 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, and if each of the remaining angles be not less... | |
 | Robert Potts - 1863 - 482 σελίδες
...sides produced. Also describe a circle touching three sides of a parallelogram. 6. 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, triangle shall be equiangular, and shall have... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...is obtuse-angled, prove that the centre of the circumscribing circle is outside of the triangle. 11. Parallelograms 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. 12. Let... | |
 | Euclides - 1864 - 448 σελίδες
...8. Cor.) therefore between the two given straight lines AB, BC, a mean proportional DB is found. QEF PROPOSITION XIV. THEOREM. Equal parallelograms, which have one angle of the one equal to one avgle of the other, have their sides about Che equal angles reciprocally proportional: and conversely,... | |
 | Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...angles at B reciprocally proportional, the order of the proportion being DB is to BE as GB is to BF. PROPOSITION XIV. THEOREM. Equal parallelograms, which...about the equal angles reciprocally proportional. Let AB, BC be equal Oa, having L FBD= L EBG. Then must DB be to BE as GB is to BF. Place the /Us so... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms 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. Let AB,... | |
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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. 
