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" Equal parallelograms which have one angle of the one equal to one angle of 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... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 94
by Dennis M'Curdy - 1846 - 138 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...found. QEF PEOPOSITION XIV. THEOREM. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: and conversely, parallelograms that have one angle of (he one equal to one angle of the other, and their...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 334 pages
...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 +), (x + y - z). 7. Given x...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...to a given rectilineal figure. 4. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and conversely. 5. If two chords intersect the diameter of a circle at the same point and make equal angles...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 pages
...root of 3312400. VOLUNTARY PORTION. 1. 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. If the sides above mentioned are in one triangle 63 and 84 feet in length, and in the other triangle...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...BC. V. 8. QED Pnoposmoif XV. THEOREM. 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. Let A BO, ADE be equal AS, having L BAC= L DAE. Then must CA be to AD as EA is to AB. Place the A s...
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Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 284 pages
...equal angles are reciprocally proportional (AB to BC as LB to BD). And if two triangles (ABD and CBL), have an angle of one equal to an angle of the other, and the sides about the equal angles reciprocally proportional, they will be equal to one another....
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874 - 234 pages
...XI— THEOREM. (Euc. VI. 14, 15.) Equal parallelograms and equal triangles, which have an angle of the one equal to an angle of the other, have their sides...about the equal angles reciprocally proportional; and conversely. Let MB and BN be equal MV parallelograms which have the angles ABE and DBC equal to one...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...parallelograms, &c. QED PROPOSITION 15.— Theorem. Equal triangles which hare one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and conversely, triangles wliich have one angle in the one equal to one angle in the other, and their sides...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1874 - 648 pages
...whole area of the pentagon. •t. Equal parallelograms which hare one angle of the one 10 equal to one angle of the other have their sides about the equal angles reciprocally proportional ; and if the sides about the equal angles bo reciprocally proportional the parallelograms are equal to one...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...these produced, proportionally. 7. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. 8. Prove that the ratio of the diameter of the circle described about a triangle to any one of the...
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