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" ... be given, they shall each of them be given. Let AB, BC contain the parallelogram AC given in magnitude, in the given angle ABC, and let the excess of BC above AB be given ; each of the straight lines AB• BC is given. "
Treatise on Conic Sections - Pagina cv
di Apollonius (of Perga.) - 1896 - 254 pagine
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 pagine
...that is the parallelogram AC is equal to the given reftangle EG, GH. PROP. LXXXVIII. TF two ftraight lines contain a parallelogram given in magnitude, in a given angle ; if the fum of ihe fquares of its fides be given, the fides fliall each of them be given. Let the two ftraight...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 pagine
...exceeding by the parallelogram BC which is equal to the given fpace. PROP. LXXXV. 8«. TF two ftraight lines contain a parallelogram given in magnitude, in a given angle ; if the difference of the ftraight lines be given, they fhall each of them be given. Let AB, BC contain...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 pagine
...therefore AB, BC m each of them given. PROP. LXXXVI. ?.;.. TF two ftraight lines contain a parailelcKrnm given in -*• magnitude, in a given angle; if both of them together be given, they ihall each of them be given. Let the two ftraight lines AB, BC contain the parallelogram AC given in...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pagine
...exceeding by the parallelogram BC which is equal to the given fpace. '.t '. PROP. LXXXV. 84TF two ftraight lines contain a parallelogram given in magnitude, in a given angle ; if the difference of the ftraight lines be given, they fhall each of them be given. Let AB, BC contain...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 pagine
...exceeding by the parallelogram BC which is equal to the given fpace. PROP. LXXXV. 84. IF two ftraight lines contain a parallelogram given in magnitude, in a given angle; if the difference of the ftraight lines be given, they mall each of them be given. Let AB, BC contain...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagine
...the one given and exceeding by the parallelogram BC which is equal to the given space. PROP. LXXXV. IF two straight lines contain a parallelogram given in magnitude, in a given angle ; if the difference of the straight lines be given, they shall each of them be given. Let AB, BC contain...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 pagine
...the whole BC is given : and AB is given> therefore AB, BC are each of them given. 85. PROP. LXXXVI. IF two straight lines contain a parallelogram given...given angle ; if both of them together be given, they bhall each of them be given. LeSthe two straight lines AB, BC contain the parallelogram AC given in...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pagine
...whole KC is given : and AB is given, therefore AB, BC, are each of them given. 85. PROP.LXXXVI. IF hvo straight lines contain a parallelogram given in magnitude,...together be given, they shall each of them be given. Let the two straight lines AB, BC, contain the parallelogram AC given in magnitude, in the given angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagine
...each of the straight lines A T> Ti /~t • i 5 1* * AB, BC, is therefore given. , sr. PROP. LXXXVII. IF two straight lines contain a parallelogram given in magnitude, in a given angle ; if the excess of the square of the greater above the square of the lesser be given, each of the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagine
...the whole BC is given : and AB is given, therefore AB, BCare each of them given. 89. PROP. LXXXVI. IF two straight lines contain a parallelogram given...together be given, they shall each of them be given. Let the two straight lines AB, BC contain the parallelogram AC given in magnitude, in the given angle...
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