The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth : the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored : Also, The Book of Euclid's Data, in Like Manner CorrectedDesilver & Thomas, 1834 - 419 sider |
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Resultat 1-5 av 7
Side 397
... Co S , C. If ABq + CBq be greater than ABq . Fig . 16 . 2 AC X CB ABq - ACq- the three CBq + :: R : Co S , C. If ABq angles . be greater than ACqxCBq . Fig . .17 . ( 4. ) Otherwise . Let AB + BC + AC = 2 P. P + P - AB : P - AC + P - BC ...
... Co S , C. If ABq + CBq be greater than ABq . Fig . 16 . 2 AC X CB ABq - ACq- the three CBq + :: R : Co S , C. If ABq angles . be greater than ACqxCBq . Fig . .17 . ( 4. ) Otherwise . Let AB + BC + AC = 2 P. P + P - AB : P - AC + P - BC ...
Side 408
... S , BA is to the Co - T , B , as T , AC is to the radius , and therefore Rx S , BA = Co - T , B x T , AC . The same side BA , being the middle part , the complement of the hypothenuse , and the complement of the angle C , are opposite ...
... S , BA is to the Co - T , B , as T , AC is to the radius , and therefore Rx S , BA = Co - T , B x T , AC . The same side BA , being the middle part , the complement of the hypothenuse , and the complement of the angle C , are opposite ...
Side 409
... Co - S , B is to Co - T , BC , as T , BA , is to the radius , and therefore R x Co - S , B = Co - T , BC x T , BA . Again , Let the complement of the angle B be the middle part , and the complement of the angle C , and the side AC will ...
... Co - S , B is to Co - T , BC , as T , BA , is to the radius , and therefore R x Co - S , B = Co - T , BC x T , BA . Again , Let the complement of the angle B be the middle part , and the complement of the angle C , and the side AC will ...
Side 410
... Co - S , AC :: S , C : Co - S , B and B is of the same species with CA , by 22 , and 13 . C Co - S , AC : R :: Co - S , B : S , C : by 22 . AC S , C : Co - S , B :: R : Co - S , AC : by 22 . and AC is of the same species with B. 13 . R : Co ...
... Co - S , AC :: S , C : Co - S , B and B is of the same species with CA , by 22 , and 13 . C Co - S , AC : R :: Co - S , B : S , C : by 22 . AC S , C : Co - S , B :: R : Co - S , AC : by 22 . and AC is of the same species with B. 13 . R : Co ...
Side 411
... Co - S , C :: T , BC : T , CA. 20. If BC BC , CAC be less or greater than a quadrant , C and B will be of the same or different affection . 15. 13 . AC , C BC 11 BC , CA 12 13 C BC , B AC Co - S , C : R :: T , AC : T , BC . 20. And BC ...
... Co - S , C :: T , BC : T , CA. 20. If BC BC , CAC be less or greater than a quadrant , C and B will be of the same or different affection . 15. 13 . AC , C BC 11 BC , CA 12 13 C BC , B AC Co - S , C : R :: T , AC : T , BC . 20. And BC ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore