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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 σελίδες |
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Σελίδα 474
... radius of the circle of which the meas sure of a given angle is an arch , that cast arch will contain the same number of degrees , minutes , seconds , & c , as is ma- nifest from Lemma qu esan Jose alem : Ingin Wot of od liv OA olgne or ...
... radius of the circle of which the meas sure of a given angle is an arch , that cast arch will contain the same number of degrees , minutes , seconds , & c , as is ma- nifest from Lemma qu esan Jose alem : Ingin Wot of od liv OA olgne or ...
Σελίδα 475
... radius CB to the radius , NB , and AE to MP as AB to BM , and BC or BA to BD , as BN or BM to BO and , by conversion , DA to MO as AB to MB . Hence the corollary is manifest ; therefore , if the radius be supposed to be di- Olvided into ...
... radius CB to the radius , NB , and AE to MP as AB to BM , and BC or BA to BD , as BN or BM to BO and , by conversion , DA to MO as AB to MB . Hence the corollary is manifest ; therefore , if the radius be supposed to be di- Olvided into ...
Σελίδα 476
... radius , the sides become the sides of the angles opposite to them ; and if either side be made radius , the remaining side is the tangent of the angle opposite to it , and the hypothenuse the secant of the same angle . 7188 7 Let ABC ...
... radius , the sides become the sides of the angles opposite to them ; and if either side be made radius , the remaining side is the tangent of the angle opposite to it , and the hypothenuse the secant of the same angle . 7188 7 Let ABC ...
Σελίδα 477
... radius , CE is the sine of the angle CBA , and BD the sine of the angle ACB ; but the two trian- gles CAE , DAB have each a right angle at D and E ; and likewise the common angle CAB ; therefore they are similar , and consequently , CA ...
... radius , CE is the sine of the angle CBA , and BD the sine of the angle ACB ; but the two trian- gles CAE , DAB have each a right angle at D and E ; and likewise the common angle CAB ; therefore they are similar , and consequently , CA ...
Σελίδα 478
... radius is to the tangent of an angle , and the radius is to the tangent of the excess of this angle above half a right angle as the tangent of half the sum of the angles B and C at the base , is to the tan of half their difference . 4 ...
... radius is to the tangent of an angle , and the radius is to the tangent of the excess of this angle above half a right angle as the tangent of half the sum of the angles B and C at the base , is to the tan of half their difference . 4 ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
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ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex