Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - 397 σελίδες |
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Αποτελέσματα 6 - 10 από τα 42.
Σελίδα 281
... Sine 1 : Difference of the Sines of 1 ' and 3 ' :: Sine 2 ' : Difference of the Sines of o ' and 4 ' , that is , to the Sine of 4. And fo the Sines of the four first Minutes being given , we may thereby find the Sines of the others to 8 ...
... Sine 1 : Difference of the Sines of 1 ' and 3 ' :: Sine 2 ' : Difference of the Sines of o ' and 4 ' , that is , to the Sine of 4. And fo the Sines of the four first Minutes being given , we may thereby find the Sines of the others to 8 ...
Σελίδα 282
... Sine of the Arc of 30 Degrees being given , the Sine of the Arc of 15 Degrees may be found , ( by Prop . 3. ) Alfo the Sine of the Arc of 15 Degrees be- ing given , ( by the fame Prop . ) we may have the Sine of 7 Degrees 30 Minutes ...
... Sine of the Arc of 30 Degrees being given , the Sine of the Arc of 15 Degrees may be found , ( by Prop . 3. ) Alfo the Sine of the Arc of 15 Degrees be- ing given , ( by the fame Prop . ) we may have the Sine of 7 Degrees 30 Minutes ...
Σελίδα 283
... Sine of one Minute , AC the Sine of 2 ' Minutes , AD the Sine of 3 ' Minutes ; AE the Sine of 4 ' , & c . Whence if the Sines of one and two Mi- nutes be given , we may eafily find all the other Sines in the following Manner . Let the ...
... Sine of one Minute , AC the Sine of 2 ' Minutes , AD the Sine of 3 ' Minutes ; AE the Sine of 4 ' , & c . Whence if the Sines of one and two Mi- nutes be given , we may eafily find all the other Sines in the following Manner . Let the ...
Σελίδα 284
... Sine of 6 ' . And in like Man- ner , the Sines of every Minute of the Quadrant will be given . And because the Radius , or the firft Term of the Analogy is Unity , the Operations will be with great Eafe and Expedition calculated by ...
... Sine of 6 ' . And in like Man- ner , the Sines of every Minute of the Quadrant will be given . And because the Radius , or the firft Term of the Analogy is Unity , the Operations will be with great Eafe and Expedition calculated by ...
Σελίδα 285
... Sine in Numbers true to a given Place of Figures . And then when the Arc is nearly equal to the Radius , the Series ... Sine is fought , is the Sum and Difference of two Arcs , viz . Az , or A - z : And let the Sine of the Arc A , be ...
... Sine in Numbers true to a given Place of Figures . And then when the Arc is nearly equal to the Radius , the Series ... Sine is fought , is the Sum and Difference of two Arcs , viz . Az , or A - z : And let the Sine of the Arc A , be ...
Άλλες εκδόσεις - Προβολή όλων
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 66 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 163 - 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 triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Σελίδα 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Σελίδα 90 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Σελίδα 10 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Σελίδα 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Σελίδα 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Σελίδα 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.