Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
Dentro del libro
Resultados 1-5 de 47
Página xii
... arches , which are the foundation of those new applications of Trigonometry that have been introduced with so much advantage into the high- er Geometry . In 1 In the Spherical Trigonometry , the rules for preventing the xii PREFACE .
... arches , which are the foundation of those new applications of Trigonometry that have been introduced with so much advantage into the high- er Geometry . In 1 In the Spherical Trigonometry , the rules for preventing the xii PREFACE .
Página 249
... arch of a circle is any part of the circumference . II . The perimeter of any figure is the length of the line or ... arch Book VIII . Book VIII . arch intercepted between them ; and hence ELEMENTS ...
... arch of a circle is any part of the circumference . II . The perimeter of any figure is the length of the line or ... arch Book VIII . Book VIII . arch intercepted between them ; and hence ELEMENTS ...
Página 250
... arch intercepted between them ; and hence , the perimeter of any polygon defcribed about a circle is greater than the cir- cumference of the circle . 1 I It " PRO P. I. THE OR . res from the greater of two unequal magnitudes there be ...
... arch intercepted between them ; and hence , the perimeter of any polygon defcribed about a circle is greater than the cir- cumference of the circle . 1 I It " PRO P. I. THE OR . res from the greater of two unequal magnitudes there be ...
Página 251
... arch AB is of the whole circumference ABD , the fame is the arch GH of the cir- cumference GHK . But the angle ANB is the fame part of four right angles , that the arch AB is of the circumference ABD ; and the angle GOH is the fame part ...
... arch AB is of the whole circumference ABD , the fame is the arch GH of the cir- cumference GHK . But the angle ANB is the fame part of four right angles , that the arch AB is of the circumference ABD ; and the angle GOH is the fame part ...
Página 253
... arch AB in H ; and through H draw KHL touching the circle in Hy and meeting GA and GB produced in K and L ; KL is the fide of the polygon required . Produce GF to N , fo that GN may be equal to GL ; join KN , and from G draw GM at right ...
... arch AB in H ; and through H draw KHL touching the circle in Hy and meeting GA and GB produced in K and L ; KL is the fide of the polygon required . Produce GF to N , fo that GN may be equal to GL ; join KN , and from G draw GM at right ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore