Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 6
... Spherical Trigonometry John Playfair. 15. Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all ...
... Spherical Trigonometry John Playfair. 15. Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all ...
Página 9
... Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle ... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
... Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle ... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
Página 10
... Spherical Trigonometry John Playfair. occurring at the same time in the two straight lines ED and FD , must fall on their intersection D ; consequently , the two triangles BAC , EDF , are identical , or mutually equal ( Ax . 8 ...
... Spherical Trigonometry John Playfair. occurring at the same time in the two straight lines ED and FD , must fall on their intersection D ; consequently , the two triangles BAC , EDF , are identical , or mutually equal ( Ax . 8 ...
Página 11
... Spherical Trigonometry John Playfair. For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC ...
... Spherical Trigonometry John Playfair. For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC ...
Página 14
... Spherical Trigonometry John Playfair. rior angle ACD is greater than either of the interior opposite angles CBA , BAC ... triangle CEF , and the remaining angles to the remaining angles each to each , to which the equal sides are opposite ...
... Spherical Trigonometry John Playfair. rior angle ACD is greater than either of the interior opposite angles CBA , BAC ... triangle CEF , and the remaining angles to the remaining angles each to each , to which the equal sides are opposite ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore