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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 5
... Spherical Trigonometry John Playfair. 6 L * BD , is named the angle ABD , or DBA ; and that which is contained by ' BD , CB , is called the angle DBC , or CBD ; but , if there be only one an- gle at a point , it may be expressed by a ...
... Spherical Trigonometry John Playfair. 6 L * BD , is named the angle ABD , or DBA ; and that which is contained by ' BD , CB , is called the angle DBC , or CBD ; but , if there be only one an- gle at a point , it may be expressed by a ...
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... Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all ...
... Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all ...
Página 10
... Spherical Trigonometry John Playfair. occurring at the same time in the two ... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an ... angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
... Spherical Trigonometry John Playfair. occurring at the same time in the two ... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an ... angle B be equal to the angle A. For , conceive the angle C to be bisected , or di ...
Página 11
... Spherical Trigonometry John Playfair. For , if AB be not equal to AC , one of ... angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... Spherical Trigonometry John Playfair. For , if AB be not equal to AC , one of ... angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Página 12
... Spherical Trigonometry John Playfair. being equal to the angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that ...
... Spherical Trigonometry John Playfair. being equal to the angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that ...
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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 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