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 7
... equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the same order ; that is to say , when follow- ing their ...
... equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the same order ; that is to say , when follow- ing their ...
Página 8
... equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5 ...
... equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5 ...
Página 9
... equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
... equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
Página 10
... equal ( Ax . 8. ) . COROLLARY . Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC ...
... equal ( Ax . 8. ) . COROLLARY . Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC ...
Página 11
... equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the ...
... equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the ...
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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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |