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 |
Dentro del libro
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Página 6
... hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided figures , a square is that which has all its sides equal and all ...
... hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided figures , a square is that which has all its sides equal and all ...
Página 18
... hypotenuse and one side of a right angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian- gles are equal . Suppose the hypotenuse AC - DF , and the side AB - DE ; the right ...
... hypotenuse and one side of a right angled triangle , are respectively equal to the hypotenuse and one side of another ; the two right angled trian- gles are equal . Suppose the hypotenuse AC - DF , and the side AB - DE ; the right ...
Página 31
... hypotenuse diminished by the square of the other side ; which is thus expressed : AB2 = BC2 — AC2 . COR . 2. If AB AC ; that is , if the triangle ABC be right angled and isosceles ; BC2 = 2AB2 = 2AC2 ; therefore , BC = AB √2 . COR . 3 ...
... hypotenuse diminished by the square of the other side ; which is thus expressed : AB2 = BC2 — AC2 . COR . 2. If AB AC ; that is , if the triangle ABC be right angled and isosceles ; BC2 = 2AB2 = 2AC2 ; therefore , BC = AB √2 . COR . 3 ...
Página 38
... hypotenuse would meet BC at equal distances from the common perpendicular , these triangles would be equal . Secondly . If the given angle be acute , and the side opposite to it greater than the adjacent side , the same mode of ...
... hypotenuse would meet BC at equal distances from the common perpendicular , these triangles would be equal . Secondly . If the given angle be acute , and the side opposite to it greater than the adjacent side , the same mode of ...
Página 214
... hypotenuse to either of the sides , so the radius to the sine of the angle opposite to that side ; and as either of the sides is to the other side , so is the radius to the tangent of the angle oppo- site to that side . Let ABC be a ...
... hypotenuse to either of the sides , so the radius to the sine of the angle opposite to that side ; and as either of the sides is to the other side , so is the radius to the tangent of the angle oppo- site to that side . Let ABC be a ...
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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 |