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 7
... equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent figures , to such as have equal surfaces . Two ...
... equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent figures , to such as have equal surfaces . Two ...
Página 11
... equiangular triangle is also equilateral . PROP . V. THEOR . When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each ...
... equiangular triangle is also equilateral . PROP . V. THEOR . When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each ...
Página 23
... equiangular . COR . 3. In any triangle there can be but one right angle ; for if there were two , the third angle must be nothing . Still less can a triangle have more than one right angle . COR . 4. In every right - angled triangle ...
... equiangular . COR . 3. In any triangle there can be but one right angle ; for if there were two , the third angle must be nothing . Still less can a triangle have more than one right angle . COR . 4. In every right - angled triangle ...
Página 24
... equiangular , each angle is equal to the fifth part of six right angles , or g of one right angle . COR . 4. The sum of the angles of a hexagon is equal to 2 × ( 6—2 ) , or eight right angles ; hence , in the equiangular hexagon , each ...
... equiangular , each angle is equal to the fifth part of six right angles , or g of one right angle . COR . 4. The sum of the angles of a hexagon is equal to 2 × ( 6—2 ) , or eight right angles ; hence , in the equiangular hexagon , each ...
Página 25
... equiangular ( Th . 5. ) , or have their corresponding angles equal ; consequently , the op- posite sides are parallel ; namely , the side AB parallel to CD , and BD pa- rallel to AC ; and , therefore , the figure is a parallelogram ...
... equiangular ( Th . 5. ) , or have their corresponding angles equal ; consequently , the op- posite sides are parallel ; namely , the side AB parallel to CD , and BD pa- rallel to AC ; and , therefore , the figure is a parallelogram ...
Otras ediciones - Ver todas
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 |