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 3
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 3.
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 3.
Página 4
... hence , frequently occurs . Το express either of these words , the sign .. is generally used . 30. If the quotients of two pairs of numbers , or quantities , are equal , the quantities are said to be proportional : thus , if - A с B Ꭰ ...
... hence , frequently occurs . Το express either of these words , the sign .. is generally used . 30. If the quotients of two pairs of numbers , or quantities , are equal , the quantities are said to be proportional : thus , if - A с B Ꭰ ...
Página 9
... side ED ; and , in like manner , because the angle C is equal to the angle F , the side AC must fall on the side DF . Hence , the point A , occurring at the same time in the two straight lines 2 OF GEOMETRY . BOOK I.
... side ED ; and , in like manner , because the angle C is equal to the angle F , the side AC must fall on the side DF . Hence , the point A , occurring at the same time in the two straight lines 2 OF GEOMETRY . BOOK I.
Página 10
... hence , these two are right angles : hence , the line bisecting the vertical angle of an isosceles tri- angle is perpendicular to its base , and divides that base into two equal parts . In a triangle which is not isosceles , any side ...
... hence , these two are right angles : hence , the line bisecting the vertical angle of an isosceles tri- angle is perpendicular to its base , and divides that base into two equal parts . In a triangle which is not isosceles , any side ...
Página 11
... Hence every 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 ...
... Hence every 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 ...
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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 |