Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
Dentro del libro
Resultados 1-5 de 38
Página 18
... circumference , and all straight lines drawn from the centre to the circumference are equal to one another . 21. A diameter of a circle is a straight line drawn through the cen- tre , and terminated both ways by the circumference ; and ...
... circumference , and all straight lines drawn from the centre to the circumference are equal to one another . 21. A diameter of a circle is a straight line drawn through the cen- tre , and terminated both ways by the circumference ; and ...
Página 22
... circumference of the circle BCD ( 3 Postulate ) ; and from the centre B , at the distance BA , describe the circumference of the circle ACE . Then , because the circumference of each cir- cle passes through the cen- . tre of the other ...
... circumference of the circle BCD ( 3 Postulate ) ; and from the centre B , at the distance BA , describe the circumference of the circle ACE . Then , because the circumference of each cir- cle passes through the cen- . tre of the other ...
Página 83
... circumference . And the chord of any arch is the straight line joining the two extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included ...
... circumference . And the chord of any arch is the straight line joining the two extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included ...
Página 84
... circumference between them . C. If the radii , or the two straight lines containing the angle , be perpendicular to each other , or form a right angle , the sector is called a quadrant . ED . 9. Similar segments of circles are those ...
... circumference between them . C. If the radii , or the two straight lines containing the angle , be perpendicular to each other , or form a right angle , the sector is called a quadrant . ED . 9. Similar segments of circles are those ...
Página 88
... circumference , which shall touch a given circle . That is , to draw a tangent to a circle . First , let A be a given point without the given circle BCD ; it is required to draw a straight line from A which shall touch the circle . Find ...
... circumference , which shall touch a given circle . That is , to draw a tangent to a circle . First , let A be a given point without the given circle BCD ; it is required to draw a straight line from A which shall touch the circle . Find ...
Otras ediciones - Ver todas
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Términos y frases comunes
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Pasajes populares
Página 36 - Any two sides of a triangle are together greater than the third side.
Página 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Página 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Página 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Página 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Página 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Página 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.