Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
Dentro del libro
Resultados 1-5 de 55
Página 16
... joins them lies wholly in that . superficies . 9. If two straight lines diverge from the same point , the opening between them is called an angle . ED . 10. An angle is formed by the meeting , or intersection of two lines . The point of ...
... joins them lies wholly in that . superficies . 9. If two straight lines diverge from the same point , the opening between them is called an angle . ED . 10. An angle is formed by the meeting , or intersection of two lines . The point of ...
Página 20
... joining two of its opposite angles . ED . 37. A straight line joining two opposite angles of any quadrilateral figure , or two opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite ...
... joining two of its opposite angles . ED . 37. A straight line joining two opposite angles of any quadrilateral figure , or two opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite ...
Página 22
... straight line . Let A be the given point , and BC the given straight line ; it is required to draw from A a straight line equal to BC . * This demonstration is full and minute . Join the points A , B , and on ARB 22 ELEMENTS OF.
... straight line . Let A be the given point , and BC the given straight line ; it is required to draw from A a straight line equal to BC . * This demonstration is full and minute . Join the points A , B , and on ARB 22 ELEMENTS OF.
Página 23
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. Join the points A , B , and on ARB describe the equilateral triangle DAB ( Prop . 1 ) . From the centre B , at the distance BC , describe the circle CGH ...
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. Join the points A , B , and on ARB describe the equilateral triangle DAB ( Prop . 1 ) . From the centre B , at the distance BC , describe the circle CGH ...
Página 26
... join FC , GB . The side AF is equal to AG , and AB to AC , and the angle A is common to the two triangles AFC , AGB ; therefore the base FC is equal to GB ( 4. 1. ) , and the angle ACF to ABG , and the angle AFC to AGB . Because AF is ...
... join FC , GB . The side AF is equal to AG , and AB to AC , and the angle A is common to the two triangles AFC , AGB ; therefore the base FC is equal to GB ( 4. 1. ) , and the angle ACF to ABG , and the angle AFC to AGB . Because AF is ...
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.