Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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Página 83
... 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 between an arch and its ...
... 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 between an arch and its ...
Página 84
... chord which is the base of the segment . 7. An angle is said to stand on the arch intercepted between the straight lines which contain the angle . 8. The sector of a circle is the figure contained by two straight lines drawn from the ...
... chord which is the base of the segment . 7. An angle is said to stand on the arch intercepted between the straight lines which contain the angle . 8. The sector of a circle is the figure contained by two straight lines drawn from the ...
Página 85
... chord , it will cut the chord at right angles ; and if it cut a chord at right angles , it will bisect the chord . 1. Let ABC be a circle , and let a diameter CD bisect any chord AB in the point F ; CD cuts AB at right angles . C Take E ...
... chord , it will cut the chord at right angles ; and if it cut a chord at right angles , it will bisect the chord . 1. Let ABC be a circle , and let a diameter CD bisect any chord AB in the point F ; CD cuts AB at right angles . C Take E ...
Página 86
... chord . For the radii EA , EB are equal , and also the angles AED , BED ; therefore if the sector AED be supposed to ... chords in a circle are equally distant from the centre ; and chords in a circle which are equally distant from the ...
... chord . For the radii EA , EB are equal , and also the angles AED , BED ; therefore if the sector AED be supposed to ... chords in a circle are equally distant from the centre ; and chords in a circle which are equally distant from the ...
Página 93
... chords are subtended by equal arches . COR . 4. If a radius ED ( Figure 3. 3 ) bisect a chord AB , it will also bisect the arch subtended by that chord . For the tri- angles AEF and BEF , being mutually equilateral , are equal in all ...
... chords are subtended by equal arches . COR . 4. If a radius ED ( Figure 3. 3 ) bisect a chord AB , it will also bisect the arch subtended by that chord . For the tri- angles AEF and BEF , being mutually equilateral , are equal in all ...
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.