Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Ergebnisse 1-5 von 80
Seite 25
... Q. E.D. ED . Cor . 1. if two angles of a triangle be equal to each other , the sides opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , then the four angles at the ...
... Q. E.D. ED . Cor . 1. if two angles of a triangle be equal to each other , the sides opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , then the four angles at the ...
Seite 26
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. Cor ... Q. E. D. * : Otherwise . If the side AB be equal to AC , the angle ABC is equal to ACB . For no reason can be assigned that the an- gle ABC should be ...
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. Cor ... Q. E. D. * : Otherwise . If the side AB be equal to AC , the angle ABC is equal to ACB . For no reason can be assigned that the an- gle ABC should be ...
Seite 27
... Q. E. D. ED . Cor . Hence every equilateral triangle is also equiangular , Let ABC be an equilateral triangle ; then because the two sides AB , AC are equal , the angles B and C at the base are equal . Again , because the sides BA , BC ...
... Q. E. D. ED . Cor . Hence every equilateral triangle is also equiangular , Let ABC be an equilateral triangle ; then because the two sides AB , AC are equal , the angles B and C at the base are equal . Again , because the sides BA , BC ...
Seite 28
... Q. E. D. B C Otherwise . If the angle B be equal to C , the side AB is equal to AC . For no reason can be assigned that the side AB should be either greater or less than AC ; therefore the sides AB AC are equal . Q. E.D. ED . Cor ...
... Q. E. D. B C Otherwise . If the angle B be equal to C , the side AB is equal to AC . For no reason can be assigned that the side AB should be either greater or less than AC ; therefore the sides AB AC are equal . Q. E.D. ED . Cor ...
Seite 33
... Q. E. D. ED . Cor . 1. All the angles which any number of straight lines make with another straight line at the same point , and on the same side of the line , are together equal to two right angles . For their sum is equal to the sum ...
... Q. E. D. ED . Cor . 1. All the angles which any number of straight lines make with another straight line at the same point , and on the same side of the line , are together equal to two right angles . For their sum is equal to the sum ...
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 36 - Any two sides of a triangle are together greater than the third side.
Seite 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.
Seite 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...
Seite 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.
Seite 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Seite 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.
Seite 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...
Seite 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.