Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite
... fore , the triangle ECH : ADL :: base CH : DL . For meet read meet , for if not , the angles B and E would be equal to two right an- gles ( 29.1 ) For ; wherefore read , and For 61 read 6 For 2 read 3 For circles read circle For 2 read ...
... fore , the triangle ECH : ADL :: base CH : DL . For meet read meet , for if not , the angles B and E would be equal to two right an- gles ( 29.1 ) For ; wherefore read , and For 61 read 6 For 2 read 3 For circles read circle For 2 read ...
Seite 23
... fore AL and BC are each of them equal to BG ; therefore the line AL is equal to BC ( 1 Ax . ) ; and AL is drawn from the given point A , as was to be done . PROPOSITION III . PROBLEM . From the greater of two given straight lines to cut ...
... fore AL and BC are each of them equal to BG ; therefore the line AL is equal to BC ( 1 Ax . ) ; and AL is drawn from the given point A , as was to be done . PROPOSITION III . PROBLEM . From the greater of two given straight lines to cut ...
Seite 26
... fore , the angles at the base & c . 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 either greater or less than ACB ; therefore the ...
... fore , the angles at the base & c . 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 either greater or less than ACB ; therefore the ...
Seite 28
... fore , if two angles & c , 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 ...
... fore , if two angles & c , 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 ...
Seite 30
... fore the angle BAC is bisect- ed by the straight line AF . Which was to be done . A D E F Scholium . In the same manner may each of the angles BAF , CAF be bisected . Therefore by successive subdivi- sions an angle may be divided into ...
... fore the angle BAC is bisect- ed by the straight line AF . Which was to be done . A D E F Scholium . In the same manner may each of the angles BAF , CAF be bisected . Therefore by successive subdivi- sions an angle may be divided into ...
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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.