Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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... same the antecedents are proportional ( Propor . A. p . viii ) ; there- 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 ...
... same the antecedents are proportional ( Propor . A. p . viii ) ; there- 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 ...
Seite 20
... base and the other the perpendicular , accord- ing to the position in which ... base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines ... equal straight lines , and 20 ELEMENTS OF.
... base and the other the perpendicular , accord- ing to the position in which ... base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines ... equal straight lines , and 20 ELEMENTS OF.
Seite 24
... base BC will be equal to EF , and the triangle ABC to DEF ; and the other angles , to which the equal sides are op- posite , will be equal , each to each , namely , the angle B to E , and the angle C to F. A D B C E F If the triangle ...
... base BC will be equal to EF , and the triangle ABC to DEF ; and the other angles , to which the equal sides are op- posite , will be equal , each to each , namely , the angle B to E , and the angle C to F. A D B C E F If the triangle ...
Seite 25
... equal to two angles of the other , each to each , and have also the sides between those angles equal to each other ... bases of both triangles will be equal to one another ; therefore the sides opposite to them will be equal to one ...
... equal to two angles of the other , each to each , and have also the sides between those angles equal to each other ... bases of both triangles will be equal to one another ; therefore the sides opposite to them will be equal to one ...
Seite 26
... equal to each other , the other corre- sponding sides will be equal , and ... base FC is equal to GB ( 4. 1. ) , and the angle ACF to ABG , and the angle ... base & c . Q. E. D. * : Otherwise . If the side AB be equal to AC , the angle ...
... equal to each other , the other corre- sponding sides will be equal , and ... base FC is equal to GB ( 4. 1. ) , and the angle ACF to ABG , and the angle ... base & c . Q. E. D. * : Otherwise . If the side AB be equal to AC , the angle ...
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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.