Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 8
... Let A B C : D , then AD : BC ( 26 ) , .. if A be greater than B , then C is greater than D , if A = B , then C = D , and if A be less than B , then C is less than D. 32. If four quantities be proportional , according as the first ...
... Let A B C : D , then AD : BC ( 26 ) , .. if A be greater than B , then C is greater than D , if A = B , then C = D , and if A be less than B , then C is less than D. 32. If four quantities be proportional , according as the first ...
Seite 9
... Let A B C : D , then ( by division ) A - BB :: C - -D : D. A C For = and B D ' B D A - B C D = or B B D - -D : D. A - B : B :: C 39. If four quantities be proportional , the first is to the sum or difference of the first and second , as ...
... Let A B C : D , then ( by division ) A - BB :: C - -D : D. A C For = and B D ' B D A - B C D = or B B D - -D : D. A - B : B :: C 39. If four quantities be proportional , the first is to the sum or difference of the first and second , as ...
Seite 22
... Let AB be the given straight line ; it is required to describe an ... ABC will be an equilateral triangle . Because the point A is the centre of ... ABC ; therefore the triangle ABC is equilateral ; and it is described on the given ...
... Let AB be the given straight line ; it is required to describe an ... ABC will be an equilateral triangle . Because the point A is the centre of ... ABC ; therefore the triangle ABC is equilateral ; and it is described on the given ...
Seite 24
... Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ; and the angle A equal to D ; then the base BC will be equal to EF , and the triangle ABC to DEF ; and the other angles , to which the equal sides are ...
... Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ; and the angle A equal to D ; then the base BC will be equal to EF , and the triangle ABC to DEF ; and the other angles , to which the equal sides are ...
Seite 25
... Let ABC , DEF be two triangles which have the angles B , C equal to the angles E , F , each to each , and the side ... Let the triangle ABC be applied to DEF , so that the side BC may coincide with EF ; then the side AB will lie on DE ...
... Let ABC , DEF be two triangles which have the angles B , C equal to the angles E , F , each to each , and the side ... Let the triangle ABC be applied to DEF , so that the side BC may coincide with EF ; then the side AB will lie on DE ...
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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.