Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite
... difference . Hence ( a + x ) × ( a — x ) = aa - xx , which is the prop . For DEHG read DEHF For ET read EI For These and the first four lines of p . 111 , read , Because the consequents of these two analogies are the same the ...
... difference . Hence ( a + x ) × ( a — x ) = aa - xx , which is the prop . For DEHG read DEHF For ET read EI For These and the first four lines of p . 111 , read , Because the consequents of these two analogies are the same the ...
Seite 6
... difference of two numbers be multiplied by any number , the product is equal to the sum or difference of the separate products of the first two numbers multiplied by the third . Let A , B , C , be three numbers ; ( B + C ) A = AB + AC ...
... difference of two numbers be multiplied by any number , the product is equal to the sum or difference of the separate products of the first two numbers multiplied by the third . Let A , B , C , be three numbers ; ( B + C ) A = AB + AC ...
Seite 9
... difference between the first and second is to the second , as the difference between the third and fourth is to the fourth . 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 ...
... difference between the first and second is to the second , as the difference between the third and fourth is to the fourth . 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 ...
Seite 43
... difference between the exterior angle and either of the interior and opposite angles is equal to the other in- terior and opposite angle . 2. The three angles of every rectilineal triangle are together equal to two right angles . Let ...
... difference between the exterior angle and either of the interior and opposite angles is equal to the other in- terior and opposite angle . 2. The three angles of every rectilineal triangle are together equal to two right angles . Let ...
Seite 65
... difference of AD and DC . II . In every parallelogram either of the two parallelograms about a diameter , together A with the two complements , are called a gnomon . Thus , the parallelogram HG , toge- E D ther with the complements AF ...
... difference of AD and DC . II . In every parallelogram either of the two parallelograms about a diameter , together A with the two complements , are called a gnomon . Thus , the parallelogram HG , toge- E D ther with the complements AF ...
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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.