Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 7
... square of the mean . If AB :: B : C , then AC = Bo . A B For = ... AC = B3 . B C ' 28. Cor . B✓ AC , that is , a geometrical mean proportion- al between two quantities is equal to the square root of their product . 29. If any three ...
... square of the mean . If AB :: B : C , then AC = Bo . A B For = ... AC = B3 . B C ' 28. Cor . B✓ AC , that is , a geometrical mean proportion- al between two quantities is equal to the square root of their product . 29. If any three ...
Seite 11
... square of the first is to the square of the second ; the first quantity will be to the fourth as the cube of the first is to the cube of the second , & c . that is , A : C :: A : B , or in the duplicate ratio of A : B ; A : D :: A3 : B3 ...
... square of the first is to the square of the second ; the first quantity will be to the fourth as the cube of the first is to the cube of the second , & c . that is , A : C :: A : B , or in the duplicate ratio of A : B ; A : D :: A3 : B3 ...
Seite 13
... square of the mean . If four quantities be proportional , according as the first quantity is equal to , greater , or less than the se- cond , the third is equal to , greater , or less than the fourth ; or according as the first quantity ...
... square of the mean . If four quantities be proportional , according as the first quantity is equal to , greater , or less than the se- cond , the third is equal to , greater , or less than the fourth ; or according as the first quantity ...
Seite 14
... square of the first is to the square of the second . ELEMENTS OF GEOMETRY . BOOK I. * EXPLANATION OF TERMS 14 PROPORTION .
... square of the first is to the square of the second . ELEMENTS OF GEOMETRY . BOOK I. * EXPLANATION OF TERMS 14 PROPORTION .
Seite 19
... square is that which has one right angle , and all its sides equal . 34. A rectangle is that which has all its angles right angles , but has not all its sides equal . 35. A parallelogram is that which has its two opposite GEOMETRY . 19 ...
... square is that which has one right angle , and all its sides equal . 34. A rectangle is that which has all its angles right angles , but has not all its sides equal . 35. A parallelogram is that which has its two opposite GEOMETRY . 19 ...
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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.