A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 Seiten |
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Seite 129
... consequently , the length of the remaining Side , a c , would be fomewhat . more than the difference between ab and bc ; viz . acab - bc , nearly . Again . Suppofe the Angle made by the Sides AB , BC , equal a b , bc , the largeft ...
... consequently , the length of the remaining Side , a c , would be fomewhat . more than the difference between ab and bc ; viz . acab - bc , nearly . Again . Suppofe the Angle made by the Sides AB , BC , equal a b , bc , the largeft ...
Seite 152
... K , would tend towards the Center C , in the direction LC ; and consequently , would be more inclined to FG , the farther the point K is from the Perpendicular C1 . ELE- O F GEOMETRY . TH BOOK II . HE fecond 152 ELEMENTS OF GEOMETRY .
... K , would tend towards the Center C , in the direction LC ; and consequently , would be more inclined to FG , the farther the point K is from the Perpendicular C1 . ELE- O F GEOMETRY . TH BOOK II . HE fecond 152 ELEMENTS OF GEOMETRY .
Seite 169
... consequently , when the Square of one Side is equal to the squares of the other two , the An- gle it fubtends is a Right one . COR . Hence , the Perpendicular , and confequently the A- rea of any Triangle , may be found or obtained , by ...
... consequently , when the Square of one Side is equal to the squares of the other two , the An- gle it fubtends is a Right one . COR . Hence , the Perpendicular , and confequently the A- rea of any Triangle , may be found or obtained , by ...
Seite 194
... consequently the Angle AEC ( eq . CEF ) = ABC + CBF ; i . e . the Angle ABF , on the Ark ACF , is equal to AEC , ( or CEF ) on AC , or CF , half that Ark . COR . 2. In the fame or equal Circles , Angles ftanding on equal Arks , whether ...
... consequently the Angle AEC ( eq . CEF ) = ABC + CBF ; i . e . the Angle ABF , on the Ark ACF , is equal to AEC , ( or CEF ) on AC , or CF , half that Ark . COR . 2. In the fame or equal Circles , Angles ftanding on equal Arks , whether ...
Seite 295
... consequently , ACD = DEG . - Ax . 4. 1 . and , their Sides , AD , DC ; DE , DG , are reciprocally proportional . COR . 2. Parallelograms , or Triangles , having their Bafes and Altitudes reciprocally proportional , are equal . For ...
... consequently , ACD = DEG . - Ax . 4. 1 . and , their Sides , AD , DC ; DE , DG , are reciprocally proportional . COR . 2. Parallelograms , or Triangles , having their Bafes and Altitudes reciprocally proportional , are equal . For ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD alfo alfo equal alſo Altitudes Angle ABC Area Bafe Baſe becauſe bifected Center Chord Circle circumfcribing Circumference Cone conf confequently Conftruction contains cuting Cylinder defcribe Demonftration Diagonal Diameter divided Divifions draw drawn Ellipfis equal Angles equiangular Euclid external Angle fame manner fame Plane fame Ratio fecond fhall Figure fimilar fince firft firſt fome fquare fubtends fuch fuppofe Geometry given Line greater half Heptagon Ifofceles Inches infcribed interfecting laft lefs manifeft mean Proportional meaſure multiplied neceffary Nonagon oppofite parallel Parallelogram Parallelopiped Pentagon perpendicular pleaſure Point Poligon Prifm Priſm Prob Propofition Pyramid Quantities Radius reaſon Rect Rectangle refpectively Right Angles Right Line Segment Sides Sphere Square Tangent THEOREM thofe thoſe Trapezium Triangle ABC uſe wherefore whofe
Beliebte Passagen
Seite 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 215 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 279 - EG, let fall from a point in the circumference upon the diameter, is a mean proportional between the two segments of the diameter DS, EF (p.
Seite 278 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Seite 180 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.
Seite 242 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Seite 155 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Seite 154 - In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base.
Seite 244 - Ratios that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F.
Seite 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.