A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 páginas |
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Página 16
... equal number of Angles ; and the An- gles of one alfo equal , respectively , to the Angles of the other , each to its corresponding Angle . As , a equal A , b equal B , and c equal C. CDEE . C 43. CONGRUOUS FIGURES are fuch as have all ...
... equal number of Angles ; and the An- gles of one alfo equal , respectively , to the Angles of the other , each to its corresponding Angle . As , a equal A , b equal B , and c equal C. CDEE . C 43. CONGRUOUS FIGURES are fuch as have all ...
Página 30
... equal to a given Line ; AB . Extend or open the Compaffes equal to the Line given ; fix one of their Points in C , the given Point , and , with the other , defcribe a Circle , or portion of a Circle only , at D. ( Pr . 1. ) Apply a ...
... equal to a given Line ; AB . Extend or open the Compaffes equal to the Line given ; fix one of their Points in C , the given Point , and , with the other , defcribe a Circle , or portion of a Circle only , at D. ( Pr . 1. ) Apply a ...
Página 47
... equal to the Triangle ABC . DEM . For , it is half the Rectangle A EFC , which is double the Area of the Triangle ABC . - · 17. I. N. B. If any other angled Parallelogram was required , you muft proceed as in Prob . 19. making the Angle ...
... equal to the Triangle ABC . DEM . For , it is half the Rectangle A EFC , which is double the Area of the Triangle ABC . - · 17. I. N. B. If any other angled Parallelogram was required , you muft proceed as in Prob . 19. making the Angle ...
Página 48
... equal to a Rectangle , and having the fame Base . ABCD is the given Rectangle . F Make the Angle DAE equal to the given An- A gle , cuting BC in E , by 辈- - - Pr . 4 . Produce BC ; and draw DF parallel to AE . - 5- The Parallelogram ...
... equal to a Rectangle , and having the fame Base . ABCD is the given Rectangle . F Make the Angle DAE equal to the given An- A gle , cuting BC in E , by 辈- - - Pr . 4 . Produce BC ; and draw DF parallel to AE . - 5- The Parallelogram ...
Página 51
... equal to a Triangle , ha- ving an Angle equal to a given one , and a Side equal to a given Right Line . ABC is the given Triangle ; X the Angle , and Z the given Line . Make the Parallelogram DEFC , equal to the Triangle ABC , whose ...
... equal to a Triangle , ha- ving an Angle equal to a given one , and a Side equal to a given Right Line . ABC is the given Triangle ; X the Angle , and Z the given Line . Make the Parallelogram DEFC , equal to the Triangle ABC , whose ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.