Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Im Buch
Ergebnisse 1-5 von 28
Seite 5
... Center of the Circle . -B E A C D 17. A Diameter of a Circle is a right Line drawn through the Center thereof , terminating both ways at the Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a ...
... Center of the Circle . -B E A C D 17. A Diameter of a Circle is a right Line drawn through the Center thereof , terminating both ways at the Circumference , and dividing the Circle in- to two equal Parts . 18. A Semi - circle is a ...
Seite 13
... Center C , with the Distance CB , defcribe the Circle CBE . Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft ...
... Center C , with the Distance CB , defcribe the Circle CBE . Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft ...
Seite 20
... Center C defcribe a Circle cut- ting the given right Line AB in the Points E and F ; then b bifect EF in G , and draw the right Line CG , which will be the Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC ...
... Center C defcribe a Circle cut- ting the given right Line AB in the Points E and F ; then b bifect EF in G , and draw the right Line CG , which will be the Perpendicular required . Draw the Lines CE , CF ; then the Triangles EGC , FGC ...
Seite 35
... Centers E and C with any Distance draw two equal Circles EF , CD : alfo at the Center F , with the Distance EC draw a Circle FD , which fhall cut the former Circle ( CD ) in the Point D : then fhall the Line drawn ( CD ) be parallel to ...
... Centers E and C with any Distance draw two equal Circles EF , CD : alfo at the Center F , with the Distance EC draw a Circle FD , which fhall cut the former Circle ( CD ) in the Point D : then fhall the Line drawn ( CD ) be parallel to ...
Seite 44
... Center B with the Distance BA , and from C ere & the Perpendicu- lar CE , meeting the Circumference in E , and draw BE . Then fhalla BE ( BA ' ) = BC ' + CE ' . Whence " BA ' -BC - CE ' . QE . F с 47. 1 . B 47. I. PROB . C A 2 III . Any ...
... Center B with the Distance BA , and from C ere & the Perpendicu- lar CE , meeting the Circumference in E , and draw BE . Then fhalla BE ( BA ' ) = BC ' + CE ' . Whence " BA ' -BC - CE ' . QE . F с 47. 1 . B 47. I. PROB . C A 2 III . Any ...
Häufige Begriffe und Wortgruppen
9 ax ABCD abfurd alfo alſo Altitude Angle ABC Bafe BC Baſe becauſe bifect Center Circ Cone confequently conft COROL Cylinder defcribed demonftrated Diameter draw the right drawn EFGH equal Angles equiangular equilateral Equimultiples EUCLID's ELEMENTS faid fame Multiple fecond fhall fimilar fince firft folid fome fore four right ftanding given right Line gles Gnomon greater Hence infcribe leffer lefs likewife Line CD Magnitudes manifeft manner Number oppofite Paral parallel Parallelepip Parallelepipedons Parallelogram perpend perpendicular poffible Point Polyhedron Prifms Probl PROP Propofition Pyramids Ratio Rectangle right Angles right Line AB right Line AC right-lined Figure SCHOL SCHOLIU Segment ſhall Side BC Sphere Square thefe thofe thro tiple Triangle ABC Whence whofe whole
Beliebte Passagen
Seite 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Seite 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Seite 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Seite 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Seite 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.