Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Inni boken
Resultat 1-5 av 18
Side 102
... Multiples of thofe at the Vertex ; and Figures of even Numbers of Sides may be infcribed in a Circle by help of Ifofceles Triangles , whofe Angles at the Bafe are fefquialteral Multiples of thofe at the Vertex . As in the Ifofceles ...
... Multiples of thofe at the Vertex ; and Figures of even Numbers of Sides may be infcribed in a Circle by help of Ifofceles Triangles , whofe Angles at the Bafe are fefquialteral Multiples of thofe at the Vertex . As in the Ifofceles ...
Side 108
... Multiple is a great Magnitude in refpect of a lefs , when the lefs measures the greater . III . Ratio is a certain mutual Habitude , or Refpect of two Magnitudes of the fame kind according to Quantity . That Quantity , in every Ratio ...
... Multiple is a great Magnitude in refpect of a lefs , when the lefs measures the greater . III . Ratio is a certain mutual Habitude , or Refpect of two Magnitudes of the fame kind according to Quantity . That Quantity , in every Ratio ...
Side 110
... Multiple of the first Magnitude A fhall be greater than G , the Multiple of the second B ; but F the Multiple of the third C does not exceed H , that of the fourth D : then the firft A is faid to have a greater Ratio to the fecond B ...
... Multiple of the first Magnitude A fhall be greater than G , the Multiple of the second B ; but F the Multiple of the third C does not exceed H , that of the fourth D : then the firft A is faid to have a greater Ratio to the fecond B ...
Side 113
... Multiple of the Second C , as the third DE is of the fourth F , and if the fifth BG le the fame Multiple of ; the fecond C , as the fixth EH is of the fourth F then shall the first compounded with the fifth ( viz . AG ) be the fame Multiple ...
... Multiple of the Second C , as the third DE is of the fourth F , and if the fifth BG le the fame Multiple of ; the fecond C , as the fixth EH is of the fourth F then shall the first compounded with the fifth ( viz . AG ) be the fame Multiple ...
Side 114
... Multiple EI equal to A ; and FK , KL , LM parts of the Multiple FM equal to C. b The Number of thefe is equal to the Num- ber of them . Moreover A , that is , EG or GH , or GI , is fuppofed the fame Multiple of B as C or FK , & c . is ...
... Multiple EI equal to A ; and FK , KL , LM parts of the Multiple FM equal to C. b The Number of thefe is equal to the Num- ber of them . Moreover A , that is , EG or GH , or GI , is fuppofed the fame Multiple of B as C or FK , & c . is ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.