Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
From inside the book
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Page 4
... contain or form an Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal ...
... contain or form an Angle are right ones , that Angle is called a Right - lined Angle . 10. When a right G Line CG , ftanding upon a right Line AB , makes the Angles CGA , CGB , on each fide equal to one another , each of thofe equal ...
Page 5
... contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another ...
... contained under one or more Terms or Bounds . 15. A Circle is a plane Figure contained under one Line , which is called the Circumference ; to which all Lines that fall from a certain Point within the Figure , are equal to one another ...
Page 6
Euclid. 22. Multilateral or many - fided Figures , are fuch as are contained under more right Lines than four . A B A 23. Of Trilateral Figures , an Equilateral Triangle , is that which hath three equal Sides ; as the Triangle A. 24. An ...
Euclid. 22. Multilateral or many - fided Figures , are fuch as are contained under more right Lines than four . A B A 23. Of Trilateral Figures , an Equilateral Triangle , is that which hath three equal Sides ; as the Triangle A. 24. An ...
Page 11
... contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be equal to the excefs of the unequal things before the Addi- tion . As if AB , and CD : then shall A + C - B - D = C - D . 16. If to ...
... contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be equal to the excefs of the unequal things before the Addi- tion . As if AB , and CD : then shall A + C - B - D = C - D . 16. If to ...
Page 14
... e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 EUCLID'S Elements .
... e- qual to one Angle ( a ) , contained under the equal right Lines : they fhall have the Base ( BC ) equal to the Bafe ( bc ) , and the Triangle ( BAC ) shall be e- ДД B qua qual to the Triangle ( bac ) ;, and the 14 EUCLID'S Elements .
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.