Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
From inside the book
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... Side of a Square , as AB is the Square Root , or the Side of the Square AB . - And - 2 or 3 over one or more Quantities , fignifies the Square or Cube of them , as A or or AB or AB AC fignifies the Square of A , or of AB , or of AB + AC ...
... Side of a Square , as AB is the Square Root , or the Side of the Square AB . - And - 2 or 3 over one or more Quantities , fignifies the Square or Cube of them , as A or or AB or AB AC fignifies the Square of A , or of AB , or of AB + AC ...
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... Sides of the Angle ) but in the bigness of their Inclination , or bow- cing to one another : for example , the Angle DAF is greater than the Angle CAB ; tho ' the Lines or Sides AD , AF of the one are less than the Sides AC , AB of the ...
... Sides of the Angle ) but in the bigness of their Inclination , or bow- cing to one another : for example , the Angle DAF is greater than the Angle CAB ; tho ' the Lines or Sides AD , AF of the one are less than the Sides AC , AB of the ...
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... Sides meet , which is called the angular Point . As the Angle DAF fhews the Angle formed by the two Lines or Sides DA , AF ; it being the angular Point wherein the Sides meet . Moreover , right - lined Angles are fuch , whofe Sides are ...
... Sides meet , which is called the angular Point . As the Angle DAF fhews the Angle formed by the two Lines or Sides DA , AF ; it being the angular Point wherein the Sides meet . Moreover , right - lined Angles are fuch , whofe Sides are ...
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... Sides ; as the Triangle A. 24. An Ifofceles Triangle , is that which hath only two Sides equal ; as the Triangle B. 25. A Scalene Triangle , is one whofe three Sides are all unequal ; as C. 26. Of thefe Trilateral Fi- gures , a Right ...
... Sides ; as the Triangle A. 24. An Ifofceles Triangle , is that which hath only two Sides equal ; as the Triangle B. 25. A Scalene Triangle , is one whofe three Sides are all unequal ; as C. 26. Of thefe Trilateral Fi- gures , a Right ...
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... Sides are equal , and Angles right ; as A B CD . 30. An Oblong , or Long - fquare , is a Fi- gure that has four right Angles , but not equal Sides ; as ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right ...
... Sides are equal , and Angles right ; as A B CD . 30. An Oblong , or Long - fquare , is a Fi- gure that has four right Angles , but not equal Sides ; as ABCD . 31. A Rhombus , is a Figure which hath four equal Sides , but is not right ...
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.