Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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... Prop . 29 , and 30. Lib . II . and Prop . 17. Lib . 12 . Moreover , the fecond Book wants the Schemes of Prop . 5 , 6 , 7 , 8 , which by a bare Contemplation and Attention to the Text , would be almoft fufficient to evince their Truth ...
... Prop . 29 , and 30. Lib . II . and Prop . 17. Lib . 12 . Moreover , the fecond Book wants the Schemes of Prop . 5 , 6 , 7 , 8 , which by a bare Contemplation and Attention to the Text , would be almoft fufficient to evince their Truth ...
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... Prop . 17 . Lib . 12. and thofe of Prop . 5 , 6 , 7 , 8. Lib . 2 . wanting , are here fupply'd . I have likewife left out fome , and alter'd others of the Algebraick Demonftrations of the Second Book , which appeared to me too Intricate ...
... Prop . 17 . Lib . 12. and thofe of Prop . 5 , 6 , 7 , 8. Lib . 2 . wanting , are here fupply'd . I have likewife left out fome , and alter'd others of the Algebraick Demonftrations of the Second Book , which appeared to me too Intricate ...
Página 16
... PROP . VI . · C If two Angles ( ABC , ACB ) of a Triangle ( ABC ) be equal the one to the other ; the Sides AB , AC , fubtended under the equal Angles , fhall also be equal . the one to the other : If the Sides are not equal , let ...
... PROP . VI . · C If two Angles ( ABC , ACB ) of a Triangle ( ABC ) be equal the one to the other ; the Sides AB , AC , fubtended under the equal Angles , fhall also be equal . the one to the other : If the Sides are not equal , let ...
Página 18
... PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take h AD AE , and draw the Line DE , upon which make an equilateral Triangle ... PROP . A C D PROP . X. To bifect a given 18 EUCLID'S Elements .
... PROP . IX . To . bifect or divide a given right - lined Angle BAC , into two equal Parts . i - Take h AD AE , and draw the Line DE , upon which make an equilateral Triangle ... PROP . A C D PROP . X. To bifect a given 18 EUCLID'S Elements .
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... Prop . 1. of this Book is fufficient for fhewing the Practice of this , and the laft Problem . F PROP . XI . A- B D C E From a given Point ( C ) in a given right Line ( AB ) , to erect a right Line CF , at right Angles to AB . On either ...
... Prop . 1. of this Book is fufficient for fhewing the Practice of this , and the laft Problem . F PROP . XI . A- B D C E From a given Point ( C ) in a given right Line ( AB ) , to erect a right Line CF , at right Angles to AB . On either ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.