Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα
... thofe of 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 ...
... thofe of 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 ...
Σελίδα
... 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 for a Learner not used to ...
... 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 for a Learner not used to ...
Σελίδα 4
... one another , each of thofe equal Angles is call'd a Right Angle ; B and the right Line CG thus ftanding , is called a Perpendicular to the Line AB , upon which it ftands . 11. An B. A V D 11. An Obtufe An- gle is 4 EUCLID'S Elements .
... one another , each of thofe equal Angles is call'd a Right Angle ; B and the right Line CG thus ftanding , is called a Perpendicular to the Line AB , upon which it ftands . 11. An B. A V D 11. An Obtufe An- gle is 4 EUCLID'S Elements .
Σελίδα 11
... thofe two right Lines produced , fhall meet on that Side , where the Angles are lefs than two right Angles . 14. Two right Lines do not contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be ...
... thofe two right Lines produced , fhall meet on that Side , where the Angles are lefs than two right Angles . 14. Two right Lines do not contain a Space . 15. If to equal things you add unequal things , the excess of the wholes fhall be ...
Σελίδα 20
... thofe are either two right An- gles , or both together e- qual to two right Angles . ABD be equal ; then it f 10 def . is manifeft they make two right Angles ; if un- equal , then from the Point B let there be erect- g 11.1 . ed & a ...
... thofe are either two right An- gles , or both together e- qual to two right Angles . ABD be equal ; then it f 10 def . is manifeft they make two right Angles ; if un- equal , then from the Point B let there be erect- g 11.1 . ed & a ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.