Elements of geometry, based on Euclid, book i1877 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 10
... triangle . PROOF . - Because the point A is the centre of the circle BCD , AC is equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) . Therefore AC and BC are each of them ...
... triangle . PROOF . - Because the point A is the centre of the circle BCD , AC is equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) . Therefore AC and BC are each of them ...
Σελίδα 11
... triangle DAB ( Book I. , A DAB e- Prop . 1 ) . Produce the straight lines DA , DB , to E and F ( Post . 2 ) . From ... ( Def . 15 ) . K H D A quilateral . B as cen- tre . Das cen- tre . K BC - BG . Because the point D is the centre of the ...
... triangle DAB ( Book I. , A DAB e- Prop . 1 ) . Produce the straight lines DA , DB , to E and F ( Post . 2 ) . From ... ( Def . 15 ) . K H D A quilateral . B as cen- tre . Das cen- tre . K BC - BG . Because the point D is the centre of the ...
Σελίδα 12
... DEF , cutting AB in E ( Post . 3 ) . Then AE shall be equal to C. PROOF . - Because the point A is the centre of the ... triangle be re- spectively equal to those of another , the triangles are equal in every respect . Let ABC , DEF be ...
... DEF , cutting AB in E ( Post . 3 ) . Then AE shall be equal to C. PROOF . - Because the point A is the centre of the ... triangle be re- spectively equal to those of another , the triangles are equal in every respect . Let ABC , DEF be ...
Σελίδα 13
... triangle ABC coincides with the whole A ABC triangle DEF , and is equal to it ( Ax . 8 ) . = DEF . Z DEF . And the other angles of the one coincide with the remain- 4 ABC = ing angles of the other , and are equal to them , viz . , the ...
... triangle ABC coincides with the whole A ABC triangle DEF , and is equal to it ( Ax . 8 ) . = DEF . Z DEF . And the other angles of the one coincide with the remain- 4 ABC = ing angles of the other , and are equal to them , viz . , the ...
Σελίδα 17
... triangle BDC is an isosceles triangle , and the angle BDC = BDC is equal to ... DEF be two triangles which have and > 4 BCD . AB = DE , AC = DF , and BC EF ... DEF , For if the triangle ABC be applied to the triangle So that the point B ...
... triangle BDC is an isosceles triangle , and the angle BDC = BDC is equal to ... DEF be two triangles which have and > 4 BCD . AB = DE , AC = DF , and BC EF ... DEF , For if the triangle ABC be applied to the triangle So that the point B ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Based on Euclid, Βιβλίο 1 Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Based on Euclid, Βιβλίο 1 Edward Atkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angles BGH angles CBA angles equal APPLIED base BC bisect centre cloth coincide common Const CONSTRUCTION describe diagonal Divide double draw equal to BC exterior angle extremity Fcap figure given point given straight line Glasgow gram greater half Illustrated interior and opposite isosceles triangle join length less Let ABC LL.D London Maps meet opposite angles opposite sides parallel parallel to BC parallelogram parallelogram ABCD perpendicular Plates Post 8vo produced Professor PROOF PROOF.-Because proved Q. E. D. Proposition respectively right angles right angles Ax School Science shown side BC sides square things triangle ABC triangle DEF whole
Δημοφιλή αποσπάσματα
Σελίδα 23 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 33 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz.
Σελίδα 43 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Σελίδα 15 - The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC...
Σελίδα 11 - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Σελίδα 37 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 41 - ... together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 15 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Σελίδα 55 - IF the square described upon one of 'the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Σελίδα 24 - If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.