The elements of plane geometry, Volum 1 |
Inni boken
Resultat 1-5 av 12
Side 16
... coincide . SECTION I. ANGLES AT A POINT . [ An angle is a simple concept incapable of definition , properly so called , but the nature of the concept may be explained as follows , and for convenience of reference the explanation may be ...
... coincide . SECTION I. ANGLES AT A POINT . [ An angle is a simple concept incapable of definition , properly so called , but the nature of the concept may be explained as follows , and for convenience of reference the explanation may be ...
Side 19
... coincides with the angle EFG , and therefore the angle ABC is equal to the angle EFG . Ax . 1 . Q.E.D. COR . 1. At a given point in a given straight line only one perpen- dicular can be drawn to that line . COR . 2. The complements of ...
... coincides with the angle EFG , and therefore the angle ABC is equal to the angle EFG . Ax . 1 . Q.E.D. COR . 1. At a given point in a given straight line only one perpen- dicular can be drawn to that line . COR . 2. The complements of ...
Side 24
... coincide with one another are said to be identically equal ; or they are said to be equal in all respects . DEF . 20. The area of a plane figure is the quantity of the plane surface inclosed by its boundary . DEF . 21. A plane ...
... coincide with one another are said to be identically equal ; or they are said to be equal in all respects . DEF . 20. The area of a plane figure is the quantity of the plane surface inclosed by its boundary . DEF . 21. A plane ...
Side 26
... coincide with Ax . 2 . EF , and the triangle ABC will coincide with the triangle DEF , and is therefore identically equal to it , Ax . I. the side BC equal to the side EF , the angle ACB to the angle DFF , and the angle ABC to the angle ...
... coincide with Ax . 2 . EF , and the triangle ABC will coincide with the triangle DEF , and is therefore identically equal to it , Ax . I. the side BC equal to the side EF , the angle ACB to the angle DFF , and the angle ABC to the angle ...
Side 27
... is equal to the angle EFD ; Hyp . hence A , which is the point of intersection of BA and CA , will fall on D , which is the point of intersection of ED and FD , and the triangle ABC will coincide with the triangle DEF TRIANGLES . 27.
... is equal to the angle EFD ; Hyp . hence A , which is the point of intersection of BA and CA , will fall on D , which is the point of intersection of ED and FD , and the triangle ABC will coincide with the triangle DEF TRIANGLES . 27.
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Vanlige uttrykk og setninger
AB is equal ABCD AC is equal adjacent angles adjoining sides alternate angle angle ABC angle ACB angle AFG angle BAC angle CAB angle DEF angle EDF angle FGD angles are equal angles equal BA and AC base BC bisector bisects centre circle cutting Constr construct a triangle contrapositive diagonal distance draw a circle equal angles equal to AC equal to CD exterior angle find the locus Geometry given angle given point given straight line greater Hence hypotenuse identically equal interior opposite angle isosceles triangle less Let ABC meet middle point obtuse angle opposite sides parallel straight lines parallelogram perpendicular point equidistant Prob produced quadrilateral rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC sides equal square on AC squares on AB straight line drawn Theorem trapezium triangle ABC triangles are identically twice the rectangle vertex
Populære avsnitt
Side 27 - 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. either the sides adjacent to the equal...
Side 98 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 35 - Any two sides of a triangle are together greater than the third side.
Side 26 - The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal to one another.
Side 37 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 110 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 31 - Any two angles of a triangle are together less than two right angles.
Side 115 - In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.