The Elements of Plane and Solid Geometry: With Chapters on Mensuration and Modern GeometryPorter & Coates, 1882 - 266 σελίδες |
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Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 26
... Proposition 12 . Problem . To draw a straight line perpendicular to a given straight line of unlimited length , from ... Proposition 13 . Problem . — At a given point 26 GEOMETRY . — BOOK I.
... Proposition 12 . Problem . To draw a straight line perpendicular to a given straight line of unlimited length , from ... Proposition 13 . Problem . — At a given point 26 GEOMETRY . — BOOK I.
Σελίδα 27
With Chapters on Mensuration and Modern Geometry Isaac Sharpless. Proposition 13 . Problem . — At a given point in a straight line to make an angle equal to a given angle . • Restatement . Let A be a given point in the line AB , and It ...
With Chapters on Mensuration and Modern Geometry Isaac Sharpless. Proposition 13 . Problem . — At a given point in a straight line to make an angle equal to a given angle . • Restatement . Let A be a given point in the line AB , and It ...
Σελίδα 38
... 13 ) the angle DAE equal to the angle ADC , and produce EA to F E B D Then , because the alternate angles EAD , ADC are equal , EF is parallel ( I. 25 ) to BC . Proposition 30 . Theorem . — If one side of a triangle be produced , the ...
... 13 ) the angle DAE equal to the angle ADC , and produce EA to F E B D Then , because the alternate angles EAD , ADC are equal , EF is parallel ( I. 25 ) to BC . Proposition 30 . Theorem . — If one side of a triangle be produced , the ...
Σελίδα 44
... 13 ) . Proposition 39 . Problem . To describe a triangle equal to a given polygon . Let ABCDE be a polygon ; it is required to describe a triangle equal to it . Join AC , and draw BF parallel to it , and join AF . Then , because ABC ...
... 13 ) . Proposition 39 . Problem . To describe a triangle equal to a given polygon . Let ABCDE be a polygon ; it is required to describe a triangle equal to it . Join AC , and draw BF parallel to it , and join AF . Then , because ABC ...
Σελίδα 72
... Proposition 13 . Theorem . - The diameter is the greatest straight line in a circle ; and of all others , that which is nearer the centre is greater than one more remote ; and the greater is nearer the centre than the less . Let ABCD be ...
... Proposition 13 . Theorem . - The diameter is the greatest straight line in a circle ; and of all others , that which is nearer the centre is greater than one more remote ; and the greater is nearer the centre than the less . Let ABCD be ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A-BCD AB² ABCD altitude angle ABC angle ACB angle BAC base bisect centre of similitude chord circle ABC circumference cone Corollary cylinder decagon describe diagonals diameter divided draw equal angles equiangular feet figure find the volume four right angles frustum given circle given straight line greater Hence included angle inscribed interior angles intersection Let ABC meet middle point Multiply number of sides opposite angles parallelogram parallelopiped pass perimeter perpendicular plane pole polyedron prism Problem.-To Prop proportional Proposition 11 Proposition 13 pyramid quadrilateral radical axis radii radius rectangle contained regular polygon right angles Scholium segment semicircle similar similar triangles slant height solid solid angle sphere spherical angle spherical triangle square symmetrical tangent Theorem Theorem.-If triangle ABC vertex
Δημοφιλή αποσπάσματα
Σελίδα 56 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 77 - The angles in the same segment of a circle are equal to one another.
Σελίδα 81 - If a straight line touch a circle, and from the point of contact a...
Σελίδα 128 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the...
Σελίδα 17 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals the remainders are equal.
Σελίδα 110 - 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 64 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.
Σελίδα 164 - A be a solid angle contained by any number of plane angles BAC, CAD, DAE, EAF, FAB: these together are less than four right angles. Let the planes...
Σελίδα 17 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line.
Σελίδα 127 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the...