1:1 PARAMETRIC CAD ENGINE · ISO 128 / ASME
41 Vector Math & Geometry Generators (.PPTX & .SVG)
Every generator builds true 1:1 scale 2D plane geometry, 3D solids with automatic dashed hidden edges, calculus & Cartesian function graphs, visual fractions, and A4 technical graph papers — 100% ungrouped and editable inside Microsoft PowerPoint and Office.
012D Plane Geometry & Constructions
16 CAD- P01
Triangle
1:1 Scale Triangle Diagrams (Isosceles, Equilateral, Right, Scalene)
A = (b · h) / 222 ready models - P02
SSS Triangle (Compass Construction)
SSS Triangle Construction with Straightedge & Compass Arcs
p = (a + b + c) / 221 ready models - P03
ASA Triangle (1 Side & 2 Angles)
ASA Triangle Generator (One Side & Two Adjacent Angles)
γ = 180° − (α + β)17 ready models - P04
Rhombus
Rhombus with Perpendicular Diagonals at 1:1 Scale
A = (D · d) / 213 ready models - P05
Trapezoid
Isosceles, Right & Scalene Trapezoid Diagrams with Altitude
A = (B + b) · h / 221 ready models - P06
Rectangle & Parallelogram
Rectangle & Parallelogram Diagrams with Diagonal and Height
A = b · h13 ready models - P07
Regular Polygons (Pentagon, Hexagon, Octagon)
Regular Polygons with Apothem, Incircle & Circumcircle
2p = n · l19 ready models - P08
Circle & Circumference
Circle & Circumference Diagrams with Radius, Diameter & Chord
d = 2 · r12 ready models - P09
Circular Sector
Circular Sector, Arc Length & Central Angle Diagrams
A_sett = π · r² · α / 360°11 ready models - P10
Pythagorean Theorem
Pythagorean Theorem Visual Proof with Squares on All Three Sides
a² + b² = c²19 ready models - P11
Angles & Degree Measures
Acute, Right, Obtuse, Complementary & Supplementary Angle Diagrams
α + β = 90° (compl.)20 ready models - P12
Square
Square Diagrams with Side & √2 Diagonal at 1:1 Scale
A = l²12 ready models - P13
Perpendicular Bisector
Perpendicular Bisector Euclidean Construction (Straightedge & Compass)
AM = MB = AB / 21 ready models - P14
Angle Bisector
Angle Bisector Euclidean Construction (Straightedge & Compass)
α₁ = α₂ = α / 21 ready models - P15
Perpendicular Through a Point
Perpendicular Line Through an Internal or External Point P
s ⊥ r2 ready models - P16
Circle Tangents (Thales' Construction)
Tangent Lines to a Circle from an External Point P (Thales' Circle)
PT₁ = PT₂ = √(OP² − r²)1 ready models
023D Solid Geometry
10 CAD- S01
3D Cube
3D Isometric Cube with Dashed Hidden Edges & Space Diagonal
V = l³17 ready models - S02
Rectangular Cuboid
3D Rectangular Prism / Cuboid with Dimensions & Space Diagonal
V = a · b · c17 ready models - S03
Right Polygonal Prism
3D Right Triangular, Pentagonal & Hexagonal Prism Diagrams
V = A_base · h23 ready models - S04
Cylinder
3D Right Circular Cylinder & Equilateral Cylinder Diagrams
V = π · r² · h19 ready models - S05
Cone
3D Right Circular Cone with Height, Radius & Slant Height
a = √(r² + h²)10 ready models - S06
Cone Frustum
3D Cone Frustum with Major Radius, Minor Radius & Slant Height
a = √[h² + (R − r)²]9 ready models - S07
Sphere
3D Sphere with Great Circle, Equator & Planar Cross-Section
S = 4 · π · r²6 ready models - S08
Pyramid
3D Square, Triangular & Hexagonal Right Pyramid with Slant Height
a = √(h² + r_inscr²)25 ready models - S09
Pyramid Frustum
3D Square & Polygonal Pyramid Frustum with Slant Height
S_lat = (2p_B + 2p_b) · a / 217 ready models - S10
3D Conic Sections
3D Conic Sections: Circle, Ellipse, Parabola & Hyperbola Cutting Planes
α = 0° (cerchio)7 ready models
03Cartesian Plane & Functions
9 CAD- G01
Cartesian Coordinate Plane
Printable 4-Quadrant Cartesian Coordinate Grid (SVG & Editable PPTX)
O(0, 0)16 ready models - G02
Linear Function & Line Graph
Linear Function Graph y = mx + b on the Cartesian Plane
y = m · x + q23 ready models - G03
Parabola (Quadratic Function)
Parabola & Quadratic Function Graph y = ax² + bx + c
y = ax² + bx + c23 ready models - G04
Hyperbola & Rational Function
Rectangular Hyperbola & Rational Function Graph with Asymptotes
y = k / x20 ready models - G05
Exponential Function
Exponential Growth & Decay Function Graph (y = k·aˣ + q)
y = k · aˣ + q18 ready models - G06
Derivative & Tangent Line
Geometric Meaning of the Derivative: Tangent Line, Secant & Non-Differentiable Points
f'(x₀) = lim_{h→0} [f(x₀ + h) − f(x₀)] / h0 ready models - G07
Function Study & Theorems
Complete Function Analysis & Rolle, Lagrange (MVT), and Cauchy Theorems on [a, b]
f'(c) = [f(b) − f(a)] / (b − a)0 ready models - G08
Definite Integral & Riemann Sums
Definite Integral, Riemann Sums (Left, Right, Midpoint, Upper/Lower) & Trapezoidal Rule
∫_a^b f(x) dx = F(b) − F(a)0 ready models - G09
Area Between Two Curves
Area Enclosed Between Two Curves f(x) & g(x), Infinitesimal dx/dy Slice & Solids of Revolution
A = ∫_a^b |f(x) − g(x)| dx0 ready models
04Arithmetic & Fractions
2 CAD05Typography & Technical Papers
4 CAD- T01
Graph & Millimeter Papers
True 1:1 Scale A4 Millimeter & Graph Paper (4 mm, 5 mm, 10 mm, Engineering Pad)
A4 = 21.0 × 29.7 cm0 ready models - T02
Academic Ruled & Cornell Layouts
Academic Ruled A4 Sheets: Classic Ruled, Cornell Notes, Two-Column & French Séyès
A4 = 21.0 × 29.7 cm0 ready models - T03
Isometric, Dot & Polar Grids
30° Isometric Grid, Bullet Dot Grid & Polar Coordinate Paper in 1:1 Scale
θ_iso = ±30° · 90°0 ready models - T04
Logarithmic & Trigonometric Papers
Semi-Log, Log-Log & Trigonometric Radian Graph Paper (π/6, π/4, π/2)
y = log₁₀(u) · N decadi0 ready models